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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A smooth cylinder lying on its convex surface remains

In unstable equilibrium
In neutral equilibrium
In stable equilibrium
Out of equilibrium

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Applied Mechanics and Graphic Statics
The ratio of the ranges on the inclined plane with motion upward and with motion downward for a given velocity, angle of projection will be

tan (α - β)/tan (α + β)
sin (α - β)/sin (α + β)
sin (α + β)/sin (α - β)
cos (α - β)/cos (α + β)

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Applied Mechanics and Graphic Statics
A hoop of radius 3 m weighs 100 kg. It rolls along a horizontal floor so that at its centre of mass has a speed of 200 mm/sec. The work required to stop the hoop is

8 J
4 J
6 J
2 J

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Applied Mechanics and Graphic Statics
A particle is dropped from the top of a tower 60 m high and another is projected upwards from the foot of the tower to meet the first particle at a height of 15.9 m. The velocity of projection of the second particle is

20 m/sec
18 m/sec
22 m/sec
16 m/sec

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Applied Mechanics and Graphic Statics
Two objects moving with uniform speeds are 5 m apart after 1 second when they move towards each other and are 1 m apart when they move in the same direction. The speeds of the objects are:

2 m/sec and 2 m/sec
4 m/sec and 6 m/sec
3 m/sec and 2 m/sec
3 m/sec and 3 m/sec

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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

πd⁴/24
πd⁴/16
π/64 (D⁴ + d⁴)
πd⁴/32

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