Derive the formula for the mass moment of inertia of an arbitrarily shaped rigid body abou...

Derive the formula for the mass moment of inertia of an arbitrarily shaped rigid body about its mass center based on the body’s period of oscillation τ when suspended as a pendulum. Assume that the mass of the body m is known and that the location of the mass center G is known relative to the pivot point O.

Figure P9.2