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A ring and a disc roll on the horizontal...

A ring and a disc roll on the horizontal surface without slipping, with same linear velocity. If bolh have same mass and radius and total kinetic energy of the ring is 4 J, then total kinetic energy of the disc is

A

3J

B

4J

C

5J

D

6J

Text Solution

Verified by Experts

The correct Answer is:
A
`(KE_(disc))/(KE_("ring"))=((1)/(2)mv^(2))/((1)/(2)mv^(2))([1+K^(2)//R^(2)]_(disc))/([1+K^(2)//R^(2)]_("ring"))`
`=(1+(1)/(2))/(1+1)=((3)/(2))/(2)=(3)/(4)`
`K(E)_(disc)=(3)/(4)KE_("ring")=(3)/(4)xx4=3J`
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