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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

3
2
4
5

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

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Applied Mechanics and Graphic Statics
When a body slides down an inclined surface, the acceleration (f) of the body, is given by

f = g sin θ
f = g
f = g tan θ
f = g cos θ

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Applied Mechanics and Graphic Statics
A body of weight 14 g appears to weight 13 g when weighed by a spring balance in a moving lift. The acceleration of the lift at that moment was

1 cm/sec²
1 m/sec²
0.7 m/sec²
0.5 m/sec²

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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

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

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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:

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

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