Physics - Rotation Question with Solution | TestHub

The kinetic energy of a rotating body is given by $x=\frac{I{\omega }^2}{2}$ and the angular momentum is given by $\mathrm{y}=\mathrm{I}\omega$, where $\mathrm{I}$ is the moment of inertia, $\omega$ the angular velocity. Therefore, we can write, ${\mathrm{y}}^2=2\mathrm{I}\left(\frac{\mathrm{I}{\omega }^2}{2}\right)=2\mathrm{Ix}$ On re-writing, $I=\frac{y^2}{2x}$