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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The moment of inertia of a circular lamina of diameter ‘d’, about an axis perpendicular to the plane of the lamina and passing through its centre, is

πd⁴/16
πd⁴/32
π/64 (D⁴ + d⁴)
πd⁴/24

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Applied Mechanics and Graphic Statics
When a body slides down an inclined surface, the acceleration (f) of the body, is given by

f = g cos θ
f = g
f = g tan θ
f = g sin θ

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Applied Mechanics and Graphic Statics
A rigid body is in a stable equilibrium if the application of any force

Can raise the CG of the body but cannot lower it
Tends to lower the CG of the body
Neither raises nor lowers the CG of the body
None of above

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Applied Mechanics and Graphic Statics
If the angle of projection is double the angle of inclination (α) of the plane on which particle is projected, the ratio of times of flight up the inclined plane and down the inclined plane, will be

½ tan α
½ cos α
½ sin α
2 cos α

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Applied Mechanics and Graphic Statics
A sphere is resting on two planes BA and BC which are inclined at 45° and 60° respectively with the horizontal. The reaction on the plane BA will be

Equal to that on BC
None of these
More than that of BC
Less than that on BC

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Applied Mechanics and Graphic Statics
A projectile is fired with a velocity of 100.3 m/sec. at an elevation of 60°. The velocity attained by the projectile when it is moving at a height of 100 m, is

70 m/sec
80 m/sec
75 m/sec
90 m/sec

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