An circular object is released from rest at the top of an incline (at maximum height of h = 5 m) and rolls to the bottom of the incline without slipping. Assume the object is a thin loop with the axis of rotation through the center. These are the parameters of the object: mass = 10 Kg; radius = 2 m. (Note: the table below shows the moment of inertia of various objects, including the object asked in this problem)

(a) how fast is the center of mass of the object when it reaches the bottom of the incline (in m/s)? (15 points)

(b) what is the angular frequency at the bottom of the incline? (5 points)