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The linear mass density of a thin rod AB...

The linear mass density of a thin rod AB of length L varies from A to B as `lambda (x) =lambda_0 (1 + x/L)`. Where x is the distance from A. If M is the mass of the rod then its moment of inertia about an axis passing through A and perpendicualr to the rod is :

A

`5/12 ML^2`

B

`7/18ML^2`

C

`2/5ML^2`

D

`3/7ML^2`

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