Determining Acceleration of Pulley System w/ Friction

[lexi011]

Homework Statement

Mass m1= (25.70 kg) is on a horizontal surface, connected to mass m2= (5.90 kg) by a light string as shown. The pulley has negligible mass and no friction.
A force of 241.7 N acts on m1 at an angle of 33.30 degrees. The coeficient of kinetic friction between m1 and the surface is 0.237. Determine the upward acceleration of m2.

a picture of the problem and a partial explanation is given here: http://images.google.com/imgres?img...&sa=N&start=36&um=1&ei=TE8wSruPLaXYswO43JzWAw

Homework Equations

How do I find the acceleration?

The Attempt at a Solution

I found the horizontal component of the force pulling the masses. I know F=ma and that F(friction)=mu*normal force. But how do I use that? etc.

 

[rl.bhat]

The acceleration of m2 = ( T - m2g)/m2.
Frictional force = μ( Fsinθ + m1g )
Applied force = Fcosθ - T
Find the net force and acceleration of m1.
Equate it with m2 and find T. Substitute it in one of the equation to get acceleration.