Finding tension in a pulley system with a rotating bar

[EmmaJ1989]

Homework Statement

Homework Equations

Moment of Inertia at one end of a bar = mL^2/3
Sum of Moments around point A = Moment of Inertia at point A x angular acceleration (alpha)

The Attempt at a Solution

I have a few different equations with the variables replaced accordingly but I am having trouble finding the tension holding the bar up due to the mass on the other side of the pulley.

Thanks!
Emma

 

[calimechengr]

Draw free body diagrams and use your equations for f=ma