Physics equations/Equations/Moments of inertia (small table)

Description	Figure	Moment(s) of inertia
Rod of length L and mass m (Axis of rotation at the end of the rod)		$I_{\mathrm {end} }={\frac {mL^{2}}{3}}\,\!$
Solid cylinder of radius r, height h and mass m		$I_{z}={\frac {mr^{2}}{2}}\,\!$ $I_{x}=I_{y}={\frac {1}{12}}m\left(3r^{2}+h^{2}\right)$
Sphere (hollow) of radius r and mass m		$I={\frac {2mr^{2}}{3}}\,\!$
Ball (solid) of radius r and mass m		$I={\frac {2mr^{2}}{5}}\,\!$