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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

`5:3`

Text Solution

Verified by Experts

The correct Answer is:
C
`K_(p) = 1/2 m(2v)^(2) = 2mv^(2)`
`K_(S) =1/2 mv^(2) + 1/2Iomega^(2) = 1/2 mv^(2) + 1/2(1/2mR^(2)) (v/R)^(2) = 3/4 mv^(2) therefore K_(p)/K_(S) = 8/3`
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