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What is the moment of inertia of a solid...

What is the moment of inertia of a solid of density `rho` and radius R about its diameter ?

A

`(176)/(105)R^(5)rho`

B

`(176)/(105)R^(2)rho`

C

`(105)/(176)R^(5)rho`

D

`(105)/(176)R^(2)rho`

Text Solution

Verified by Experts

The correct Answer is:
A
For the solid sphere
`I=(2)/(5)MR^(2)=(2)/(5)xx(4)/(3)piR^(3)rhoxxR^(2)`
`=(8)/(15)xx(22)/(7)xxR^(5)rho=(176)/(105)R^(5)rho`
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