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A uniform circular ring rolls without sl...


A uniform circular ring rolls without slipping on a horizontal surface. At any instant, its position is as shown in the figure. Then

A

Sector BOC has greater kinetic energy then sector COD with respect to ground

B

Sector ABC has greater kinetic energy than sector ADC with respect to ground

C

Sector BOC has same kinetic energy as sector AOB with respect to ground

D

Sector BOC has same kinetic energy as sector AOD with respect to the centre of mass frame of disc.

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
Taking the instantaneous axis of rotation about point D, sector AOB and BOC have same kinetic since these sectors are symmetrically located with respect to point D. hence have the same rotational kinetic energy about the axis passing through point D
About the centre of mass frame all the sectors AOB,BOC,COD,DOA have the same rotational kinetic energy.
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