Q. Moment of inertia of rod of mass $M$ and length $L$ about an axis passing through a point midway between centre and end is
A) $\frac{{ML}^{2}}{6}$
B) $\frac{{ML}^{2}}{12}$
C) $\frac{{7ML}^{2}}{24}$
D) $\frac{{7ML}^{2}}{48}$
Explanation
(d) $I = I_{CM} + Mx^{2}$
$= \frac{ML^{2}}{12} + M\left\lbrack \frac{L}{4} \right\rbrack^{2}$
$= \frac{ML^{2}}{12} + \frac{ML^{2}}{16} = \frac{7ML^{2}}{48}$
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Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.