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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
Periodic time of a particle moving with simple harmonic motion is the time taken by the particle for

Quarter oscillation
None of these
Complete oscillation
Half oscillation

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Applied Mechanics and Graphic Statics
The ratio of kinetic energy and potential energy of a simple harmonic oscillator, at a displacement equal to half its amplitude is given by

0.042361111111111
0.043055555555556
0.084027777777778
0.12569444444444

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Applied Mechanics and Graphic Statics
If the resultant of two forces ‘P’ and ‘Q’ acting at an angle ‘θ’ makes an angle ‘α’ with ‘P’, then tan α equals

P sin θ/P + Q tan θ
Q sin θ/P + Q cos θ
P sin θ/P - Q cos θ
Q sin θ/P + Q sin θ

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Applied Mechanics and Graphic Statics
When a body moves round a fixed axis, it has

A rotary motion
A rotary motion and translatory motion
A translatory
A circular motion

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

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Applied Mechanics and Graphic Statics
A rod AB carries three loads of 30 N, 70 N and 100 N at distances of 20 mm, 90 mm and 150 mm respectively from A. Neglecting the weight of the rod, the point at which the rod will balance is

132.5 mm from A
109.5 mm from A
119.5 mm from A
125.5 mm from A

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