A plane object has moment of inertia I about its center of mass. When pivoted at point

Question:

A plane object has moment of inertia I about its center of mass. When pivoted at point P1, as shown in Figure 14-33, it oscillates about the pivot with a period T. There is a second point P2 on the opposite side of the center of mass about which the object can be pivoted so that the period of oscillation is also T. Show that h1 + h2 = gT 2/4p2.