Find the moment of inertia of a uniform square plate of mass `M` and edge a about one of its diagonals.

Options

A. `Igt(ma^(2))/(12)`
B. `(ma^(2))/(24)ltIlt(ma^(2))/(12)`
C. `I=(ma^(2))/(24)`
D. `I=(ma^(2))/(12)`

Answer

D

Explanation

For a thin uniform square sheet
`I_(1)=I_(2)=I_(3)=(ma^(2))/(12)`