A pendulum of mass \(m\) and mass moment of inertia \(I_{O}\) is suspended from a hinge, as shown in Figure 2.63. The center of gravity is located a distance \(h\) from the hinge. For small oscillations, the period equals \(T\). Suppose the pendulum swings with an amplitude of angle \(\theta\) from the vertical. Find the force exerted on the hinge when the pendulum is

(a) at its maximum rotation and

(b) at its vertical position.

Transcribed Image Text:

O! h nm, -m, lo Figure 2.63: A compound pendulum.