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A Hollow Sphere, a Solid Sphere, a Disc and a Ring All Having Same Mass and Radius Are Rolled Down on an Inclined Plane. - Physics

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प्रश्न

A hollow sphere, a solid sphere, a disc and a ring all having same mass and radius are rolled down on an inclined plane. If no slipping takes place, which one will take the smallest time to cover a given length?

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उत्तर

The body with the smallest moment of inertia will roll down taking the smallest time. Here, the solid sphere has the lowest moment of inertia among all the other bodies. So, it will roll down taking the least time.

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Values of Moments of Inertia for Simple Geometrical Objects (No Derivation)
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अध्याय 10: Rotational Mechanics - Short Answers [पृष्ठ १९२]

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एचसी वर्मा Concepts of Physics Vol. 1 [English] Class 11 and 12
अध्याय 10 Rotational Mechanics
Short Answers | Q 21 | पृष्ठ १९२

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