Moment of inertia for compound pendulum with rod and disc

[jhae2.718]

I'd also try and derive the moment of inertia expressions from $I = \int\!r^2 dm$. It's a fun little exercise that will help you understand why the expressions are as they are. It will also show you the power of the parallel axis theorem. There's also the perpendicular axis theorem, which I recall doesn't get much exposure in introductory mechanics classes.