Applied Mechanics and Graphic Statics

41. A load of 500 kg was lifted through a distance of 13 cm. by an effort of 25 kg which moved through a distance of 650 cm. The velocity ratio of the lifting machine is

1. 50
2. 55
3. 60
4. 65

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42. A marble ball is rolled on a smooth floor of a room to hit a wall. If the time taken by the ball in returning to the point of projection is twice the time taken in reaching the wall, the coefficient of restitution between the ball and the wall, is

1. 0.25
2. 0.5
3. 0.75
4. 1

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43. A number of forces acting simultaneously on a particle of a body

1. May not be replaced by a single force
2. May be replaced by a single force
3. May be replaced by a single force through C.G. of the body
4. May be replaced by a couple

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44. A particle executes a simple harmonic motion. While passing through the mean position, the particle possesses

1. Maximum kinetic energy and minimum potential energy
2. Maximum kinetic energy and maximum potential energy
3. Minimum kinetic energy and maximum potential energy
4. Minimum kinetic, energy and minimum potential energy

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45. A particle is dropped from a height of 3 m on a horizontal floor, which has a coefficient of restitution with the ball of 1/2. The height to which the ball will rebound after striking the floor is

1. 0.5 m
2. 0.75 m
3. 1.0 m
4. 1.5 m

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46. A particle is dropped from the top of a tower 60 m high and another is projected upwards from the foot of the tower to meet the first particle at a height of 15.9 m. The velocity of projection of the second particle is

1. 16 m/sec
2. 18 m/sec
3. 20 m/sec
4. 22 m/sec

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47. A particle is executing simple harmonic motion in a line 1.0 m long. If the time of one complete vibration is 1 sec, then the maximum velocity of the particle is

1. 1.00 m/sec
2. 1.57 m/sec
3. 3.14 m/sec
4. 6.28 m/sec

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48. A particle moves along a straight line such that distance 'x' traversed in 't' seconds is given by x = t²(t + 1), the acceleration of the particle, will be

1. 3t³ - 2t
2. 3t² + 2t
3. 6t - 2
4. 6t + 2

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49. A particle moves in a straight line and its position is defined by the equation x = 6 t² - t³ where 't' is expressed in seconds and 'x' in meters. The maximum velocity during the motion is

1. 6 m/sec
2. 12 m/sec
3. 24 m/sec
4. 48 m/sec

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50. A particle moves with a velocity of 2 m/sec in a straight line with a negative acceleration of 0.1 m/sec². Time required to traverse a distance of 1.5 m, is

1. 40 sec
2. 30 sec
3. 20 sec
4. 15 sec

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