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Q.

A loop and a disc roll without slipping with same linear velocity v. The mass of the loop and the disc is same. If the total kinetic energy of the loop is 8 J, find the kinetic energy of the disc (in J).

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answer is 6.

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Detailed Solution

Total kinetic energy of loop =12Iω+12Mv2          =12MR2ω2+12Mv2=Mv2=8J (given) Total kinetic energy of disc =12Iω2+12Mv2         =1212MR2v2R2+12Mv2=34Mv2=34(8)=6J
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