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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
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

6.28 m/sec
1.00 m/sec
3.14 m/sec
1.57 m/sec

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Applied Mechanics and Graphic Statics
A stone is thrown up a slope of inclination 60° to the horizontal. At what angle to the slope must the stone be thrown so as to land as far as possible from the point of projection ?

45°
15°
75°
30°

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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
6t - 2
3t² + 2t
6t + 2

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Applied Mechanics and Graphic Statics
If two forces are in equilibrium, then the forces must (i) Be equal in magnitude (ii) Be opposite in sense (iii) Act along the same line

All (i), (ii) and (iii)
(i) and (ii)
Only (i)
(i) and (iii)

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Applied Mechanics and Graphic Statics
A ball of mass 1 kg moving with a velocity of 2 m/sec collides a stationary ball of mass 2 kg and comes to rest after impact. The velocity of the second ball after impact will be

1.0 m/sec
Zero
2.0 m/sec
0.5 m/sec

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Applied Mechanics and Graphic Statics
Centre of gravity of a thin hollow cone lies on the axis of symmetry at a height of

None of these
One-third of the total height above base
One-fourth of the total height above base
One-half of the total height above base

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