A thin, rectangular sheet of metal has mass M and sides of length a and b. Find the moment of inertia of this sheet about an axis that lies in the plane of the plate, passes through the center of the plate, and is parallel to the side with length b. Why is the answer 1/12 Ma^2? I get 7/12Ma^2 using the parallel axis theorem

Question

anonymous · Answer

The parallel axis theorem is not the way to go here.

anonymous · Answer

Just integrate it and you'll see.