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The moment of inertia of a uniform thin ...

The moment of inertia of a uniform thin rod of length L and mass M about an axis passing through a point at a distance of `L/3` from one of its ends and perpendicular to the rod is

A

`(7ML^(2))/(48)`

B

`(ML^(2))/(9)`

C

`(ML^(2))/(12)`

D

`(ML^(2))/(3)`

Text Solution

Verified by Experts

The correct Answer is:
B
`I= I_(CM) + M ((L)/(2)- (L)/(3))^(2)`
`= (ML^(2))/(12) + M ((3L- 2L)/(6))^(2)`
`= (ML^(2))/(12) + (ML^(2))/(36)= (3ML^(2) + ML^(2))/(36)= (1)/(9) ML^(2)`
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