A baseball bat of mass M and length L is pivoted at point P. The center of mass of the bat is located at a distance d from the pivot. When the bat is displaced from equilibrium by a small angle θ and released it undergoes SHM. A group of physics students are asked to determine the moment of inertia of the bat with respect to the pivot point P.

If the center of mass of the bat is not given in the problem, how would you set up an additional experiment to measure the center of mass?