Applied Mechanics and Graphic Statics

51. A particle moving with a simple harmonic motion, attains its maximum velocity when it passes

  1. The extreme point of the oscillation
  2. Through the mean position
  3. Through a point at half amplitude
  4. None of these

Correct answer: (B)
Through the mean position

52. A particle of mass 2 kg executes simple harmonic motion of frequency 6/71 Hz and amplitude 0.25 m. Its maximum kinetic energy is

  1. 4.5 J
  2. 9.0 J
  3. 12.0 J
  4. 18.0 J

Correct answer: (B)
9.0 J

53. A pilot flies a small plane in a vertical loop of radius . At the top of its trajectory he experiences weightlessness. If the acceleration due to gravity is , the speed of the plane at the top of its trajectory would be

  1. Zero
  2. Infinite
  3. gr
  4. 2gr

Correct answer: (C)
gr

54. A point subjected to a number of forces will be in equilibrium, if

  1. Sum of resolved parts in any two directions at right angles, are both zero
  2. Algebraic sum of the forces is zero
  3. Two resolved parts in any two directions at right angles are equal
  4. Algebraic sum of the moments of the forces about the point is zero

Correct answer: (A)
Sum of resolved parts in any two directions at right angles, are both zero

55. A projectile has maximum range of 40 m on a horizontal plane. If angle of projection is a and the time of flight is 1 second, then sin a must be about (Assume g = 10 m/sec2)

  1. 43556
  2. 43525
  3. 43497
  4. 43586

Correct answer: (A)
43556

56. A projectile is fired at an angle 'θ' to the verticle. its horizontal range will be maximum when 'θ' is

  1. 0°
  2. 30°
  3. 45°
  4. 90°

Correct answer: (C)
45°

57. A projectile is fired with a velocity of 100.3 m/sec. at an elevation of 60°. The velocity attained by the projectile when it is moving at a height of 100 m, is

  1. 70 m/sec
  2. 75 m/sec
  3. 80 m/sec
  4. 90 m/sec

Correct answer: (D)
90 m/sec

58. A projectile is thrown at an angle 'a' to the horizontal with velocity 'v'. It will have the maximum centripetal acceleration centripetal acceleration

  1. At the start
  2. At the top of the trajectory
  3. As it strikes the ground
  4. Elsewhere

Correct answer: (A)
At the start

59. A retarding force on a body does not

  1. Change the motion of the body
  2. Retard the motion of the body
  3. Introduce the motion of the body
  4. None of these

Correct answer: (B)
Retard the motion of the body

60. A rigid body is in a stable equilibrium if the application of any force

  1. Can raise the CG of the body but cannot lower it
  2. Tends to lower the CG of the body
  3. Neither raises nor lowers the CG of the body
  4. None of above

Correct answer: (A)
Can raise the CG of the body but cannot lower it

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