A square plate of mass `M` and edge `L` is shown in the figure. The moment of inertia of the plate about the axis in the plane of plate and passing through one of its vertex making an angle `15^@` horizontal is `

Options

A. `(ML^(2))/12`
B. `(11ML^(2))/24`
C. `(7ML^(2))/12`
D. none of these

Answer

B

Explanation

From prallel axis theorem

`I_(1)=(ML^(2))/12 I_(2)=I_(1)+Mx^(2)=(ML^(2))/2+M((sqrt(3)L)/(2sqrt(2)))^(2)=(11ML^(2))/24`