The Diagnostic Test Centre/Blood Collection Lab will take samples of your blood and will send them to be tested. The samples will be tested to learn more about your condition and help guide discussion about your diagnosis and treatment. For general inquiries, please contact our 24-hour Call Centre at 416 340 LABS (5227) or 1 866 865 LABS.
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].
For a point-like mass, the moment of inertia about some axis is given by mr2, where r is the distance to the axis, and m is the mass. For an extended body, the moment of inertia is just the sum of all the small pieces of mass multiplied by the square of their distances from the axis in question.