Question:
Moment of inertia of a square plate of side $l$ about the axis passing through one of the corner and perpendicular to the plane of square plate is given by :
Correct Option: , 4
Solution:
According to perpendicular Axis theorem.
$\mathrm{I}_{\mathrm{x}}+\mathrm{I}_{\mathrm{y}}=\mathrm{I}_{\mathrm{z}}$
$\mathrm{I}_{\mathrm{z}} \Rightarrow \frac{\mathrm{m} \ell^{2}}{3}+\frac{\mathrm{m} \ell^{2}}{3}$
$=\frac{2 m \ell^{2}}{3}$