A uniform disk of unknown mass M and radius R = 10 cm is free to rotate about its axis. A light cord is wrapped around the rim on the disk and then tied to a small can of mass m = 50 gm. The cord does not slip as it unwinds on the disk. When released the can moves down with acceleration 3.27 m/s2. Take g = 9.81 m/s2.

1. What is the angular acceleration of the disk?

(a) 0 rad/s2
(b) 8.2 rad/s2
(c) 65.4 rad/s2
(d) 16.4 rad/s2
(e) 32.7 rad/s2

2. What is the tension in the string?

(a) 0 N
(b) 0.164 N
(c) 1.308 N
(d) 0.327 N
(e) 0.654 N

3. What is the mass of the disk?

(a) 0.8 kg
(b) 0.2 kg
(c) 0.4 kg
(d) 0.1 kg
(e) 0.6 kg