Question

consider a solid sphere of uniform density, total mass m and radius r that is rotating about the axis shown, which lies along its outer edge. what is the moment of inertia about this axis?

Answer 1

Ic = 2/5 M R^2 moment of inertia of sphere about center

I = Ic + M R^2 = 7/5 M R^2

Where M R^2 is the inertia added by the parallel axis theorem.