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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
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

3t³ - 2t
3t² + 2t
6t - 2
6t + 2

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Applied Mechanics and Graphic Statics
A disc of mass 4 kg, radius 0.5 m and moment of inertia 3 kg.m² rolls on a horizontal surface so that its center moves with speed 5 m/see. Kinetic energy of the disc is

200 J
150 J
50 J
400 J

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Applied Mechanics and Graphic Statics
Two objects moving with uniform speeds are 5 m apart after 1 second when they move towards each other and are 1 m apart when they move in the same direction.The speeds of the objects are:

2 m/sec and 2 m/sec
4 m/sec and 6 m/sec
3 m/sec and 3 m/sec
3 m/sec and 2 m/sec

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Applied Mechanics and Graphic Statics
A stone was thrown vertically upwards from the ground with a velocity of 50 m/sec. After 5 seconds another stone was thrown vertically upwards from the same place. If both the stones strike the ground at the same time, then the velocity with which the second stone was thrown should be (Assume g = 10 m/sec²)

50 m/sec
15 m/sec
25 m/sec
40 m/sec

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Applied Mechanics and Graphic Statics
The displacement of a particle which moves along a straight line is given by S = 4t³ + 3t²- 10 where ‘S’ is in meters and t is in seconds. The time taken by the particle to acquire a velocity of 18 m/sec from rest, is

½ sec
1.5 sec
1.2 sec
1 sec

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Applied Mechanics and Graphic Statics
M.I. of solid sphere, is

⅔ Mr²
Mr²
½ Mr²
πr4/2

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