A thin, circular hoop with a radius of 0.22 m is hanging on a nail. Adam notices that the hoop is oscillating back and forth through small angles like a physical pendulum. The moment of inertia of the hoop for the rotational axis passing through the nail is I = 2mr2. What is the period of the hoop?

Question

A thin, circular hoop with a radius of 0.22 m is hanging on a nail.  Adam notices that the hoop is oscillating back and forth through small angles like a physical pendulum.  The moment of inertia of the hoop for the rotational axis passing through the nail is I = 2mr2.  What is the period of the hoop?

anonymous · Answer

(a)	1.3 s	    (c)	0.59 s	        (e)	0.21 s
(b)	0.94 s	(d)	0.42 s
 
Please show how you get the answer!