Question bank/JEE Main/Physics

Find the moment of inertia of a uniform rectangular plate of
mass M, edges of length
and about itsaxis passing through
centre and perpendicular to

A$\frac{M\left( \mathcal{l}^{2} + b^{2} \right)}{6}$B$\frac{M\left( \mathcal{l}^{2} + b^{2} \right)}{12}$C$\frac{M\left( \mathcal{l}^{2} + b^{2} \right)}{3}$

Show answer and solution▾

Using perpendicular axis theorem l_3 = I_1 + I_2
$I_{2} = \frac{M\mathcal{l}^{2}}{12}$
$I_{3} = \frac{M\left( \mathcal{l}^{2} + b^{2} \right)}{12}$
$I_{3} = \frac{M\left( \mathcal{l}^{2} + b^{2} \right)}{12}$

Source: Grass-G / P-07 Physics paper 17 October.docx