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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The equation of motion of a particle starting from rest along a straight line is x = t³ - 3t²+ 5. The ratio of the accelerations after 5 sec and 3 sec will be

2
4
5
3

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Applied Mechanics and Graphic Statics
If two forces acting at a point are in equilibrium, they must be equal in magnitude and their line of action must be along

The same line in opposite sense
The perpendicular to both the lines
The same line in the same sense
None of these

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Applied Mechanics and Graphic Statics
A projectile is fired at an angle ‘θ’ to the vertical. Its horizontal range will be maximum when ‘θ’ is

45°
0°
90°
30°

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Applied Mechanics and Graphic Statics
A simple pendulum of length / has an energy E, when its amplitude is A. If the length of pendulum is doubled, the energy will be

E/2
E
2E
4E

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Applied Mechanics and Graphic Statics
The torque produced by a force depends on(i) The magnitude of the force(ii) The direction of the force(iii) The point of application of the force relative to origin

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

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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)

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

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