Sam wraps a string around the outside of a 0.040 m-radius 0.20 kg solid cylinder and utilizes it like a yo-yo. When released, the cylinder accelerates downwards at 2/3 g.
1. Draw a force diagram for the cylinder and apply the translational form of Newton's second law to the cylinder in order to decide the force that the string exerts on the cylinder.
2. Decide the rotational inertia of the solid cylinder
3. Apply the rotational form of Newton's second law and decide the cylinder's rotational acceleration.