List of moments of inertia of shapes

Moment of inertia of a disc: $\frac{1}{2}m{r}^2$ Moment of inertia of a rod about an arbitrary point on the rod’s axis: $a^{2}m+amL+\frac{1}{3}m{L}^2-\frac{m{a}^3}{3L}$ where $a$ is the distance of the arbitrary point from the closer end of the rod

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