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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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