D. Suppose that the center of mass of a uniform plate is at (0,0), and that the plate has total mass m. Show that its moment of inertia about an axis perpendicular to the ry-plane at the point (ro,...

Extracted text: D. Suppose that the center of mass of a uniform plate is at (0,0), and that the plate has total mass m. Show that its moment of inertia about an axis perpendicular to the ry-plane at the point (ro, Yo) is I = 1, + m(r² + v where I. is the moment of inertia about (0,0). (This is a version of the theorem of parallel axes from mechanics. This theorem, along with a table of moments of inertia for standard shapes given in most books, allows us to quickly find the moment of inertia around other axes as needed.)