Engg. Mechanics Unit-3 Curvilinear Motion MCQ's

Last modified by Vishal E on 2019/02/15 15:54

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Engg. Mechanics Unit-3 Curvilinear Motion MCQ's

QUESTION
In curvilinear motion , velocity of a particle is always 

  1. Normal to path of particle 
  2. Tangential to path of particle 
  3. Depends on acceleration 
  4. None of above 
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QUESTION
In curvilinear motion, acceleration of a particle is always 

  1. Normal to path of particle 
  2. Tangential to path of particle 
  3. Depends on velocity of particle 
  4. Towards concave side of path of particle 
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QUESTION
In curvilinear motion, acceleration of a particle is always 

  1. Normal to path of particle 
  2. Tangential to path of particle 
  3. Along the direction of velocity 
  4. Never tangential to the path of particle. 
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QUESTION
Motion of a particle is defined by x = 4 + 3t2 and y = 3 + t3, acceleration of particle at t = 0 is 

  1. 5 m/s2 
  2. 3 m/s2 
  3. 4 m/s2 
  4. 6 m/s2 
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QUESTION
Motion of a particle is defined by x = 4t + 3t2 and y = 3 + t3, initial velocity of particle is 

  1. 0 m/s 
  2. 4 m/s 
  3. 3 m/s 
  4. 5 m/s 
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QUESTION
Particle moves along path defined by y 2 = 9 x, where x and y are in m. the x co-ordinate is given by x = t 2 what is the y component of velocity at t = 2 s 

  1. 0 m/s 
  2. 9 m/s 
  3. 3 m/s 
  4. 81 m/s 
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QUESTION
A particle moves along a path r = (8t2)i + (t3 + 5)j, magnitude of particles velocity at t = 3 s is 

  1. 55.07 m/s 
  2. 5.507 m/s 
  3. 50.5 m/s 
  4. 24.1 m/s 
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QUESTION
Motion of particle is defined by x = 1- t and y = t2, what is the equation of path 

  1. y = (x -1)2 
  2. y = (1- x)2 
  3. y = (x + 1)2 
  4. y = (x -1)2/3 
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QUESTION
Motion of particles A and B is described by the position vectors rA = 3ti + 9t(2 - t)j and rB = 3(t2 - 2t + 2)i + 3(t - 2)j. time at which the two particles collide is 

  1. 2 s 
  2. 4.5 s 
  3. 3 s 
  4. 9 s 
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QUESTION
In case of tracking of space vehicles ------ system of coordinates is useful 

  1. Cartesian 
  2. polar 
  3. path 
  4. All 
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QUESTION
If acceleration of particle is zero, it implies 

  1. Velocity of particle is constant 
  2. Velocity of particle is zero 
  3. Radius of curvature is zero 
  4. Velocity of particle is constant and travels along a straight path 
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QUESTION
Hodograph is the curve 

  1. Joining the ends of velocity vectors drawn from a common point 
  2. Joining acceleration vectors 
  3. Joining the velocity vector tail to head 
  4. None of above 
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QUESTION
Acceleration of a particle is tangential to 

  1. Path of a particle 
  2. Hodograph 
  3. Radial direction 
  4. Normal direction 
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QUESTION
A particle starting from the origin is subjected to acceleration ax = - 2 m/s2 and ay = 2 m/s2 initial velocity of particle is 40 m/s at 300 to x-axis. Find x component of velocity at t = 4s. 

  1. 26.64 m/s 
  2. 22.44 m/s 
  3. 28.00 m/s 
  4. 46.75 m/s 
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QUESTION
A particle starting from the origin is subjected to acceleration ax = -2m/s2 and ay = 2 m/s2 initial velocity of particle is 40 m/s at 300 to x-axis. Find y component of velocity at t =4s. 

  1. 26.64 m/s 
  2. 22 . 44 m/s 
  3. 28.00 m/s 
  4. 46.75 m/s 
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QUESTION
A particle is moving in x-y plane with y component of velocity, vy = 6t m/s, where t is in seconds. If ax = 3t m/s2, when t = 0, x = 3m, y = 0 and vx = 0. What is value of x when t = 2s. 

  1. 123 m 
  2. 34 m 
  3. 23 m 
  4. 67.08 m 
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QUESTION
If the motion of particle is defined by x = 2t2 and y = 2t-2 then the path of particle is 

  1. x2/y2 = 2 
  2. x2 y2 = 2 
  3. y2 = 2 x2 
  4. xy = 4 
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QUESTION
Position vector of a point along a curved path is r =[ (t3 - t2)i + t4 j] m. velocity of particle at t = 2s 

  1. 32.98 m/s 
  2. 43 m/s 
  3. 23 m/s 
  4. 12 m/s 
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QUESTION
Position vector of a point along a curved path is r =[ (t3- t2)i + t4 j] m. x component of acceleration of particle at t = 2s 

  1. 2 m/s2 
  2. 10 m/s2 
  3. 6 m/s2 
  4. 8 m/s2 
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QUESTION
Position vector of a point along a curved path is r =[ (t3- t2)i + t4 j] m. y component of acceleration of particle at t = 1s 

  1. 3 m/s2 
  2. 6 m/s2 
  3. 12 m/s2 
  4. 9 m/s2 
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QUESTION
The position vector of a particle moving in x-y plane at time t = 4s is 3.2i – 4.6j m again at t = 4.1s, position vector is 3.28i – 4.66j m. What is average velocity component in y-direction? 

  1. 0.8 m/s 
  2. 0.6 m/s 
  3. (- 0.6) m/s 
  4. 1 m/s 
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QUESTION
If v = 8ti + 9t2j m/s, where t is in seconds, determine the distance from the origin to the particle when t = 1s. 

  1. 4 m 
  2. 5 m 
  3. 3 m 
  4. None of the above 
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QUESTION
When t = 0 a particle is at the origin. If its x component of velocity is constant, v = 4 m/s, calculate the distance it travels along the x axis in t = 2s. 

  1. 8.5 m 
  2. 8 m 
  3. 10 m 
  4. None of the above 
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QUESTION
If its y component of acceleration is ay = 3 m/s2, calculate how far it travels along the y axis in t = 2s. When t = 0, vy = 0. 

  1. 9 m 
  2. 12 m 
  3. 6 m 
  4. None of the above 
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QUESTION
19. The position of a particle is defined as x = 2t2 + 5 and y = t3 – 9, where x and y is in m and t is in s. The velocity of particle at t = 1 s is 

  1. 5 m/s 
  2. 7 m/s 
  3. 1 m/s 
  4. None of the above 
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QUESTION
The velocity of the particle is expressed as v = t2 - 8t + 12, where v is in m/s and t is in s. Determine the time at which velocity is zero. 

  1. 6 s 
  2. 2 s 
  3. 2 and 6 s 
  4. None of the above 
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QUESTION
Correct meaning of curvilinear motion particle is 

  1. Velocity and acceleration are tangential to the path 
  2. Velocity is tangential and acceleration is normal to the path 
  3. Velocity is normal and acceleration is tangential to the path 
  4. Velocity is tangential and acceleration is never tangential to the path. 
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QUESTION
If motion of particle is expressed as x = t2 + 4 and y = t2 - 4 then at t = 2 s, the angle θ made by velocity with x axis is 

  1.   00 
  2.   300 
  3.   450 
  4. None of the above 
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QUESTION
If motion of particle is expressed as x = t2 + 4 and y = t2 - 4 then the velocity at t = 2 s, is 

  1. 4 m/s 
  2. 5 m/s 
  3. 4√2 m /s 
  4. 10 m/s. 
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QUESTION
If velocity of particle is expressed as vx = t2 + 4 m/s and vy = t2 - 4 m/s then the acceleration at t = 2 s, is 

  1. 4 m /s2 
  2. 5 m /s2 
  3. 10 m /s2 
  4. 4√2 m /s2 
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QUESTION
At the point on the curve, the normal acceleration a n = 0 because at that point radius of curvature becomes -------- 

  1. Zero 
  2. One 
  3. Infinite 
  4. None of these 
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QUESTION
The position of a particle moving on curvilinear path are defined by x = 2 + 3t2 and y = 3 + t3, the magnitude of velocity at t = 2 s is 

  1. 9 m/s 
  2. 12 m/s 
  3. 17 m/s 
  4. 24 m/s 
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QUESTION
A particle moves along the path y2 = 9 x , where x and y are in meters. The x co-ordinate of the particle at any time is given by x = t2. Determine y component of velocity at t = 3 s 

  1. 3m/s 
  2. 9 m/s 
  3. 81 m/s 
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QUESTION
The motion of particle in x-y plane is defined by x = t3 + 2 t2 + 4 t and y = 5 t + 2 t + 3t where x and y are in meters and t in s. The velocity of a particle when t = 0 is 

  1. 4 m/s 
  2. 5 m/s 
  3. 16 m/s 
  4. 25 m/s 
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QUESTION
If velocity of particle is expressed as vx = t2 + 4 m/s and vy = t2 - 4 m/s then the acceleration at t = 2 s, is 

  1. 4 m/s2 
  2. 5 m/s 2 
  3. 4√2 m /s2 
  4. 10 m/s2 
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QUESTION
If x = t2 + 4 m and y = t2 - 4 then at t = 2s, the angle θ made by velocity with x axis is 

  1.   000 
  2.   300 
  3.   450 
  4.   600 
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QUESTION
If vx = t2 + 4 m/s and vy = t2 - 4 m/s then at t = 2 s, the angle θ made by acceleration 

  1.   000 
  2.   300 
  3.   450 
  4.   600 
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QUESTION
If vx = t2 + 4 m/s and vy = t2 - 4 m/s then at t = 2 s, the angle θ made by velocity with x-axis is 

  1.   000 
  2.   300 
  3.   450 
  4.   600 
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QUESTION
If sx = a sin ωt m and sy = a cos ωt m then at t = 3 s, the magnitude of displacement is 

  1. 4 m 
  2. 5 m 
  3. a m 
  4. 10 m 
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QUESTION
A shell is fired from a gun barrel with a certain velocity will have maximum range if it fired with what angle with the horizontal plane. 

  1.    00 
  2.      300 
  3.       450 
  4.       900 
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QUESTION
A projectile is projected with a certain velocity at an angle θ with the horizontal plane. The horizontal distance traveled by the projectile is proportional to 

  1. sin θ 
  2. sin3 θ 
  3. sin2 θ 
  4. sin2 θ 
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QUESTION
A projectile is projected with a certain velocity at an angle θ with the horizontal plane. The maximum height of a flight of the projectile is proportional to 

  1. sin θ 
  2. sin3 θ 
  3. sin2 θ 
  4. sin2 θ 
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QUESTION
A particle having v = 4i + 3j at any instant. Total acceleration is 10 m/s2 at 300 with the velocity, determine ax. 

  1. 3.93 m/s2 
  2. 4.93 m/s2 
  3. 10 m/s2 
  4. 7 m/s2 
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QUESTION
A particle having v = 4i + 3j at any instant. Total acceleration is 10 m/s2 at 300 with velocity, determine ay. 

  1. 10.2 m/s2 
  2. 9.2 m/s2 
  3. 15 m/s2 
  4. 20 m/s2 
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QUESTION
A particle having v = 4i + 3j at any instant. Total acceleration is 10 m/s2 at 300 with velocity, determine an. 

  1. 2.5 m/s2 
  2. 7.5 m/s2 
  3. 5 m/s2 
  4. 10 m/s2 
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QUESTION
A particle having v = 4i + 3j at any instant. Total acceleration is 10 m/s2 at 300 with velocity, determine at. 

  1. 2.5 m/s2 
  2. 7.5 m/s2 
  3. 5 m/s2 
  4. 8.66 m/s2 
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QUESTION
The velocity of a particle moving in the x-y plane is given by 6.12 i + 3.24 j m/s at time t = 3.65 s. Its average acceleration during the next 0.02 s is 4i + 6j m/s2. Determine the angle θ between the average acceleration vector and velocity vector at t 

  1.      27.90 
  2.      28.90 
  3.      270 
  4.      29.90 
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QUESTION
A particle moving in the x-y plane has a velocity at time t = 6 s is given by 4i + 5j m/s and at t = 6.1 s its velocity has become 4.3i + 5.4 j m/s. calculate the magnitude of its average acceleration during the 0.1 s interval. 

  1. 5.55 m/s2 
  2. 6.00 m/s2 
  3. 0.5 m/s2 
  4. 0.55m/s2 
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QUESTION
The position vector of a particle moving in the x-y plane at time t = 3.60 s is 2.76i-3.28j m. At t = 3.62 s its position vector has become 2.79i - 3.33j m. Determine the magnitude of its average e velocity during this interval. 

  1. 2.92 m/s 
  2. 2.00 m/s 
  3. 2.99 m/s 
  4. 2.22 m/s 
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QUESTION
The motion of a particle is described by the following equations x = t2 + 8t + 4, y = t3 + 3t2 + 8t + 4, determine initial velocity of the particle. 

  1. 11.31 m/s 
  2. 33.33 m/s 
  3. 23.32 m/s 
  4. 11.13 m/s 
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QUESTION
The position of a particle is expressed as = (4t2 + 2)i + (2t3 + 4)j, determine the velocity of a particle at t = 1s. 

  1. 6 m/s 
  2. 12 m/s 
  3. 6√2 m/s 
  4. 10 m/s 
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QUESTION
The position of a particle is defined as x = 2t2 + 5 and y = t3 – 9, where x and y is in m and t is in s. determine the velocity of particle at t = 1 s is 

  1. 5 m/s 
  2. 7 m/s 
  3. 1 m/s 
  4. None of these 
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QUESTION
If vx = a sin ωt m/s and vy = a cos ωt m/s then at t = 3 s, the angle θ made by velocity with y-axis is 

  1. ω 
  2. 2 ω 
  3. 3 ω 
  4. None of these 
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QUESTION
If vx = a sin ωt m/s and vy= a cos ωt m/s then at t =3 s, the angle θ made by acceleration with x-axis is 

  1. ω 
  2. 2 ω 
  3. 3 ω 
  4. 180 - 3 ω 
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QUESTION
If sx = a sin ωt m and sy = a cos ωt m then at t = 3s, the angle θ made by velocity with x-axis is 

  1. ω 
  2. 2 ω 
  3. 3 ω 
  4. 180 - 3 ω 
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QUESTION
If ax = t2 + t + 4 m/s2 and ay = 8t m/s2 then at t = 1 s, the angle θ made by acceleration with x-axis is 

  1. tan-1 4/3 
  2. tan-1 5/4 
  3. tan-1 5/3 
  4. None of these 
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QUESTION
If sx = t2 + t + 4 m and sy = 4t m then at t = 1 s, the magnitude of velocity is 

  1. 4 m/s 
  2. 5 m/s 
  3. 20 m /s 
  4. 10 m/s 
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QUESTION
If vx = t2 + t + 4 m/s and vy = 4t m/s then at t = 1 s, the magnitude of acceleration is 

  1. 4 m/s2 
  2. 5 m/s 2 
  3. 20 m /s2 
  4. 10 m/s2 
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QUESTION
If sx = t2 + t + 4 m and sy = 4t m then at t = 1 s, the angle θ made by velocity with x-axis is 

  1. tan-1 4/3 
  2. tan-1 5/4 
  3. tan-1 5/3 
  4. None of these 
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QUESTION
If vx = t2 + t + 4 m/s and vy = 4t m/s then at t = 1 s, the angle θ made by acceleration with x-axis is 

  1. tan-1 4/3 
  2. tan-1 5/4 
  3. tan-1 5/3 
  4. None of these 
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QUESTION
If sx = t2 + 2t + 4 m and sy = 8t m then at t = 2 s, the magnitude of displacement is 

  1. 4 m 
  2. 5 m 
  3. 20 m 
  4. 10 m 
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QUESTION
If vx = t2 + 2t + 4 m/s and vy = 8t m/s then at t = 2 s, the magnitude of velocity is 

  1. 4 m/s 
  2. 5 m/s 
  3. 20 m/s 
  4. 10 m/s 
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QUESTION
If ax = t2 + 2t + 4 m/s2 and ay = 8t m/s2 then at t = 2 s, the magnitude of acceleration is 

  1. 4 m/s2 
  2. 5 m/s 2 
  3. 20 m/s2 
  4. 10 m/s2 
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QUESTION
If sx = t2 + 2t + 4 m and sy = 8t m then at t = 2 s, the angle θ made by total displacement with x-axis is 

  1. tan-1 4/3 
  2. tan-1 5/4 
  3. tan-1 5/3 
  4. None of these 
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QUESTION
If ax = t2 + 2t + 4 m/s2 and ay = 8t m/s2 then at t = 2 s, the angle θ made by acceleration with x-axis is 

  1. tan-1 4/3 
  2. tan-1 5/4 
  3. tan-1 5/3 
  4. None of these 
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QUESTION
If sx = t2 + 2t + 4 m and sy = 2t2 m then at t = 2 s, the magnitude of velocity is 

  1. 4 m/s 
  2. 5 m/s 
  3. 20 m/s 
  4. 10 m/s 
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QUESTION
If vx = t2 + 2t + 4 m/s and vy = 2t2 m/s then at t = 2 s, the magnitude of acceleration is 

  1. 4 m/s2 
  2. 5 m/s 2 
  3. 20 m /s2 
  4. 10 m/s2 
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QUESTION
If sx = t2 + 2t + 4 m and sy = 2t2 m then at t =2 s, the angle θ made by velocity with x-axis is 

  1. tan-1 4/3 
  2. tan-1 5/4 
  3. tan-1 5/3 
  4. None of the above 
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QUESTION
If vx = t2 + 2t + 4 m/s and vy = 2t 2 m/s then at t = 2 s, the angle θ made by acceleration with x-axis is 

  1. tan-1 4/3 
  2. tan-1 5/4 
  3. tan-1 5/3 
  4. None of the above 
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QUESTION
If vx = t2 + 2t + 4 m/s and vy = 8t m/s then at t = 2 s, the angle θ made by velocity with x-axis is 

  1. tan-1 4/3 
  2. tan-1 5/4 
  3. tan-1 5/3 
  4. None of the above 
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QUESTION
If sx = t2 + t + 4 m and sy = 4t m then at t = 3 s, the magnitude of displacement is 

  1. 4 m 
  2. 5 m 
  3. 20 m 
  4. 10 m 
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QUESTION
If vx = t2 + t + 4 m/s and vy = 4t m/s then at t = 3s, the magnitude of velocity is 

  1. 4 m/s 
  2. 5 m/s 
  3. 20 m/s 
  4. 10 m/s 
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QUESTION
If ax = t2 + t + 4 m/s2 and ay = 4t m/s2 then at t = 3 s, the magnitude of acceleration is 

  1. 4 m/s2 
  2. 5 m/s2 
  3. 20 m/s2 
  4. 10 m/s2 
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QUESTION
If sx = t2 + t + 4 m and sy = 4t m then at t = 3 s, the angle θ made by displacement with x-axis is 

  1. tan-1 4/3 
  2. tan-1 5/4 
  3. tan-1 5/3 
  4. None of the above 
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QUESTION
If ax = t2 + t + 4 m/s2 and ay = 4t m/s2 then at t = 3 s, the angle θ made by acceleration 

  1. tan-1 4/3 
  2. tan-1 5/4 
  3. tan-1 5/3 
  4. None of the above 
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QUESTION
If a particle moves along a curve with a constant speed, then its tangential component of acceleration is 

  1. Positive 
  2. Negative 
  3. Zero 
  4. Constant 
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QUESTION
In curvilinear motion normal component of acceleration represents 

  1. Rate of change of magnitude of velocity 
  2. Rate of change of direction of velocity 
  3. Both a and b 
  4. None of the above 
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QUESTION
A particle travels in a circular path of radius 300 m has an instantaneous velocity of 30 m/s and its velocity is increasing at a constant rate of 4 m/s2. What is the magnitude of its total acceleration at this instant? 

  1. 3 m/s2 
  2. 5 m/s2 
  3. 4 m/s2 
  4. 7 m/s2 
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QUESTION
If a particle moving in a circular path of radius 5 m and a velocity is expressed as v = 4t2 m/s. What is the magnitude of its total acceleration at t =1s? 

  1. 8 m/s2 
  2. 8.62 m/s2 
  3. 3.2 m/s2 
  4. 11.2 m/s2 
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QUESTION
Magnitude of the normal component of acceleration is 

  1. Directly proportional to radius of curvature 
  2. Inversely proportional to radius of curvature 
  3. Negative 
  4. Zero at constant velocity 
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QUESTION
The direction of the tangential component of acceleration and velocity are always 

  1. Perpendicular to each other 
  2. In opposite direction 
  3. Collinear 
  4. In same direction 
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QUESTION
In polar coordinate system the term dθ/dt is called 

  1. Angular velocity 
  2. Transverse component of velocity 
  3. Radial component of velocity 
  4. Tangential component of velocity 
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QUESTION
In polar coordinate system dr/dt is called 

  1. Angular velocity 
  2. Transverse component of velocity 
  3. Radial component of velocity 
  4. Tangential component of velocity 
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QUESTION
In polar coordinate system rdθ/dt is called 

  1. Angular velocity 
  2. Transverse component of velocity 
  3. Radial component of velocity 
  4. Tangential component of velocity 
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QUESTION
In polar coordinate system d2r/dt2 is called 

  1. Radial component of acceleration 
  2. Transverse component of acceleration 
  3. Angular acceleration 
  4. None of the above 
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QUESTION
In polar coordinate system d2θ/dt2 is called 

  1. Radial component of acceleration 
  2. Transverse component of acceleration 
  3. Angular acceleration 
  4. None of the above 
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QUESTION
In polar coordinate system d2r/dt2 + 2(dr/dt)(dθ/dt) is called 

  1. Radial component of acceleration 
  2. Transverse component of acceleration 
  3. Angular acceleration 
  4. None of the above 
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QUESTION
In polar coordinate system speed of particle is given by 

  1. rdθ/dt 
  2. 2(rdθ/dt) + r 
  3. None of the above 
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QUESTION
If dr/dt is zero for a particle, the particle is 

  1. Not moving 
  2. Moving in circular path 
  3. Moving in a straight line 
  4. Moving with constant velocity 
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QUESTION
If a particle is moving in a circular path with constant velocity , its radial acceleration is 

  1. Zero 
  2. -r(d2θ/dt2 ) 
  3. d2r/dt2 
  4. (dθ/dt) x (dr/dt) 
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QUESTION
The radial component of acceleration of particle moving in a curvilinear path is always 

  1. Negative 
  2. Perpendicular to the transverse component of acceleration 
  3. directed towards centre of path 
  4. All above 
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QUESTION
The radial component of velocity of a particle moving in a circular path is always 

  1. Zero 
  2. Greater than its transverse components 
  3. Constant 
  4. Less than its transverse components 
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QUESTION
In polar system 2(dr/dt) x (dθ/dt) is called 

  1. Corillus acceleration 
  2. Radial acceleration 
  3. Transverse acceleration 
  4. None of above 
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QUESTION
Normal component of acceleration is zero if 

  1. Path is circular 
  2. Velocity is constant 
  3. Path is rectilinear 
  4. None of above 
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QUESTION
Positive normal direction in case of path coordinate system is 

  1. Normal to tangential component 
  2. Always directed towards the centre of curvature 
  3. Normal to bi-normal component 
  4. All of above 
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QUESTION
When particle travels along a straight path, then radius of curvature is 

  1. Zero 
  2. Positive 
  3. Negative 
  4. Infinity 
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QUESTION
When particle travels along a circular path, then radius of curvature is 

  1. Diameter of circle 
  2. Circumference of circle 
  3. Area of circle 
  4. Radius of circle 
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QUESTION
Particle travels with a constant velocity of 6 m/s along the circle of radius 6 m, then its normal acceleration is 

  1. Zero 
  2. 4 m/s2 
  3. 6 m/s2 
  4. None of the above 
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QUESTION
An airplane making a turn at constant speed is experiencing 

  1. Tangential acceleration 
  2. Normal acceleration 
  3. Both acceleration 
  4. No acceleration 
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QUESTION
The car is traveling with 18 m/s at the top of the rise having radius of curvature 3 m. If its slow down by 5 m/s2 , determine the acceleration of the car. 

  1. 108 m/s2 
  2. 5 m/s2 
  3. 103 m/s2 
  4. 108.12 m/s2 
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QUESTION
A particle moving in a circular path of radius 5 m has a velocity function v = 4t2 m/s, its magnitude of total acceleration at t = 1s is 

  1. 8 m/s2 
  2. 3.2 m/s2 
  3. 8.62 m/s2 
  4. 11.2 m/s2 
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QUESTION
Space shuttle goes from rest to 348 m/s in first 12 s of its launch, it’s average acceleration is 

  1. 2.4 m/s2 
  2. 174 m/s2 
  3. 29 m/s2 
  4. 4176 m/s2 
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QUESTION
A particle is traversing a curved path of radius 500 m with a speed of 108 kmph, determine normal component of acceleration. 

  1. 2 m/s2 
  2. 2.5 m/s2 
  3. 1.8 m/s2 
  4. 1 m/s2 
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QUESTION
  The direction of normal component of acceleration for a particle on curved path is 

  1. Always directed towards the centre of curvature 
  2. Always away from centre of curvature 
  3. Depends on the problem 
  4. None of these 
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QUESTION
Tangential component of acceleration for a particle on curved path reflects 

  1. Speed of the particle 
  2. Direction of motion of particle 
  3. Change in direction of particle 
  4. Change in speed of particle 
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QUESTION
Normal component of acceleration for a particle on curved path represents 

  1. Speed of the particle 
  2. Direction of motion of particle 
  3. Change in speed of particle 
  4. Change in direction of motion of particle 
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QUESTION
At an inflection point on the curve, 

  1. av = 0 
  2. at = 0 
  3. an = 0 
  4. a = 0 
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QUESTION
A car starts from rest on a curve of radius 100 m and accelerates at constant tangential acceleration of 3 m/s2. Determine the time taken to reach the magnitude of total acceleration of 5 m/s2. 

  1. t = 5 s 
  2. t = 6.67 s 
  3. t = 3.5 s 
  4. t = 7.8 s 
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QUESTION
If a particle moves along a curve with a constant speed, then it’s tangential component of acceleration is 

  1. Positive 
  2. Negative 
  3. Zero 
  4. Constant 
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QUESTION
The magnitude of the normal component of acceleration is 

  1. Proportional to radius of curvature. 
  2. Inversely proportional to radius of curvature. 
  3. Sometimes negative. 
  4. Zero when velocity is constant. 
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QUESTION
The directions of the velocity and tangential component of acceleration are always 

  1. Perpendicular to each other. 
  2. Collinear. 
  3. In the same direction. 
  4. In opposite directions. 
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QUESTION
A particle traveling along a curved path, the normal component of acceleration is equal to 

  1. v/ ρ 
  2. v2/ρ 
  3. v x ρ 
  4. v/ρ2 
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QUESTION
A train enters a curved horizontal track at a speed of 108 kmph and slows down with constant deceleration to 72 kmph in 12 s. Calculate tangential component of acceleration. 

  1. (-0.633) m/s2 
  2. (+0.633) m/s2 
  3. (-0.833) m/s2 
  4. (+0.833) m/s2 
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QUESTION
Radius of curvature for a particle moving along a curve y = fcancel, is given by 

  1. [1+(dy/dx)2]3/2/(d2y/dx2) 
  2. [1-(dy/dx)2]3/2/(d2y/dx2) 
  3. [1+(dy/dx)3/2]2/(d2y/dx2) 
  4. [1+(dy/dx)2]3/2/(dy/dx) 
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QUESTION
A particle is traversing a curved path of radius 100 m with a speed of 72 kmph , determine normal component of acceleration. 

  1. 4 m/s2 
  2. 10 m/s2 
  3. (-6) m/s2 
  4. 1 m/s2 
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QUESTION
A rotor 25mm in diameter is spinning at 200 rps. Find normal component of acceleration of a point on rim. 

  1. 20000 m/s2 
  2. 19800 m/s2 
  3. 19739 m/s2 
  4. 19500 m/s2 
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QUESTION
A train starting from rest is moving along curved track with constant acceleration and attains a speed of 60 kmph in 3 minutes. Determine acceleration of the train 1 minute after leaving the station. The radius of curvature of the track is 800 m. 

  1. 0.1 m/s2 
  2. 0.11 m/s2 
  3. 0.22 m/s2 
  4. 0.2 m/s2 
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QUESTION
A train enters a curve of radius 100 m with a velocity of 20 m/s and accelerates uniformly to 30 m/s over a distance of 200 m. Determine the acceleration when the train has covered a distance of 100 m from the start of the curve. 

  1. 9.62 m/s2 
  2. 6.62 m/s2 
  3. 1.42 m/s2 
  4. 12.72 m/s2 
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QUESTION
A rotor 30 mm in diameter is spinning at 300 rps. Find normal component of acceleration of a point on rim. 

  1. 53295.8 m/s2 
  2. 19800 m/s2 
  3. 19700 m/s2 
  4. 19500 m/s2 
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QUESTION
. A particle P moves along a space curve and has a velocity v = 4i + 3j at a certain instant. At the same instant the total acceleration ‘a’ of the particle has a magnitude of 10 m/s2 and makes an angle of 300 with the velocity. Determine tangential component of acceleration. 

  1. 7.66 m/s2 
  2. 6.66 m/s2 
  3. 9.66 m/s2 
  4. 8.66 m/s2 
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QUESTION
A particle P moves along a space curve and has a velocity v = 4i + 3j at a certain instant. At the same instant the total acceleration ‘a’ of the particle has a magnitude of 10 m/s2 and makes an angle of 300 with the velocity. Determine normal component of acceleration. 

  1. 5 m/s2 
  2. 6 m/s2 
  3. 7 m/s2 
  4. 8 m/s2 
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QUESTION
. A golfer hits a golf ball with an initial velocity of 50 m/s at an angle of 250 with horizontal. Determine the radius of curvature of trajectory described by the ball at start of the trajectory. 

  1. 281.21 m 
  2. 292.21 m 
  3. 270.21m 
  4. 383.21 m 
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QUESTION
A golfer hits a golf ball with an initial velocity of 50 m/s at an angle of 250 with horizontal. Determine the radius of curvature of trajectory described by the ball at highest point of the trajectory. 

  1. 310.37 m 
  2. 209.37 m 
  3. 408.37m 
  4. 111.37 m 
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QUESTION
A train starts from rest on a track of radius 700 m. Its speed increases uniformly and after 5 minutes it is 40 m/s. Find total acceleration after 3 minutes. 

  1. 0.833 m/s2 
  2. 5.33 m/s2 
  3. 0.0833 m/s2 
  4. 0.0533 m/s2 
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QUESTION
A car is moving along a curve of radius 400 m at a constant speed of 72 kmph. The breaks are suddenly applied, causing speed to decrease at a constant rate of 1 m/s2. Determine total acceleration immediately after breaks are applied. 

  1. m/s2 
  2. m/s2 
  3. m/s2 
  4. m/s2 
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QUESTION
A particle is having velocity v = 4i +3j at any instant. At that instant the total acceleration is 10 m/s2 at 300 with velocity. Determine normal component of acceleration. 

  1. 5 m/s2 
  2. 10 m/s2 
  3. Zero m/s2 
  4. 15 m/s2 
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QUESTION
A particle is having velocity v = 4i +3j at any instant. At that instant the total acceleration is 10 m/s2 at 300 with velocity. Determine tangential component of acceleration. 

  1. 5 m/s2 
  2. 10 m/s2 
  3. 8.66 m/s2 
  4. 15.66 m/s2 
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QUESTION
A particle is having velocity v = 4i +3j at any instant. At that instant the total acceleration is 10 m/s2 at 300 with velocity. Determine radius of curvature. 

  1. 15 m 
  2. 10 m 
  3. 5 m 
  4. 8 m 
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QUESTION
A particle is traversing a curved path with a speed of 72 kmph , if the normal component of acceleration is 2 m/s2. Determine radius of curvature. 

  1. 200 m 
  2. 2000 m 
  3. 100 m 
  4. 300 m 
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QUESTION
A car starts from rest on a curve of radius 50 m and accelerates at constant tangential acceleration of 3 m/s2. Determine the time taken to reach the magnitude of total acceleration of 5 m/s2. 

  1. t = 10.71 s 
  2. t = 4.71 s 
  3. t = 1.71 s 
  4. t = 9.71 s 
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QUESTION
A train enters a curved horizontal track at a speed of 108 kmph and slows down with constant deceleration to 72 kmph in time ‘t’ seconds. If the tangential component of acceleration is -0.833m/s2, determine time ‘t’ in seconds. 

  1. 20 s 
  2. 2 s 
  3. 12 s 
  4. 11 s 
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QUESTION
A particle is traversing a curved path of radius 400 m with a speed of 108 kmph, determine normal component of acceleration. 

  1. 2.25 m/s2 
  2. 2.5 m/s2 
  3. 1.8 m/s2 
  4. 1 m/s2 
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QUESTION
A particle is traversing a curved path of radius 400 m with a speed of 72 kmph, determine normal component of acceleration. 

  1. 2 m/s2 
  2. 2.5 m/s2 
  3. 1.8 m/s2 
  4. 1 m/s2 
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QUESTION
A particle is traversing a curved path with a speed of 90 kmph. If the normal component of acceleration is 1 m/s2. Determine the radius of curvature 

  1. 200 m 
  2. 625 m 
  3. 300 m 
  4. 825 m 
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QUESTION
A particle is traversing a curved path with a speed of 72 kmph. If the normal component of acceleration is 2.5 m/s2. Determine the radius of curvature. 

  1. 200 m 
  2. 260m 
  3. 160 m 
  4. 525 m 
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QUESTION
A particle is traversing a curved path with a speed of 90 kmph. If the normal component of acceleration is 2.5 m/s2. Determine the radius of curvature 

  1. 250 m 
  2. 625 m 
  3. 300m 
  4. 850 m 
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QUESTION
A golfer hits a golf ball with an initial velocity of 40 m/s at an angle of 300 with horizontal. Determine the radius of curvature of trajectory described by the ball at start of the trajectory. 

  1. 188 m 
  2. 178 m 
  3. 198 m 
  4. 168 m 
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QUESTION
A golfer hits a golf ball with an initial velocity of 50 m/s at an angle of 300 with horizontal. Determine the radius of curvature of trajectory described by the ball at highest point of the trajectory. 

  1. 336 m 
  2. 326 m 
  3. 316 m 
  4. 306 m 
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QUESTION
A golfer hits a golf ball with an initial velocity of 60 m/s at an angle of 450 with horizontal. Determine the radius of curvature of trajectory described by the ball at start of the trajectory. 

  1. 719 m 
  2. 619 m 
  3. 519 m 
  4. 419 m 
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QUESTION
A golfer hits a golf ball with an initial velocity of 60 m/s at an angle of 450 with horizontal. Determine the radius of curvature of trajectory described by the ball at highest point of the trajectory. 

  1. 719 m 
  2. 619 m 
  3. 183.48 
  4. 419 m 
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QUESTION
A rotor 30mm in diameter is spinning at 300 rps. Find normal component of acceleration of a point on rim. 

  1. 53295.8 m/s2 
  2. 19800 m/s2 
  3. 19700 m/s2 
  4. 19500 m/s2 
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QUESTION
A train enters a curved horizontal track at a speed of 90 kmph and slows down with constant deceleration to 72 kmph in 10 s. Calculate tangential component of acceleration. 

  1. (- 0.5) m/s2 
  2. (+ 0.5) m/s2 
  3. (- 0.833) m/s2 
  4. (+ 0.833) m/s2 
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QUESTION
A train enters a curved horizontal track at a speed of 72 kmph and accelerates uniformly to 90 kmph in 10 s. Calculate tangential component of acceleration. 

  1. (- 0.5) m/s2 
  2. (+ 0.5) m/s2 
  3. (- 0.833) m/s2 
  4. (+ 0.833) m/s2 
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QUESTION
A train enters a curved horizontal track at a speed of 72 kmph and accelerates uniformly to 108 kmph in 12 s. Calculate tangential component of acceleration. 

  1. (- 0.5) m/s2 
  2. (+ 0.5) m/s2 
  3. (- 0.833) m/s2 
  4. (+ 0.833) m/s2 
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QUESTION
In projectile motion, the radius of curvature at point of projection is 

  1. Zero 
  2. Minimum 
  3. Maximum 
  4. None of the above 
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QUESTION
In projectile motion, the radius of curvature at point of maximum height is 

  1. Zero 
  2. Minimum 
  3. Maximum 
  4. None of the above 
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QUESTION
In projectile motion, the radius of curvature at point of landing is 

  1. Zero 
  2. Minimum 
  3. Maximum 
  4. None of the above 
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QUESTION
In projectile motion, the radius of curvature from the point of landing to the point of maximum height is 

  1. Increases 
  2. Decreases 
  3. Constant 
  4. Constant 
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QUESTION
In projectile motion, the radius of curvature from the point maximum height to the landing is 

  1. Increases 
  2. Decreases 
  3. Constant 
  4. Constant 
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QUESTION
A truck is traveling along the horizontal circular curve of radius 60 m with constant speed v = 20 m/s, find the angular velocity. 

  1. 3 rad/s 
  2. 0.33 rad/s 
  3. 1200 rad/s 
  4. none 
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QUESTION
A shell is fired from a gun barrel with a certain velocity will have maximum range if it fired with what angle with the horizontal plane. 

  1.   00 
  2.       300 
  3.     450 
  4.   900 
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QUESTION
A projectile is projected with a certain velocity at an angle θ with the horizontal plane. The horizontal distance traveled by the projectile is proportional to 

  1. sin θ 
  2. sin 3θ 
  3. sin 2θ 
  4.    sin2 θ 
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QUESTION
A projectile is projected with a certain velocity at an angle θ with the horizontal plane. The maximum height of a flight of the projectile is proportional to 

  1.      sin θ 
  2. sin3 θ 
  3. sin2 θ 
  4.       sin2 θ 
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QUESTION
A shot is fired from a gun with muzzle velocity of 200 m/s and the angle of projection is 360, determine the greatest height achieved. 

  1. 704.4 m 
  2. 804.4 m 
  3.      904.4 m 
  4.       712 m 
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QUESTION
The maximum horizontal range a shell fires from a gun is observed to be 1 km. Determine the firing angle to be used to hit the target 0.75 km on the same level. 

  1.       24.30 
  2.       19.18 
  3.    36 
  4.       49 
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QUESTION
A shell is fired with a velocity of 200 m/s at an angle of 450 with horizontal. Find the total time of flight. 

  1. 31.86 s 
  2. 28.83 s 
  3. 42 s 
  4. 38.83 s 
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QUESTION
A man standing on an open truck moving at a constant speed throws a ball vertically upwards. The ball will fall 

  1. Behind the truck 
  2. Ahead of truck 
  3. Into his hands 
  4. On to the truck but not in his hands 
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QUESTION
A man standing at the rear end of an open truck moving with uniform acceleration throws a ball vertically upwards. The ball will fall 

  1. Behind the truck 
  2. Ahead of truck 
  3. Into his hands 
  4. On to the truck but not in his hands 
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QUESTION
A man standing at the rear end of an open truck moving with uniform retardation throws a ball vertically upwards. The ball will fall 

  1. Behind the truck 
  2. Ahead of truck 
  3. Into his hands 
  4. On to the truck but not in his hands 
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QUESTION
A missile is fired so as to reach maximum range (R) then maximum height reached by projectile is 

  1. 0.5 R 
  2. 0.75 R 
  3. 0.25 R 
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QUESTION
State which of following statements is correct, when a ball is at the highest point of projectile motion, 

  1. Its acceleration is zero 
  2. Its velocity is zero 
  3. Its velocity is directed downward 
  4. Its velocity is directed forward 
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QUESTION
A missile fired at an angle β to horizontal what should be the other angle of projection to hit the same target 

  1. 2 β 
  2. 90+ β 
  3. 90- β 
  4. 45+ β 
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QUESTION
Maximum range of projectile is obtained when angle of projection is ----- degree 

  1. 90 
  2. 45 
  3. 30 
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QUESTION
When a particle is projected from the top of a building strikes the ground away from the building then its horizontal distance is 

  1. Same as range 
  2. Greater than range 
  3. Less than range 
  4. Zero 
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QUESTION
In projectile motion component of acceleration along horizontal direction is 

  1. Constant 
  2. Variable 
  3. Zero 
  4. None of these 
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QUESTION
Maximum height reached by a ball thrown with an initial velocity u at an angle β to the horizontal is 

  1. (u2sin2 β)/g 
  2. (u2sin2 β)/g 
  3. (u2sin2 β)/2g 
  4. (u2sin2 β)/2g 
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QUESTION
Horizontal range of a ball thrown with an initial velocity u at an angle β to the horizontal is 

  1. (u2sin2 β)/g 
  2. (u2sin2 β)/g 
  3. (u2sin2 β)/2g 
  4. (u2sin2 β)/2g 
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QUESTION
Three identical balls are thrown from the top of a building with the same initial speed. Initially ball 1 moves horizontally, ball 2 moves upward and ball 3 moves downward. Neglecting air resistance, which ball has the fastest speed when it hits the ground 

  1. Ball 1 
  2. Ball 2 
  3. Ball 3 
  4. All ball have same speed 
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QUESTION
A stone is just released from the window of a train moving along a horizontal straight track. The stone will move in 

  1. Straight downward 
  2. Straight horizontally 
  3. Hyperbolic path 
  4. Parabolic path 
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QUESTION
In a projectile motion which of following remains constant 

  1. Speed 
  2. x component of velocity 
  3. y component of velocity 
  4. None of above 
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QUESTION
At the highest point of projectile motion, velocity and acceleration are --- 

  1. Parallel to each other 
  2. Inclined 
  3. Perpendicular to each other 
  4. None of above 
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QUESTION
Angle of projection for which horizontal range and maximum height are equal is 

  1. 45 0 
  2. tan-1(4) 
  3. tan-1(1/4) 
  4. tan-1(2) 
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QUESTION
A ball is projected with a velocity of 20 m/s at an angle θ to horizontal. In order to have the maximum range, its velocity at the highest point must be 

  1. 10 m/s 
  2. 14.14 m/s 
  3. 28 m/s 
  4. Zero 
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QUESTION
Two bodies are thrown with the same initial velocity at an angle θ and (90- θ) respectively with the horizontal, then their ratios of maximum heights 

  1. 0.0423611111111111 
  2. sin θ: cos θ 
  3. sin 2θ : cos 2θ 
  4. cos θ : sin θ 
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QUESTION
A particle is projected horizontally at 36 m/s from a point 122.5 m above a horizontal surface , the time taken by the particle to reach the surface of ground is 

  1. 2 s 
  2. 5 s 
  3. 3 s 
  4. 4.3 s 
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QUESTION
A particle is projected horizontally at 36m/s from a point 122.5m above a horizontal surface , the horizontal distance traveled by particle when it reach the surface of ground 

  1. 100 m 
  2. 200 m 
  3. 180 m 
  4. 360 m 
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QUESTION
A particle is projected from an origin O with a velocity of (30i + 40j) m/s. the velocity of particle after 5 s is (take g = 10m/s) 

  1. 30j + 40i 
  2. 30i - 40j 
  3. 30i -10j 
  4. 10i + 30j 
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QUESTION
Maximum range of projectile projected on horizontal ground is given by 

  1. u2/2g 
  2. u2sin α /2g 
  3. u2/g 
  4. u2sin α /g 
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QUESTION
If a bullet is fired at an angle of 45 0 upwards with the horizontal, the horizontal range of bullet is equal to ----------- times the maximum height attained. 

  1. Two 
  2. Three 
  3. Four 
  4. Eight 
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QUESTION
If two projectiles are fired with equal velocities but one with 30 0 and other with 60 0 with horizontal, then both will have 

  1. Same time of flight 
  2. Equal horizontal range 
  3. Equal horizontal range and same maximum height 
  4. Same maximum height 
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QUESTION
The horizontal range of projectile and maximum height reached by projectile is equal if angle of projection is 

  1.  
  2.  
  3.  
  4. 45 0 
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QUESTION
A projectile is projected with a velocity 10 m/s at an angle 30 0 with horizontal to attain maximum range, its velocity at the highest position must be 

  1. 5 m/s 
  2. Zero 
  3. 8.66 m/s 
  4. None of these 
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QUESTION
If the projectile is projected at an angle of ---------, then the maximum height reached and range of projectile are equal. 

  1. 45 0 
  2. 63.43 0 
  3. 90 0 
  4. 75.96 0 
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QUESTION
The range of projectile on a downward inclined plane is --------- the range on upward inclined plane for the same velocity of projection and angle of projection. 

  1. Less than 
  2. Equal to 
  3. More than 
  4. None of these 
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QUESTION
The horizontal range of a projectile is maximum when the angle of projection is 

  1. 45 0 
  2. 30 0 
  3. 90 0 
  4. 60 0 
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QUESTION
A missile fired at an angle α to the horizontal hits a target. What should be the other angle of projection to hit the same target, when initial velocity remains same? 

  1. 2 α 
  2. 90 + α 
  3. 90 - α 
  4. 45 + α 
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QUESTION
A missile is fired so as to reach maximum range then the maximum height reached is 

  1. Same as range 
  2. Three-forth of range 
  3. Half of range 
  4. One-forth of range 
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QUESTION
For a given velocity and horizontal range, the possible angle of projection are 

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QUESTION
A ball is thrown horizontally with a velocity of 100 m/s from top of the building 300 m high. The time taken by ball to reach ground is 

  1. 7.8 s 
  2. 8.7 s 
  3. 3 s 
  4. 9 s 
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QUESTION
Co-ordinate of the projection of a ball are (0, 0) and the maximum height is (5 m, 5 m) and the time to reach the maximum height is 5 s. Determine the initial velocity. 

  1. 25.25 m/s 
  2. 26.26 m/s 
  3. 30.30 m/s 
  4. 22.22 m/s 
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QUESTION
A ball is projected at such an angle that the horizontal range is 4 times the maximum height. Find the angle of projection. 

  1. 0 degree 
  2. 30 degree 
  3. 45 degree 
  4. 90 degree 
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QUESTION
A boy throws two stones in the sky one after another. He throws the first stone vertically upward which takes t s to come back to the ground. He throws the sond stone with the same velocity as that of earlier but the angle of projection of 600. The time taken by the sond stone to reach the ground shall be 

  1. Less than t 
  2. More than t 
  3. Same as t 
  4. None of the above 
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QUESTION
A ball thrown at 450 with horizontal so as to clear fence 3 m high above the ground and 20 m away from the point. If the point of throw is 1 m above the ground find the initial velocity of the throw. 

  1. 15.76 m/s 
  2. 16.76 m/s 
  3. 14.76 m / s 
  4. None of these 
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QUESTION
If the initial velocity is increased the by 20% calculate the percentage increase in the maximum range of projectile. 

  1. 0.1 
  2. 0.44 
  3. 0.5 
  4. 0.2 
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QUESTION
A projectile is fired with a velocity 75 m/s at an angle of 600 to the horizontal. Determine the velocity of projectile after 0.5 s. 

  1. 80.00 m/s 
  2. 70.79 m /s 
  3. 79.10 m/s 
  4. 22.22 m/s 
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QUESTION
A ball is projected from an inclined plane at an angle of 300 with horizontal in the downward direction with a velocity of 10 m/s perpendicular to the plane. If the ball strikes the ground find the maximum range along the plane. 

  1. 13.59 m 
  2. 59.13 m 
  3. 13.95 m 
  4. 95.13 m 
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QUESTION
A rocket moves along a curved path with linear velocity of 600 m/s and it is observed that the rocket experiences an acceleration of 10 g in a direction normal to the path. Find the radius of curved path 

  1. 6377 m 
  2.   7746 m 
  3.       3669.7 m 
  4.     3333 m 
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QUESTION
An inclined plane has a rise of 5 in 12. A shot is projected with a velocity 250 m/s at an elevation of 300. Find the range of the plane if the shot is fired up the plane. 

  1. 6665 m 
  2. 1555 m 
  3. 1665 m 
  4. 1228 m 
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QUESTION
An inclined plane has a rise of 5 in 12. A shot is projected with a velocity 250m/s at an elevation of 300. Find the range of the plane if the shot is fired down the plane. 

  1. 10300 m 
  2. -10300 m 
  3. 10800 m 
  4. – 10800 m 
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QUESTION
A stone is projected in a vertical plane from the ground with a velocity of 5 m/s at an elevation of 600. With what velocity must another stone be projected at an elevation of 450 m in order to have the same horizontal range? 

  1. 4.55 m/s 
  2. 3.65 m/s 
  3. 4.65 m/s 
  4. 6.65 m/s 
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QUESTION
A stone is projected in a vertical plane from the ground with a velocity of 5 m/s at an elevation of 600. With what velocity must another stone be projected at an elevation of 450 m in order to attend the same maximum height? 

  1. 6.215 m/s 
  2. 6.665 m/s 
  3. 5.666 m/s 
  4. 2.625 m/s 
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QUESTION
The velocity of particle in projectile motion at top of its path is equal to 

  1. Zero 
  2. Initial velocity of projection 
  3. Vertical component of initial velocity of projection 
  4. Horizontal component of initial velocity of projection. 
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QUESTION
For maximum horizontal range in a projectile motion the angle of projection is -- degree 

  1. 90 
  2. 60 
  3. 45 
  4. 30 
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QUESTION
In projectile motion, the equation of trajectory is 

  1. Linear 
  2. Parabolic 
  3. Cubic parabolic 
  4. None of these 
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QUESTION
In projectile motion, path followed by the particle is known as 

  1. Flight 
  2. Trajectory 
  3. a and b 
  4. None of these 
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QUESTION
In projectile motion, at the highest point the direction of velocity is 

  1. Upward 
  2. Downward 
  3. Tangential to path 
  4. Tangential to path 
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QUESTION
In projectile motion, the radius of curvature is maximum at the point of 

  1. Projection 
  2. Landing 
  3. Highest point 
  4. a and b 
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QUESTION
In projectile motion, the radius of curvature is minimum at the point of 

  1. Projection 
  2. Landing 
  3. Highest point 
  4. a and b 
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QUESTION
In projectile motion, the radius of curvature is increases from 

  1. Point of maximum height to point of landing 
  2. Point of maximum height to point of projection 
  3. Point of projection to point of maximum height 
  4. a and b 
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QUESTION
In projectile motion, the radius of curvature is decreases from 

  1. Point of maximum height to point of landing 
  2. Point of maximum height to point of projection 
  3. Point of projection to point of maximum height 
  4. a and b 
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QUESTION
In projectile motion acceleration along horizontal direction is 

  1. Constant 
  2. Uniform 
  3. Zero 
  4. None of these 
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QUESTION
In projectile motion velocity along horizontal direction is 

  1. Constant 
  2. Uniform 
  3. Zero 
  4. a and b 
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QUESTION
In projectile motion acceleration along vertical direction is 

  1. Constant 
  2. Uniform 
  3. Zero 
  4. a and b 
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QUESTION
Motion of projectile along verticle direction under 

  1. Uniform acceleration 
  2. Constant acceleration 
  3. Gravitional acceleration 
  4. Variable acceleration 
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QUESTION
A projectile is projected with an initial velocity of 40 m/s at an angle of 60 degree, the horizontal component of velocity is 

  1. 20 m/s 
  2. 34.64 m/s 
  3. 25 m/s 
  4. None of these 
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QUESTION
A projectile is projected with an initial velocity of 40 m/s at an angle of 60 degree, the Vertical component of velocity is 

  1. 20 m/s 
  2. 34.64 m/s 
  3. 15.02 m/s 
  4. None of these 
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QUESTION
A projectile is projected with an initial velocity of 40 m/s at an angle of 60 degree, determint required time totravel 40 m along x-direction 

  1. 1 s 
  2. 0.2 s 
  3. 2 s 
  4. None of these 
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QUESTION
A projectile is projected with an initial velocity of 40 m/s at an angle of 60 degree, determine the velocity at t = 2 s. 

  1. 20 m/s 
  2. 25 m/s 
  3. 15 m/s 
  4. None of these 
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QUESTION
Determine the minimum possible velocity of projection for a maximum horizontal range of 12 km. 

  1. 343.1 m/s 
  2. 1223.24 m/s 
  3. 117 km/s 
  4. None of these 
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QUESTION
Determine the angle of projection when the missile projected with velocity of projectin 343.1 m/s and cover horizontal range of 12 km. 

  1. 30 degree 
  2. 60 degree 
  3. 45 degree 
  4. 90 degree 
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QUESTION
In projectile motion the velocity is always ----- . 

  1. Vertical 
  2. Horizontal 
  3. Tangential to path of particle 
  4. Normal to path of particle 
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QUESTION
In projectile motion, the direction of acceleration along y-axis is 

  1. Upward 
  2. Downward 
  3. a and b 
  4. None of these 
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QUESTION
In projectile motion, the direction of acceleration along x-axis is 

  1. Leftward 
  2. Rightward 
  3. a and b 
  4. None of these 
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QUESTION
In projectile motion, the magnitude of acceleration along y-axis is 

  1. (-9.81) m/s2 
  2. 9.81 m/s2 
  3. a and b 
  4. None of these 
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QUESTION
In projectile motion, the magnitude of acceleration along x-axis is 

  1. (-9.81) m/s2 
  2. 9.81 m/s2 
  3. Zero 
  4. None of these 
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QUESTION
A body of mass 0.5 kg moves with a constant speed of 4 m/s around a horizontal circle of radius 1m. Determine the magnitude of horizontal force acting on body towards the centre of circle is 

  1. 2 N 
  2. 4 N 
  3. 6 N 
  4. 8 N 
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QUESTION
A body of mass 1 kg moves with a constant speed of 4 m/s around a horizontal circle of radius 4 m. Determine the magnitude of horizontal force acting on body towards the centre of circle is 

  1. 2 N 
  2. 4 N 
  3. 6 N 
  4. 8 N 
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QUESTION
A body of mass 100 gm moves with constant angular speed around a circle of radius 0.50 m in horizontal plane. If the body completes 50 revolution in 3 minutes, the magnitude of horizontal force acting on the body towards the centre of circle is 

  1. 0.125 N 
  2. 0.152 N 
  3. 0.345 N 
  4. 0.654 N 
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QUESTION
A body of mass 1 kg moves with constant angular speed around a circle of radius 0.50 m in horizontal plane. If the body completes 50 revolution in 3 minutes, the magnitude of horizontal force acting on the body towards the centre of circle is 

  1. 1.25 N 
  2. 1.52 N 
  3. 3.45 N 
  4. 6.54 N 
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QUESTION
A body is placed on a horizontal disc at a point which is 0.15 m from the centre of disc when the disc rotates at 30 rev/min, the body is just on the point of slipping. The coefficient of friction between the body and disc surface is 

  1. 0.151 
  2. 0.156 
  3. 0.511 
  4. 0.345 
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QUESTION
A body is placed on a horizontal disc at a point which is 0.1 m from the centre of disc when the disc rotates at 60 rev/min, the body is just on the point of slipping. The coefficient of friction between the body and disc surface is 

  1. 0.1 
  2. 0.2 
  3. 0.3 
  4. 0.4 
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QUESTION
A small ball of mass 5 kg is made to revolve in a horizontal circle, (length of cord attached to ball is 2 m) knowing that maximum tension in cord is 100 N, determine the angle made by cord with vertical at ball velocity of 5 m/s. 

  1. 40.14 degree 
  2. 60.6 degree 
  3. 66 degree 
  4. 54.3degree 
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QUESTION
A small ball of mass 10 kg is made to revolve in a horizontal circle, (length of cord attached to ball is 2 m) knowing that maximum tension in cord is 200 N, determine the angle made by cord with vertical at ball velocity of 5 m/s. 

  1. 69.6 degree 
  2. 60.6 degree 
  3. 66 degree 
  4. 40.14 degree 
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QUESTION
Newton’s sond law can be written as mathematically, ∑ Fn = man, within the summation of forces ∑F------ are (is) included. 

  1. External forces 
  2. Weight 
  3. Internal force 
  4. All of above 
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QUESTION
∑Fn = man, equation of motion along 

  1. Tangential direction 
  2. Radial direction 
  3. Transverse direction 
  4. Normal direction 
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QUESTION
Equation of motion in normal direction is written as ∑Fn = man, where ∑Fn is referred to as the ------ 

  1. Impulse 
  2. Normal force 
  3. Tangential force 
  4. Inertial force 
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QUESTION
Equation of motion in normal direction is written as ∑Fn = man, where an is referred as 

  1. Tangential component of acceleration 
  2. Transverse component of acceleration 
  3. Total acceleration 
  4. Normal component of acceleration 
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QUESTION
In path coordinate, frictional force always acts along 

  1. Normal direction 
  2. Tangential direction 
  3. a and b 
  4. None of above 
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QUESTION
When a car moves over a hump, the pressure exerted by the wheels on the road is 

  1. Same as that on the level road 
  2. Greater than that on the level road 
  3. Less than that on the level road 
  4. Zero 
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QUESTION
When a car moves over a trough, the pressure exerted by the wheels on the road is 

  1. Same as that on the level road 
  2. Greater than that on the level road 
  3. Less than that on the level road 
  4. Zero 
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QUESTION
When a stone tied to one end of a string is whirled in a verticle circle, the tension in a string is maximum at 

  1. The lowest point 
  2. The highest point 
  3. The mid point 
  4. 45 degree to verticle 
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QUESTION
When a stone tied to one end of a string is whirled in a verticle circle, the tension in a string is minimum at 

  1. The lowest point 
  2. The highest point 
  3. The mid point 
  4. 45 degree to verticle 
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QUESTION
The equation of motion along normal direction is 

  1. ∑Fn = man 
  2. ∑Fn = mv2/ρ 
  3. Both a and b 
  4. None of these 
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QUESTION
The equation of motion along tangential direction is 

  1. ∑Ft = mat 
  2. ∑Ft = mdv/dt 
  3. ∑Ft = mvdv/ρds 
  4. a, b and c 
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QUESTION
∑Ft = mvdv/ρds, equation of motion along 

  1. Normal direction 
  2. Tangential direction 
  3. Both a and b 
  4. None of these 
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QUESTION
∑Ft = mdv/dt, equation of motion along 

  1. Normal direction 
  2. Tangential direction 
  3. Both a and b 
  4. None of these 
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QUESTION
∑Fn = mv2/ρ, equation of motion along 

  1. Normal direction 
  2. Tangential direction 
  3. Both a and b 
  4. None of these 
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QUESTION
The driver of a car traveling along a straight level road suddenly apply a breaks so that the car moved with constant deceleration of 4.905 m/s2. Find the coefficient friction between the tyres and road. 

  1. 0.25 
  2. 0.5 
  3. 0.75 
  4. None of these 
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QUESTION
During the journey, a 250 kg car traveling at speed of 9.81 m/s just loose the contact with the road as it reaches the crest of the hill, determine the radius of curvature. 

  1. 1 m 
  2. 9.81 m 
  3. 4.905 m 
  4. None of these 
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QUESTION
A small block slides along the cylindrical surface, the normal reaction exerted by the surface on the block at which it will leave the cylindrical surface is 

  1. Minimum 
  2. Maximum 
  3. Zero 
  4. None of these 
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QUESTION
The driver of a car traveling along a straight level road suddenly apply a breaks so that the car moved with constant deceleration of 2.453 m/s2. Find the coefficient friction between the tyres and road. 

  1. 0.25 
  2. 0.5 
  3. 0.75 
  4. None of these 
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QUESTION
The driver of a car traveling along a straight level road suddenly apply a breaks so that the car moved with constant deceleration of 1.00 m/s2. Find the coefficient friction between the tyres and road. 

  1. 1.02 
  2. 2.01 
  3. 0.12 
  4. None of these 
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QUESTION
During the journey, a 250 kg car traveling at speed of 10 m/s just loose the contact with the road as it reaches the crest of the hill, determine the radius of curvature. 

  1. 9.81 m 
  2. 10.2 m 
  3. 98.1 
  4. None of these 
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QUESTION
A 600 kg wreeking ball is attached to a cable of length 12 m and negligible mass. The velocity of the ball is 8 m/s when the cable is vertical. Determine the tension in the cable if the ball swing in the vertical plane. 

  1. 9810 N 
  2. 9806 N 
  3. 2686 N 
  4. None of these 
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QUESTION
A 600 kg wreeking ball is attached to a cable of length 12 m and negligible mass. If the tension in the cable 9810 N when the ball swing in the vertical plane. Determine the velocity of the ball for vertical position of cable. 

  1. 9.81 m/s 
  2. 8.86 m/s 
  3. 30.94 m/s 
  4. None of these 
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QUESTION
The pendulum bob has a mass m and is released from rest when θ = 0 with horizontal. Determine the tension in the cord as a function of angle of descent θ 

  1. 3 mg cos θ 
  2. 2 mg sin θ 
  3. 3 mg sin θ 
  4. 2 mg cos θ 
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QUESTION
The pendulum bob has a mass m and is released from rest when θ = 0 with horizontal. If the length of cord is l, then the velocity of the bob as a function of angle of descent θ is given by 

  1. v2 = 2gl sin θ 
  2. v2 = 3gl sin θ 
  3. v2 = 4gl sin θ 
  4. v2 = 2gl cos θ 
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QUESTION
The pendulum bob has a mass 10 kg and is released from rest when θ = 0 with horizontal. Determine the tension in the cord at θ = 30 degree. 

  1. 147.15 N 
  2. 98.1 N 
  3. 254.87 N 
  4. None of these 
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QUESTION
The pendulum bob has a mass 10 kg and is released from rest when θ = 0 with horizontal. If the length of cord is 1 m, determine the velocity of the bob at θ = 30 degree. 

  1. 9.81 m/s 
  2. 3.13 m/s 
  3. 3.84 m/s 
  4. None of these 
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QUESTION
It is observed that the passengers on the amusement park ride moving with constant speed and the supporting cable are directed at 30 degree from the vertical. Each chair including its passenger has a mass of 80 kg and radius of curvature is 7 m, determine the tension in the supporting cable 

  1. 784.8 N 
  2. 906.2 N 
  3. 679.66 N 
  4. None of these 
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QUESTION
It is observed that the passengers on the amusement park ride moving with constant speed and the supporting cable are directed at 30 degree from the vertical. If the tension in supporting cable is 900 N and radius of curvature is 7 m, determine mass of each chair including its passenger. 

  1. 79.45 kg 
  2. 105.94 kg 
  3. 100 kg 
  4. None of these 
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QUESTION
A girl having mass of 25 kg sits on the merry go round at a distance of 1.5 m from the centre of rotation. Determine the maximum constant speed at which she slip off the merry go round if the coefficient of static friction is 0.3. 

  1. 2.1 m/s 
  2. 3.84 m/s 
  3. 4.41 m/s 
  4. None of these 
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QUESTION
A girl having mass of 50 kg sits on the merry go round at a distance of 1.5 m from the centre of rotation. Determine the maximum constant speed at which she slip off the merry go round if the coefficient of static friction is 0.3. 

  1. 3.84 m/s 
  2. 2.1 m/s 
  3. 4.41 m/s 
  4. None of these 
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QUESTION
A girl having mass of 50 kg sits on the merry go round at a distance of 1.5 m from the centre of rotation. Determine the coefficient of static friction if maximum constant speed is 3 m/s at which she slip off the merry go round. 

  1. 0.612 
  2. 0.989 
  3. 0.491 
  4. None of these 
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QUESTION
A girl having mass of 50 kg sits on the merry go round at a radial distance r from the centre of rotation. Determine radial distance r if the coefficient of static friction is 0.3 and the maximum constant speed is 3 m/s at which she slip off the merry go round. 

  1. 2.94 m/s 
  2. 3.06 m 
  3. 2.7 m 
  4. None of these 
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QUESTION
The man has a mass of 80 kg and sits at 3 m from the centre of the rotating platform. Determine the maximum velocity at which he can slip from the rotating platform if the coefficient of static friction between contact surface is 0.3. 

  1. 5.42 m/s 
  2. 1.76 m/s 
  3. 2.97 m/s 
  4. None of these 
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QUESTION
The man has a mass of 80 kg and sits at r from the centre of the rotating platform. The maximum velocity at which he can slip from the rotating platform is 2.97 m/s and the coefficient of static friction between contact surface is 0.3. Determine the distance r. 

  1. 9.8 m 
  2. 2.94 m 
  3. 0.9 m 
  4. 3 m 
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QUESTION
When a car of mass m moves with velocity v over a hump of radius of curvature ρ , the normal reaction exerted by the wheels on the road is 

  1. N = mv2/ρ - mg 
  2. N = mv2/ρ + mg 
  3. N = mv2 + mg 
  4. None of these 
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QUESTION
When a car of mass m moves with velocity v over a trough of radius of curvature ρ , the normal reaction exerted by the wheels on the road is 

  1. N = mv2/ρ - mg 
  2. N = mv2/ρ + mg 
  3. N = mv2 + mg 
  4. None of these 
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QUESTION
During the high speed chase, a 1100 kg car traveling at a speed of 160 km/h just loses contact with the road as it reaches the crest of the hill, determine the radius of curvature of the vertical profile of the road 

  1. 201.32 m 
  2. 2609.6 m 
  3. 16.31 m 
  4. None of these 
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QUESTION
During the high speed chase, a 1000 kg car traveling at a speed of 60 m/s just loses contact with the road as it reaches the crest of the hill, determine the radius of curvature of the vertical profile of the road 

  1. 6.12 m 
  2. 588.6 m 
  3. 366.97 m 
  4. None of these 
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QUESTION
If the pendulum is released from rest in its unstable vertical equilibrium position, determine the magnitude force in the rod at which the axial force in the rod changes from compression to tension. 

  1. More than weight of pendulum 
  2. Less than weight of pendulum 
  3. Zero 
  4. None of these 
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QUESTION
The 25 kg girl is in the lowest position in a swing in a vertical plane. The effective length from mass centre to the fixed support for the rope is 4 m and the velocity of the girl mass centre is 5 m/s, determine the tension in the rope. 

  1. 401.5 N 
  2. 89 N 
  3. 276.5 N 
  4. None of these 
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QUESTION
The 50 kg girl is in the lowest position in a swing in a vertical plane. The effective length from mass centre to the fixed support for the rope is 10 m and the velocity of the girl mass centre is 10 m/s, determine the tension in the rope. 

  1. 540.5 N 
  2. 990.5 N 
  3. 9.5 N 
  4. None of these 
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QUESTION
The 50 kg girl is in the lowest position in a swing in a vertical plane. The effective length from mass centre to the fixed support for the rope is 10 m. Determine the velocity of the girl mass centre if tension in the rope is 990.5 N. 

  1. 100 m/s 
  2. 17.21 m/s 
  3. 10 m/s 
  4. None of these 
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QUESTION
The girl of mass m is in the lowest position in a swing in a vertical plane. The effective length from mass centre to the fixed support for the rope is 10 m and the velocity of the girl mass centre is 10 m/s, determine the mass of girl if tension in the rope is 990.5 N. 

  1. 50 kg 
  2. 40 kg 
  3. 60 kg 
  4. None of these 
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QUESTION
A bob of 1 m pendulum describe an arc of a circle in a vertical plane. When the angle of the cord is 300 with the vertical, the tension in the cord is two times the weight of the bob. Find the velocity of the in this position. 

  1. 3.132 m/s 
  2. 3.335 m/s 
  3. 3.365 m/s 
  4. None of these 
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QUESTION
A bob of 1 m pendulum describe an arc of a circle in a vertical plane. When the angle of the cord is 300 with the vertical, the tension in the cord is two times the weight of the bob. Find the tangential component of acceleration. 

  1. 9.81 m/s2 
  2. 4.905 m/s2 
  3. 19.62 m/s2 
  4. None of these 
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QUESTION
A bob of 1 m pendulum describe an arc of a circle in a vertical plane. When the angle of the cord is 300 with the vertical, the tension in the cord is 95 N. Find the mass of pendulum if its velocity at this instant is 1 m/s. 

  1. 5 kg 
  2. 100 kg 
  3. 10 kg 
  4. None of these 
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QUESTION
A pilot flies an airplane at a constant speed of 600 km/h in the vertical circle of radius 1000 m. Find the force exerted by the seat on 90 kg pilot at lowest point 

  1. 3382.9 N 
  2. 1617.2 N 
  3. 33282.9 N 
  4. None of these 
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QUESTION
A pilot flies an airplane at a constant speed of 600 km/h in the vertical circle of radius 1000 m. Find the force exerted by the seat on 90 kg pilot at highest point 

  1. 3382.9 N 
  2. 1617.2 N 
  3. 882.9 N 
  4. None of these 
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QUESTION
A small vehicle travel on the top of circular path in a vertical plane. Determine the magnitude of normal reaction at which the vechicle leave the circular path 

  1. Less than weight of vehicle 
  2. More than weight of vehicle 
  3. Zero 
  4. None of these 
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QUESTION
A 60 kg wreeking ball is attached to 15 m long steel cable and swing in a vertical arc. Determine the tension in the cable at the top of the swing when the cable at an angle of 20 degree with vertical. 

  1. 553.1 N 
  2. 588.6 N 
  3. 626.3 N 
  4. None of these 
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QUESTION
A 60 kg wreeking ball is attached to 15 m long steel cable and swing in a vertical arc. Determine the tension in the cable at the bottom where the speed of ball is 4.2 m/s. 

  1. 518 N 
  2. 588.6 N 
  3. 659.16 N 
  4. None of these 
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QUESTION
A 60 kg wreeking ball is attached to 15 m long steel cable and swing in a vertical arc. Determine the velocity of the ball at the bottom if the tension in the cable is 690 N. 

  1. 5.03 m/s 
  2. 25.35 m/s 
  3. 1.59 m/s 
  4. None of these 
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QUESTION
A small block of weight W rest on a horizontal turntable at a distance r from the axis of rotation. If the coefficient of static friction between contact surface is μ, determine the maximum speed at which the block will slip. 

  1. v2 = 2μgr 
  2. v2 = μgr 
  3. v2 = 3μgr 
  4. None of these 
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QUESTION
A small block of weight W rest on a horizontal turntable at a distance of 0.5 m from the axis of rotation. If the coefficient of static friction between contact surface is 0.3, determine the maximum speed at which the block will slip. 

  1. 1.72 m/s 
  2. 2.1 m/s 
  3. 1.21 m/s 
  4. None of these 
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QUESTION
In merry go round, the chairs are supported by cables, If the angular speed of merry go round is increases then chairs swings 

  1. Towards axis of rotation 
  2. Away from axis of rotation 
  3. Cable makes same angle with vertical 
  4. None of these 
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QUESTION
In merry go round, the chairs are supported by cables, If the angular speed of merry go round is decreases then chairs swings 

  1. Towards axis of rotation 
  2. Away from axis of rotation 
  3. Cable makes same angle with vertical 
  4. None of these 
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QUESTION
A particle moving with constant velocity along the circular path in a horizontal plane, the equation of kinetis is not applicable to solve the problem 

  1. ΣFn = man 
  2. ΣFt = mat 
  3. Both a and b 
  4. None of these 
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QUESTION
A particle moving with constant velocity along the circular path in a horizontal plane, the normal reaction exerted on a particle is given by the equation 

  1. ΣFb = 0 
  2. ΣFz = 0 
  3. Both a and b 
  4. None of these 
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QUESTION
When a car is moving at a curve, the driver bend his body 

  1. Toward the centre of curvature 
  2. Away from the centre of curvature 
  3. Both a and b 
  4. None of these 
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QUESTION
The equation of motion, in kinetics of curvilinear motion of particle are 

  1. ΣFn = man 
  2. ΣFt = mat 
  3. ΣFb = 0 
  4. All of these 
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QUESTION
The equation of motion, in kinetics of curvilinear motion of particle are 

  1. ΣFn = man 
  2. ΣFt = mat 
  3. ΣFz = 0 
  4. All of these 
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QUESTION
In merry go round, the chairs are supported by cables, If the merry go round rotating with constant angular velocity, the tangential component of acceleration is. 

  1. Positive 
  2. Negative 
  3. Zero 
  4. None of these 
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QUESTION
In merry go round, the chairs are supported by cables, If the merry go round rotating with constant angular velocity ω and radius of curvature is ρ , then the velocity is given by. 

  1. ρω 
  2. 2ρω 
  3. ρω/2 
  4. None of these 
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QUESTION
A motorcyclist in a circus rides his motorcycle within the confines of the hollow sphere. If the coefficient of static friction is 0.4, determine the minimum speed at which he must travel if he is to ride along the wall when θ = 90 degree. The mass of motor cycle with rider is 250 kg. 

  1. 12.13 m/s 
  2. 24.26 m/s 
  3. 6.06 m/s 
  4. None of these 
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QUESTION
A motorcyclist in a circus rides his motorcycle within the confines of the hollow sphere. If the coefficient of static friction is 0.4, determine the frictional force at which he must travel if he is to ride along the wall when θ = 90 degree. The mass of motor cycle with rider is 250 kg. 

  1. 2452.5 N 
  2. 981 N 
  3. 6131.25 N 
  4. None of these 
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QUESTION
A motorcyclist in a circus rides his motorcycle within the confines of the hollow sphere. If the coefficient of static friction is 0.4, determine the Normal reaction at which he must travel if he is to ride along the wall when θ = 90 degree. The mass of motor cycle with rider is 250 kg. 

  1. 2452.5 N 
  2. 981 N 
  3. 6131.25 N 
  4. None of these 
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QUESTION
If the pendulum is released from rest in its unstable vertical equilibrium position, determine the nature of force in the rod at which the axial force in the rod changes from compression to tension. 

  1. Compressive 
  2. Tensile 
  3. Null 
  4. None of these 
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References

  • Questions by Prof. AmitKumar Holi, SKNCOE, Pune
  • WikiNote Foundation 

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Created by Vishal E on 2019/02/15 15:54
    
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