Applied Mechanics and Graphic Statics

61. A rigid body suspended vertically at a point and oscillating with a small amplitude under the action of the force of gravity, is called

1. Simple pendulum
2. Compound pendulum
3. Second's pendulum
4. None of these

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62. A rod 5 m in length is moving in a vertical plane. When it is inclined at 60° to horizontal, its lower end is moving horizontally at 3 m/sec and upper end is moving in vertical direction. The velocity of its upper end, is

1. 0.5 m/sec
2. 1.0 m/sec
3. 1.5 m/sec
4. 2.5 m/sec

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63. A rod AB carries three loads of 30 N, 70 N and 100 N at distances of 20 mm, 90 mm and 150 mm respectively from A. Neglecting the weight of the rod, the point at which the rod will balance is

1. 109.5 mm from A
2. 119.5 mm from A
3. 125.5 mm from A
4. 132.5 mm from A

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64. A satellite goes on moving along its orbit round the earth due to

1. Gravitational force
2. Centrifugal force
3. Centripetal force
4. None of these

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65. Work may be defined as

1. Force × distance
2. Force × velocity
3. Force × acceleration
4. None of these

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66. A satellite moves in its orbit around the earth due to

1. Gravitational force
2. Centripetal force
3. Centrifugal force
4. None of these

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67. A Second's pendulum gains 2 minutes a day. To make it to keep correct time its length

1. Must be decreased
2. Must be increased
3. Is not changed but weight of the bob is increased
4. Is not changed but weight of the bob is decreased

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68. A Seconds pendulum executes

1. 0.5 beat per second
2. 1.0 beat per second
3. 2.0 beats per second
4. 2.5 beats per second

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69. A shell of mass 100 kg travelling with a velocity of 10 m/sec breaks into two equal pieces during an explosion which provides an extra kinetic energy of 20000 Joules. If the pieces continue to move in the same direction as before, then the speed of the faster one must be

1. 20 m/sec
2. 30 m/sec
3. 40 m/sec
4. 50 m/sec

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70. A shell travelling with a horizontal velocity of 100 m/sec explodes and splits into two parts, one of mass 10 kg and the other of 15 kg. The 15 kg mass drops vertically downward with initial velocity of 100 m/sec and the 10 kg mass begins to travel at an angle to the horizontal of tan"1 x, where x is

1. 43558
2. 43589
3. 43529
4. 43588

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