Question Bank MCQ • 1 Mark Section 2: Classical Mechanics Classical Mechanics - Module 4

QB_PH_039: Classical Mechanics - Module 4

Question Statement

The moment of inertia of a uniform solid sphere of mass $M$ and radius $R$ about a tangent line to its surface is:
(A) \frac{7}{5} M R^2
(B) \frac{2}{5} M R^2
(C) \frac{3}{5} M R^2
(D) \frac{5}{3} M R^2
Correct Answer
A
Verified Key

Step-by-Step KaTeX Derivation & Detailed Explanation

### Solution: $I = I_{cm} + M R^2 = \frac{2}{5} M R^2 + M R^2 = \frac{7}{5} M R^2$.
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