Question 5 (Challenge Problem"): A very thin disk is revolving around an axis going through P on the plane of the paper. (think of drilling a hole in the disk close to the circumference and make it revolve on your nger]. It has mass M which is uniformly distributed over the disk. The radius is R. P is a point on the circumference. Calculate the moment of inertia for the disk without using parallel axis theorem. (Hint: Where should you put your origin of the coordinate system? At the center of the disk or at P.) Answer: I = EMRZ