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moment of inertia - the tendency of a body to resist angular acceleration. inertia - (physics) the tendency of a body to maintain its state of rest or uniform motion unless acted upon by an external force. moment - a turning force produced by an object acting at a distance (or a measure of that force)
to derive the moment of inertia of a solid sphere of uniform density and radius R. [tex] dI = r_{\perp}^{2} dm = r_{\perp}^{2} \rho dV [/tex] â. where [itex] r_{\perp} [/itex] is the perpendicular distance to a point at r from the axis of rotation. Therefore, [itex] r_{\perp} = |\mathbf{r}|\sin{\theta} [/itex].