Question

Match the following moment of inertia of thin circular plate about different axes of rotation

List-1	List-2
a) about any diameter	e) $\frac{3}{2}M{R}^2$
b) about any tangent in its plane	f) $\frac{1}{4}M{R}^2$
c) about natural axis	g) $\frac{5}{4}M{R}^2$
d) about any tangent perpendicular to its plane	h) $\frac{1}{2}M{R}^2$

• A. a - g; b - f; c - h; d - e
• B. a - f; b - g; c - h; d - e
• C. a - g; b - f; c - e; d - h
• D. a - f; b - g; c - e; d - h

Answer 1

The correct option is B a - f; b - g; c - h; d - e

Moment of inertia about any diameter $I=\frac{M{R}^2}{4}$

Moment of inertia about any tangent in its plane $I=\frac{M{R}^2}{4}+M{R}^2=\frac{5M{R}^2}{4}$

Moment of inertia about natural axis $I=\frac{M{R}^2}{2}$

Moment of inertia about any tangent perpendicular to its plane $I=\frac{M{R}^2}{2}+M{R}^2=\frac{3M{R}^2}{2}$