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Total kinetic energy of a rolling solid sphere is ( is mass and is velocity)
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Important Questions on Rotational Motion
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A thin hollow cylinder open at both ends slips without rolling; rolls without slipping with the same velocity. The ratio of the kinetic energies in both cases will be
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A solid spherical ball rolls on a table without slipping. The percentage of its rotational kinetic energy is
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A solid sphere is moving on a horizontal plane. Ratio of its translational kinetic energy and rotational kinetic energy is
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Two identical cylinders are released from the top of two identical inclined planes. If one rolls without slipping and the other slips without rolling, then
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An inclined -plane makes an angle of with the horizontal. A solid sphere rolling down this inclined plane from rest without slipping has a linear acceleration equal to
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Two uniform thin rods each of mass and length are placed along and -axis with one end of each at the origin. Moment of inertia of the system about -axis is
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Four particles, each of mass , are lying symmetrically on the rim of a disc of mass and radius . Moment of inertia of this system about an axis passing through one of the particles and perpendicular to plane of disc is
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The radius of gyration of a rigid body about an axis at a distance of from its centre of mass is . Its radius of gyration about a parallel axis through its centre of mass is,
