Question

The moment of inertia of a uniform square plate of mass M and edge of length 'l' about its axis passing through 'P' and perpendicular to it is

• A.
• B.
• C.
• D.

Answer 1

The correct option is B

According to parallel axes theorem

$I=I_0+M\left(x^2\right)$ where x = $\frac{1}{\sqrt{2}}$

Where $I_0=\frac{M{I}^2}{6}$

$\therefore$ $I=\frac{M{I}^2}{6}+M(\frac{1}{\sqrt{2}}{)}^2=\frac{2}{3}M{I}^2$