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A disc of mass M is attached to a horizo...

A disc of mass `M` is attached to a horizontal massless spring of force constant `K` so that it can roll with out slipping along a horizontal surface. If the disc is pulled a little towards right and then released, its centre of mass executes `SHM` with a period of

A

`2pi sqrt((M)/(K))`

B

`2pi sqrt((3M)/(K))`

C

`2pi sqrt((M)/(2K))`

D

`2pi sqrt((3M)/(2K))`

Text Solution

Verified by Experts

The correct Answer is:
D
`T = 2pi (sqrt(m(((1+beta))/(K))))`
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