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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A disc of mass 4 kg, radius 0.5 m and moment of inertia 3 kg.m² rolls on a horizontal surface so that its center moves with speed 5 m/see. Kinetic energy of the disc is

50 J
200 J
400 J
150 J

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Applied Mechanics and Graphic Statics
Two circular discs of same weight and thickness are made from metals having different densities. Which disc will have the larger rotational inertia about its central axis?

Disc with smaller density
Both discs will have same rotational inertia
None of these
Disc with larger density

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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
A rigid body suspended vertically at a point and oscillating with a small amplitude under the action of the force of gravity, is called

None of these
Simple pendulum
Compound pendulum
Second's pendulum

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Applied Mechanics and Graphic Statics
The frequency of oscillation on moon as compared to that on earth, will be

3 times more
2.44 times less
3 times less
2.44 times more

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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

πd⁴/16
πd⁴/24
π/64 (D⁴ + d⁴)
πd⁴/32

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