The physical pendulum is an object suspended from some point a distance d from its center of mass. If its moment of inertia about the center of mass is given by: I= Icm + Md2 where d is the distance from the pivot to the center of mass of the pendulum. Consider that some odd-shaped physical pendulum of mass M is suspended from some pivot point and displaced through a given angle θ, then released. If the pendulum has a moment of Intertia I about the pivot, then the differential equation describing its subsequent motion is Id2θ/dt2 = -Mgdsinθ a) Use the above info to justify that for a sufficiently small angular displacement, the physical pendulum oscillates with simple harmonic motion with angular frequency ω = √(mgd/I) SO: I know that I have to follow the argument for a simple pendulum to justify the solution for the physical pendulum. I think that is involves torque, angular acceleration, and/or moments of inertia. I am not sure how to fully justify the angular frequency equation.