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

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