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In rotational motion of a rigid body, all particles move with

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Important Questions on Rotational Motion

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If the kinetic energy of rotation of a body about an axis is 9 J and the moment of inertia is 2 kg m2, then the angular velocity of the body about the axis of rotation in rad s-1 is,
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A flywheel rotating about a fixed axis has a kinetic energy of 360 joule when its angular speed is 30 radian s-1. The moment of inertia of the wheel about the axis of rotation is,
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When W  joule of work is done on a flywheel, its frequency of rotation increases from ν1Hz to ν2 Hz. The moment of inertia of the flywheel about its axis of rotation is given by
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What is the frictional force on a drum of radius R and mass M if it rolls down without slipping along an inclined plane of angle θ?
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A solid sphere is in a rolling motion. In rolling motion, a body possesses translational kinetic energy Kt as well as rotational kinetic energy Kr simultaneously, The ratio Kt : Kt+Kr for the sphere is
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Three objects, A:(a solid sphere), B:(a thin circular disk) and C: (a circular ring), each have the same mass M and radius R. They all spin with the same angular speed ω about their own symmetry axes. The amounts of work W required to bring them to rest, would satisfy the relation
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Thin uniform rod of length l and mass m is swinging freely about a horizontal axis passing through its end. Its maximum angular speed is ω. Its centre of mass rises to a maximum height of
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A hollow sphere of mass M and radius R is rotating with angular frequency ω. It suddenly stops rotating and 75% of kinetic energy is converted to heat. If S is the specific heat of the material in J kg K-1 then rise in temperature of the sphere is (M.I. of hollow sphere =23 MR2)