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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A solid sphere of mass M and radius R rolls down a plane inclined at 0 with the horizontal. The acceleration of sphere is (where g is acceleration due to gravity)

(2/5) g sin 0
(1/3) g sin0
(3/7) g sin 0
(5/7) g sin0

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Applied Mechanics and Graphic Statics
A ball moving on a smooth horizontal table hits a rough vertical wall, the coefficient of restitution between ball and wall being 1/3. The ball rebounds at the same angle. The fraction of its kinetic energy lost is

44052
43833
43864
43839

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Applied Mechanics and Graphic Statics
One end of a light string 4 m in length is fixed to a point on a smooth wall and the other end fastened to a point on the surface of a smooth sphere of diameter 2.25 m and of weight 100 kg. The reaction between the sphere and the wall of the arrangement made is

102.5 kg
105.5 kg
108.5 kg
110 kg

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Applied Mechanics and Graphic Statics
The frequency of oscillation on moon as compared to that on earth, will be

2.44 times less
3 times more
2.44 times more
3 times less

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Applied Mechanics and Graphic Statics
Time required to stop a car moving with a velocity 20 m/sec within a distance of 40 m, is

3 sec
5 sec
4 sec
2 sec

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Applied Mechanics and Graphic Statics
Two balls of masses 3 kg and 6 kg are moving with velocities of 4 m/sec and 1 m/sec respectively, towards each other along the line of their centers. After impact the 3 kg ball comes to rest. This can happen only if the coefficient of restitution between the balls is

3/5
2/3
1/5
1/3

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