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A solid sphere of mass m is attached to ...

A solid sphere of mass m is attached to a light spring of force constant k so that it can roll without slipping along a horizontal surface. Calculate the period of oscillation made by sphere.

A

(a)`2pisqrt((M)/(2k))`

B

(b)`pisqrt((3M)/(2k))`

C

(c)`pisqrt((2M)/(3k))`

D

(d)`2pisqrt((7M)/(5k))`

Text Solution

Verified by Experts

The correct Answer is:
D
About the point of contact,`tau=(kx)R Rightarrow c=kR` and `I=(3)/(2)mR^(2)`
`Rightarrow T=2pisqrt((I)/(c))=2pisqrt((3//2mR^(2))/(kR))=2pisqrt((3m)/(2k))`
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