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A loop and a disc have same mass and rol...

A loop and a disc have same mass and roll without slipping with the same linear velocity `v`. If the total kinetic energy of the loop is `8 J`, the kinetic energy of the disc must be.

A

6J

B

8J

C

12J

D

16J

Text Solution

Verified by Experts

The correct Answer is:
1
`K_(LOOP)=1/2(2mr^2)omega^2=mV^2=8` (`K=1/2I_pomega^2`where P is contact point which is stationary) `K_(DISK)=1/2(3/2mr^2)omega^2=(3mV^2)/4=6J`.
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