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Question

A ring rolls without slipping on a horizontal surface. At any instant, its position is as shown in the figure.
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A
Section ABC has greater kinetic energy than section ADC.
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B
Section BC has greater kinetic energy than section CD.
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C
Section BC has the same kinetic energy as section DA.
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D
The section AB, BC, CD, and DA have the same kinetic energy.
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Solution

The correct options are
A Section ABC has greater kinetic energy than section ADC.
B Section BC has greater kinetic energy than section CD.
In a rolling body velocity at the top half is always more than the bottom half. The bottommost part is the instantaneous center of zero velocity and the top most point has velocity twice to that of the velocity at the center. Thus option A and B are correct.

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