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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
3
4
5

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Applied Mechanics and Graphic Statics
A satellite is said to move in a synchronous orbit if it moves at an altitude of 36,000 km with a maximum velocity of about

11,000 km per hour
8000 km per hour
7000 km per hour
9000 km per hour

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Applied Mechanics and Graphic Statics
A ball moving with a velocity of 5 m/sec impinges a fixed plane at an angle of 45° and its direction after impact is equally inclined to the line of impact. If the coefficient of restitution is 0.5, the velocity of the ball after impact will be

1.5 m/sec
0.5 m/sec
2.5 m/sec
3.5 m/sec

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Applied Mechanics and Graphic Statics
A ball of mass 250 g moving on a smooth horizontal table with a velocity of 10 m/sec hits an identical stationary ball ‘B’ on the table. If the impact is perfectly plastic, the velocity of the ball ‘B’ just after impact would be

None of these
10 m/sec
Zero
5 m/sec

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Applied Mechanics and Graphic Statics
If the velocity of projection is 4 m/sec and the angle of projection is α°, the maximum height of the projectile from a horizontal plane, is

u² cos² α/2g
u² sin² α/2g
u² sin 2α/2g
u² tan² α/2g

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Applied Mechanics and Graphic Statics
The ends of a string weighing w/metre are attached to two points at the same horizontal level. If the central dip is very small, the horizontal tension of the string throughout is

wl²/8d
wl²/16d
wl/4d
wl²/4d

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