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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
If A is the amplitude of particle executing simple harmonic motion, then the total energy E of the particle is

Independent of A
Proportional to A²
Proportional to A
Proportional to 1/A²

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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

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

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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
350 m
375 m

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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

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

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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

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

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Applied Mechanics and Graphic Statics
A particle is dropped from a height of 3 m on a horizontal floor, which has a coefficient of restitution with the ball of 1/2. The height to which the ball will rebound after striking the floor is

0.75 m
0.5 m
1.0 m
1.5 m

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