Pulley on an inclined plane

[xcrunner448]

Homework Statement

A frictionless pulley connects 2 masses, one of which is on a frictionless inclined plane at angle θ, as shown in the diagram. The pulley system is set up so it has a mechanical advantage of 2 (so that if m₁ moves 1 meter, m₂ will move only 0.5 meters). Find equations that give the acceleration of each mass as well as the tension in the rope in terms of m₁, m₂, θ, and g.

Homework Equations

T=tension in the rope, subscripts indicate which mass the variable is referring to

ΣF₁=m₁a₁=m₁g-T
ΣF₂=m₂a₂=T-m₂gsinθ

The Attempt at a Solution

This problem is easy if it is a simple pully, since both accelerate at the same rate of a=g*(m₁-m₂sinθ)/(m₁+m₂). To get this you just have to add the above two equations and solve for a. But since there is a mechanical advantage of 2, m₁ will accelerate twice as fast as m₂, and thus you cannot simply add the equations to find the acceleration. I am not quite sure how to approach this problem, and any help would be appreciated.

 

[ashishsinghal]

This will help
http://en.wikipedia.org/wiki/Mechanical_advantage
From here you can see the structure of the pulley and then solve accordingly