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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

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

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Applied Mechanics and Graphic Statics
For perfectly elastic bodies, the value of coefficient of restitution is

Between 0 and 1
0.5
Zero
1

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Applied Mechanics and Graphic Statics
The height at which the end of a rope of length ‘l’ should be tied so that a man pulling at the other end may have the greatest tendency to overturn the pillar, is

¾ l
½ l
2/√3 l
l/√2

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Applied Mechanics and Graphic Statics
A solid sphere of mass M and radius R rolls down a plane inclined at 0 with the horizontal. The acceleration of sphere is (where g is acceleration due to gravity)

(2/5) g sin 0
(3/7) g sin 0
(5/7) g sin0
(1/3) g sin0

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Applied Mechanics and Graphic Statics
If the given forces P₁, P₂, P₃ and P₄ are such that the force polygon does not close, then the system will

Always reduce to a resultant force
Always reduce to a couple
Be in equilibrium
Both (A) and (C)

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Applied Mechanics and Graphic Statics
Two shots fired simultaneously from the top and bottom of a vertical tower with elevations of 30° and 45° respectively strike a target simultaneously. If horizontal distance of the target from the tower is 1000 m, the height of the tower is

400 m
425 m
375 m
350 m

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