Q.
The moment of inertia of a thin uniform rod of mass $M$ and length $L$ about an axis passing through its midpoint and perpendicular to its length is $I_{0}$. Its moment of inertia about an axis passing through one of its ends and perpendicular to its length is
A) $I_{0} + ML^{2}$
B) $I_{0} + \frac{ML^{2}}{2}$
C) $I_{0} + \frac{ML^{2}}{4}$
D) $I_{0} + 2ML^{2}$
Explanation
(c) $I = I_{CM} + Mh^{2}$ (Parallel axis theorem)
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.