A uniform hoop of mass m and radius R is suspended at a point of its circumference and is free to swing in a vertical plane as shown in Fig.1. Assuming that the angle theta is small, find the angular frequency of the hoop's oscillations. (the problem includes computing the moment of inertia of the hoop.)

Problem 1: A uniform hoop of mass m and radius R is suspended at a point of its circumference and is free to swing in a vertical plane as shown in Fig.1. Assuming that the angle O is small, find the angular frequency of the hoop's oscillations. (The problem includes computing the moment of inertia of the hoop.)\f