How Do You Solve for Acceleration in a Two-Mass Pulley System?

[sheri1987]

Homework Statement

Mass m1=28.1 kg is on a horizontal surface, connected to mass m2= 6.70 kg by a light string as shown. The pulley has negligible mass and no friction. A force of 231.3 N acts on m1 at an angle of 29.5o.

Homework Equations

I can't seem to get the correct answer for this one.
I get this equation for the horizontal forces on m1:

m1a = Fcos(theta) -T -ukm1g +ukFsin(theta)

And this one for the vertical forces on m2:

m2a = T -m2g

I can combine these equations and solve for a, but that
doesn't seem to be working out for me. Any suggestions?

The Attempt at a Solution

I plugged in all of the numbers, but it does not seem to be working out

 

[learningphysics]

Seems right to me. What is the coefficient of friction? What number do you get for a?

 

[jeremy04]

you posted this on lon capa too.. how did you get T ??