A flat uniform disk of radius 2R has a hole of radius R removed from the center. The resulting annulus is then cut in half along the diameter. The remaining shape has mass M. What is the moment of ...

How might you determine experimentally the moment of inertia of an irregularly shaped body about a given axis?
Using the parallel axis theorem
We note the angular speed and also the system energy. Using these information we calculate the moment of inertia of irregular shaped body.
Io=2E/w2
When we have moment of inertia of irregular shaped body, we can then use parallel axis theorem to solve the moment of inertia if the body about the given axis.
I=Io+md2