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A plank P is placed on a solid cylinder ...

A plank P is placed on a solid cylinder S, which rolls on a horizontal surface. The two are of equal masses. There is no slipping at any of the surfaces in contact. The ratio of the kinetic energy of P to the kinetic energy of S is

A

`1:1`

B

`2:1`

C

`8:3`

D

`11:8`

Text Solution

Verified by Experts

The correct Answer is:
C
`KE` of `P=1/2m(2v)^(2)=2mv^(2)`
`KE` of `S=1/2mv^(2)+1/2Iomega^(2)=3/4mv^(2)implies (KE "of" P)/(KE "of" S)=8/3`
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