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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 particle of mass 2 kg executes simple harmonic motion of frequency 6/71 Hz and amplitude 0.25 m. Its maximum kinetic energy is

4.5 J
18.0 J
9.0 J
12.0 J

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Applied Mechanics and Graphic Statics
A stone of mass 1 kg is tied to a string of length 1 m and whirled in a horizontal circle at a constant angular speed 5 rad/sec. The tension in the string is,

25 N
10 N
5 N
15 N

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Applied Mechanics and Graphic Statics
A circular disc rotates at n rpm. The angular velocity of a circular ring of same mass and radius as the disc and to have the same angular momentum is

n rpm
n/4 rpm
n/2 rpm
2n rpm

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Applied Mechanics and Graphic Statics
A 2 m long ladder rests against a wall and makes an angle of 30° with the horizontal floor. Where will be the instantaneous center of rotation when the ladder starts slipping ?i. 1.0 in from the wallii. 1.732 m from the walliii. 1.0 m above the flooriv. 1.732 m above the floorThe correct answer is

(ii) and (iii)
(i) and (iv)
(i) and (iii)
(ii) and (iv)

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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

wl²/16d
wl/4d
wl²/8d
wl²/4d

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