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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 the `z-`axis is

A

`(ML^(2))/(6)`

B

`(ML^(2))/(8)`

C

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

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
From `_|_` axis theorem
`I_(z) = I_(x) + I_(y)`
`I_(y) = I_(z) - I_(x) = (mL^(2))/(6) - (mL^(2))/(8) rArr I_(y) = (mL^(2))/(24)`.
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