What are the forces and torques acting on the masses and pulley in this system?

[lockedup]

Homework Statement

A mass $$m_{1}$$ is hanging from a light cord which is strung over a pulley of moment of inertia, I, and radius $$R_{0}$$ and connected to a mass $$m_{2}$$ which is sliding on a rough horizontal surface with coefficient of friction $$\mu_{k}$$.

a) What is the acceleration of the system?
b) What are the tensions in each part of the cord?

All help is appreciated! :)

Homework Equations

$$\Sigma$$F = ma
$$\Sigma\tau$$ = m$$R^{2}\alpha$$

The Attempt at a Solution

I started by trying to sum up all the forces and torques but I don't know where to go from there.

$$\Sigma F_{x} = T - \mu m_{1}g = (\mu m_{1} + m_{2})g = ma$$
$$\Sigma F_{y} = T = m_{2}g$$
$$\Sigma \tau = rF_{x} + rF_{y}$$

 

[ideasrule]

Always start by drawing a free-body diagram on each object, including the pulley, and writing out Newton's second law for each object.