Solving for Mass M1 in Physics Problem Involving Pulley

[lanzjohn]

Homework Statement

M1 and M2 are two masses connected as shown. The pulley is light and frictionless. Find the mass M1, given that M2 (7.00kg) accelerates downwards at 2.43m/s2, that the angle theta is 15.0o, and that muk is 0.560.

Homework Equations

(Read below)

The Attempt at a Solution

I was sick the day we went over this and the notes I got do not tell me very much. That is why I have no attempts at this problem. Basically what I need is some guidance on where to start and how to find the equation needed for this problem. I am lost with where to start.

Thank you all for your help,
John

 

[Fragment]

What is the sum of the forces in the y direction for M2? What are the sums (in x and y) for M1? Can you relate those equations together?