### Rigid Body

Find the moment of inertia for the following bodies:
1. A cylinder of mass $M$ radius $R$ and height $H$ rotating about its symmetry axis.
2. A cylinder of mass $M$ radius $R$ and height $H$ rotating about an axis parallel to the symmetry axis and tangent to the surface.
3. A thin square of side $L$ with its diagonal along $x$-axis (mass $M$). Find $I_{xx}$, $I_{yy}$ and $I_{zz}$.