1.

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 `y-`axis isA. `(ML^(2))/(6)`B. `(ML^(2))/(8)`C. `(ML^(2))/(24)`D. none of these

Answer» Correct Answer - 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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