Question

Obtain an expression for moment of inertia of a uniform circular disc about a diameter of the disc.

Answer 1

from perpendicular axis theorem$.$

$I^{\prime }=2I$

$\Rightarrow I=\frac{I^{\prime }}{2}$

$=\left(\frac{M{R}^2}{2}\right)\cdot \frac{1}{2}$

$I=\frac{M{R}^2}{4}$

We get,$I=\frac{M{R}^2}{4}.$