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A solid hemisphere and a hemisphereical ...

A solid hemisphere and a hemisphereical shell are joined as shown. Both of them has mass `m//2` individually. Find out moment of inertia about axis `I_(1),I_(2)`.

A

`(8mR^(2))/(15)`

B

`(2)/(7)mR^(2)`

C

`(2)/(5)mR^(2)`

D

`(2)/(3) mR^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
`(2)/(5)((m)/(2))R^(2)+(2)/(3)((m)/(2))R^(2)=(8mR^(2))/(15)`
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