Mass of disc is $m$ and radius $r$. The moment of inertia of this disc about a tangent parallel to d

Question

Mass of disc is $m$ and radius $r$. The moment of inertia of this disc about a tangent parallel to diameter axis is

Professor PC Thomas Classes · Answer

Moment of inertia of a disc about its diameter is $\frac{1}{4} mr^2$. By parallel axis theorem, about a tangent parallel to diameter: $I = \frac{1}{4} mr^2 + mr^2 = \frac{5}{4} mr^2$.