1.A physical pendulum is formed by a two-part structure. Onepart is a thin uniform rod of mass 0.72 kg which is free to swingabout an axis at one end. The axis of rotation is perpendicular tothe plane of the rod's swing. The second part of the structure is asmall mass located at the free end of the rod (further from theaxis), which has mass 0.22 kg. Treat the small mass as a pointmass. The rod/mass combination swings with a period of oscillationof 1.4 s. What is the length of the rod in meters?
2.A large, solid sphere (mass = 85 kg) with a radius of 19 cm issuspended by a vertical wire. In order to rotate the sphere aboutthe wire by an angle of 0.67 radians and hold it in thatorientation, a torque of 0.26 Nm is needed. What is the period(inseconds) of oscillation of the rotating system once the sphere isreleased?
