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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A stone is thrown up a slope of inclination 60° to the horizontal. At what angle to the slope must the stone be thrown so as to land as far as possible from the point of projection ?

45°
30°
75°
15°

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Applied Mechanics and Graphic Statics
When a body in equilibrium undergoes an infinitely small displacement, work imagined to be done, is known as

Imaginary work
Virtual work
Negative work
None of these

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Applied Mechanics and Graphic Statics
The maximum velocity of a body vibrating with a simple harmonic motion of amplitude 150 mm and frequency 2 vibrations/sec, is

188.5 m/sec
18.85 m/sec
0.18845 m/sec
1.885 m/sec

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Applied Mechanics and Graphic Statics
The velocity ratio of an inclined plane of inclination ‘θ’ with horizontal for lifting a load is

sin θ
cosec θ
tan θ
cos θ

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Applied Mechanics and Graphic Statics
If the kinetic energy and potential energy of a simple harmonic oscillator of amplitude A are both equal to half the total energy, then the displacement is equal to

A
A√2
A/2
A/√2

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Applied Mechanics and Graphic Statics
A solid cylinder of mass M and radius R rolls down an inclined plane without slipping. The acceleration of center of mass of rolling cylinder is (where ‘g’ is acceleration due to gravity and 0 is inclination of plane with horizontal.)

g sin 9
(1/3) g sinB
(2/3) g sin 0
(2/3) g cos 9

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