Question

Find the moment of inertial of a solid cylinder of mass $M$ and radius $R$ about a line parallel to the axis of the cylinder and on the surface of the cylinder.

Answer 1

$I=I_{cm}+M{R}^2$

$=\frac{M{R}^2}{2}+M{R}^2$

$I=\frac{3M{R}^2}{2}$

We get, $I=\frac{3M{R}^2}{2}.$