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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
π/64 (D⁴ + d⁴)
πd⁴/24
πd⁴/32

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Applied Mechanics and Graphic Statics
A heavy ladder resting on a floor and against a vertical wall may not be in equilibrium, if

Floor is smooth and the wall is rough
Floor is rough and the wall is smooth
Floor and wall both are rough surfaces
Floor and wall both are smooth surfaces

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Applied Mechanics and Graphic Statics
If a body is lying on a plane whose inclination with the horizontal is less than the angle of friction, then i. a force is required to move the body upwards ii. a force is required to move the body downward iii. the body will not be in equilibrium The correct answer is

only (i)
only (ii)
both (i) and (iii)
both (i) and (ii)

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Applied Mechanics and Graphic Statics
A rod 5 m in length is moving in a vertical plane. When it is inclined at 60° to horizontal, its lower end is moving horizontally at 3 m/sec and upper end is moving in vertical direction. The velocity of its upper end, is

2.5 m/sec
1.0 m/sec
0.5 m/sec
1.5 m/sec

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Applied Mechanics and Graphic Statics
If the tension in a cable supporting a lift moving upwards is twice the tension when the lift is moving downwards, the acceleration of the lift, is

g/3
g/4
g/5
g/2

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Applied Mechanics and Graphic Statics
The direction of projection should bisect the angle between the inclined plane and the vertical for a range of a projectile on inclined plane

To be maximum
To be minimum
None of these
To be zero

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