Applied Mechanics and Graphic Statics

71. A simple pendulum of length 1 has an energy E when its amplitude is A. If its amplitude is increased to 2 A, the energy becomes

  1. E
  2. E/2
  3. 2E
  4. 4E

Correct answer: (D)
4E

72. A simple pendulum of length l has an energy E , when its amplitude is A . If the length of pendulum is doubled, the energy will be

  1. E
  2. E/2
  3. 2E
  4. 4E

Correct answer: (B)
E/2

73. A smooth cylinder lying on its convex surface remains

  1. In stable equilibrium
  2. In unstable equilibrium
  3. In neutral equilibrium
  4. Out of equilibrium

Correct answer: (B)
In unstable equilibrium

74. A sphere and a cylinder having the same mass and radii start from rest and roll down the same inclined plane. Which body gets to the bottom first?

  1. Sphere with greater rotational energy at bottom than cylinder
  2. Sphere with lesser rotational energy at bottom than cylinder
  3. Cylinder with greater rotational energy at bottom than sphere
  4. Both reach the bottom simultaneously with equal rotational energy at bottom

Correct answer: (B)
Sphere with lesser rotational energy at bottom than cylinder

75. A sphere is resting on two planes BA and BC which are inclined at 45° and 60° respectively with the horizontal. The reaction on the plane BA will be

  1. Less than that on BC
  2. More than that of BC
  3. Equal to that on BC
  4. None of these

Correct answer: (B)
More than that of BC

76. A spring scale in a stationary lift shows a reading of 60 kg for a man standing on it. If the lift starts descending at an acceleration of g/5, the scale reading would be

  1. 48 kg
  2. 60 kg
  3. 72 kg
  4. None of these

Correct answer: (A)
48 kg

77. A square hole is punched out of a circular lamina, the diagonal of the square being the radius of the circle. If is the radius of the circle, the C.G. of the remainder from the corner of the square on the circumference will be

  1. [r (π + 0.25)]/(π - 0.5)
  2. [r (π - 0.5)]/(π + 0.25)
  3. [r (π - 0.25)]/(π - 0.5)
  4. [r (π + 0.25)]/(π + 0.5)

Correct answer: (C)
[r (π - 0.25)]/(π - 0.5)

78. A stone is thrown up a slope of inclination 60° to the horizontal. At what angle to the slope must the stone be thrown so as to land as far as possible from the point of projection?

  1. 15°
  2. 30°
  3. 45°
  4. 75°

Correct answer: (A)
15°

79. A stone is thrown vertically upwards with a vertical velocity of 49 m/sec. It returns to the ground in

  1. 5 sec
  2. 8 sec
  3. 10 sec
  4. 20 sec

Correct answer: (C)
10 sec

80. A stone is whirled in a vertical circle, the tension in the string, is maximum

  1. When the string is horizontal
  2. When the stone is at the highest position
  3. When the stone is at the lowest position
  4. At all the positions

Correct answer: (C)
When the stone is at the lowest position

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