Question

A solid cylinder has mass M, length L and radius R. The moment of inertia of this cylinder about a generator is

• A. $ M\left( \frac{{{L}^{2}}}{12}+\frac{{{R}^{2}}}{4} \right) $
• B. $ \frac{M{{L}^{2}}}{4} $
• C. $ \frac{1}{2}M{{R}^{2}} $
• D. $ \frac{3}{2}M{{R}^{2}} $

Answer 1

Answer: (B)

Generator axis of a cylinder is a line lying on it's surface and parallel to axis of cylinder By parallel axis theorem
$ I=\frac{M{{R}^{2}}}{2}+M{{R}^{2}} $
$ I=\frac{3}{2}M{{R}^{2}} $