list of moments of inertia

Description	Figure	Moment(s) of inertia	Comment
Cylinder of mass $M\,$ and radius $R\,$ (axis)		$I = \frac{1}{2} M R^2\,$
Cylindrical shell of mass $M\,$ and radius $R\,$ (axis)		$I = M R^2\,$
Solid sphere of mass $M\,$ and radius $R\,$		$I = \frac{2}{5} M R^2\,$
Thin spherical shell of mass $M\,$ and radius $R\,$		$I = \frac{2}{3} M R^2\,$
Rod of mass $M\,$ and length $L\,$ (center)		$I = \frac{1}{12} M L^2\,$
Rod of mass $M\,$ and length $L\,$ (end)		$I = \frac{1}{3} M L^2\,$