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A ring and a disc of different masses are rotating with the same kinetic energy. If we apply a retarding torque τ on the ring, it stops after completing n revolution in all. If the same torque -

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Question

A ring and a disc of different masses are rotating with the same kinetic energy. If we apply a retarding torque τ on the ring, it stops after completing n revolution in all. If the same torque is applied to the disc, how many revolutions would it complete in all before stopping?

Options

  • 4n

  • 2n

  • n

  • n/2

MCQ

Solution

n

Explanation:

Because kinetic energy KR and retarding torque τ are the same, therefore in accordance with the relation,

Loss in kinetic energy = Work done by the torque

= τ.θ

= τ.2πn

So, both the ring and disc stop after completing an equal number of revolutions n.

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Rotational Dynamics
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