certain object (shown at right) composed of a solid sphere and a solid cylinder, both of mass 15 kg and radius 0.5 m, connected by a rod of length 2 meters and mass 5 kg. In the picture, the sphere is on the right. The object is initially oriented in the vertical plane as shown and then released. Gravity then causes it to rotate clockwise I i : around an axis through the center of the cylinder. 50 cm ' "l T" ' ' ' ' 2-0 m ' ' ' +: The center of mass of this object is located 1.5 m from the axis. 1 What vertical distance has the object's center of mass dropped by the time it has rotated 90? Answer: 1.5 m 2 What is the change in the object's gravitational potential energy as it rotates 90? Answer: -514.5 J 3 What is the moment of inertia of the object? Answer: 1 = 1.88 + 12.92 + 136.50: 151.3 kg-mZ 4 What is the angular speed of the object by the time it has rotated 90? Answer: 2.61 rad/s 5 What is the speed of the center of the rod section of the object by the time it has rotated 90? Answer: 3.91 m/s 6 What is the speed of the center of the rod section of the object by the time it has rotated 45? Answer: 3.29 m/s