Description^{[1]} | 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 | $I={\frac {2mr^{2}}{5}}\,\!$ |