Question

The moment of inertia of a uniform circular disc about a normal axis through center is $I$. The $M.I.$ about a magnetial axis parallel to any of its diameter is

Answer 1

Moment of inertia about a normal axis through centre is $I$.

Or $I=\frac{1}{2}M{R}^2$

$⟹M{R}^2=2I$

Moment of inertia about its diameter $I_d=\frac{I}{2}$

Moment of inertia about an axis parallel to its diameter $I_m=\frac{I}{2}+M{R}^2=\frac{I}{2}+2I=\frac{5}{2}I$