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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

3t² + 2t
3t³ - 2t
6t - 2
6t + 2

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Applied Mechanics and Graphic Statics
Force polygon method is applicable for

A system of parallel forces only
Any coplanar force system
Non-concurrent coplanar force system
Concurrent coplanar force system

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Applied Mechanics and Graphic Statics
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

40 m/sec
50 m/sec
30 m/sec
20 m/sec

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Applied Mechanics and Graphic Statics
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

3/5
5/3
3/4
4/5

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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:

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

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Applied Mechanics and Graphic Statics
Which of the following represents the state of neutral equilibrium?

A smooth cylinder lying on a convex surface
A cube resting on one edge
None of these
A smooth cylinder lying on a curved surface

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