Rotational Kinematics/Tension Problem

[Skoob]

Homework Statement

A cylinder of known mass M, radius R, and rotational inertia I is placed on an inclined plane with angle θ. A string is wound around the cylinder and pulled up with a tension T parallel to the inclined plane. The coefficient of static friction is large enough to prevent slipping.

a) Find the tension T needed to keep the cylinder in equilibrium
b) Find the acceleration of the cylinder if the tension is known and is different from T.

Homework Equations

The Attempt at a Solution

 

[Herman Trivilino]

Please finish the template by filling in parts 2 and 3. You can't just post the question and expect to get any help. You have to meet us half way.