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A disc of mass m is connected with an id...

A disc of mass `m` is connected with an ideal spring of stiffness `k`. If it is released from rest, it rolls without sliding on an inclination plane. The maximum elongation of the spring is:

A

`(mg sin theta)/k`

B

`(2mg sin theta)/(3k)`

C

`(3mg sin theta)/k`

D

`(2 mg sin theta)/k`

Text Solution

Verified by Experts

The correct Answer is:
D
We use work enregy principale
`mgsin thetaxxx-1/2kx^(2)=0 rArrx=(2mg sin theta)/k`
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