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The figure shows an isosceles triangle p...

The figure shows an isosceles triangle plate of mass `M` and base `L`.
The angle at the apex is `90^@`. The apex lies at the origin and the base is parallel to `X-`axis.

The moment of inertia of the plate about its base parallel to the `x-`axis is

A

`(ML^(2))/(18)`

B

`(ML^(2))/(36)`

C

`(ML^(2))/(24)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
moment of intrtia of triangular lamina about base
`I_(xx) = (ml^(2))/(6)`
`I_(yy) = (mb^(2))/(6)`
`I_(AB) = 2 xx (1)/(6) xx (m//2) xx (L//2)^(2) rArr I_(AB) = (mL^(2))/(24)`.

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