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 I₀. Its moment of inertia about an axis passing through one of its ends and perpendicular to its length is
A) I₀ + ML²
B) I₀ + ML²/2
C) I₀ + ML²/4
D) I₀ + 2ML²
Explanation
[Solution from source] By the parallel axis theorem, I = I₀ + Md², and the end of the rod is d = L/2 from the centre, so I = I₀ + ML²/4. Using the full length L as the shift distance (giving I₀ + ML²) is the usual mistake. Answer (3).
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.