Masses and inclined plane with friction

[nynja]

Homework Statement

What is the magnitude of the acceleration of the system, and what is the tension on the string.

The setup is there is 2 masses m1 and m2 which are connected by a string. One is on top of a flat horizontal plane, while the other is on an inclined plane with angle 40 degrees.

m1 mass = 2.65kg
m1 static friction = .61
m1 kinetic friction = .47
m2 static friction = .53
m2 kinetic friction = .36
m2 mass = 9. kg


if it matters the picture looks like this

________________
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\
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____________________\m2 is on this incline

Homework Equations

F=ma
F=Fg-Fk

The Attempt at a Solution

I have tried to calculate the acceleration for each of the masses but it is not the right answer I am almost absolutely stuck on this problem. Again I want to understand so a push in the right direction would be perfect

 

[Delta2]

Do for each body a diagram of all the forces and have in mind that the force T from string will be equal in magnitude for both bodies (though T will have different direction, for body 1 will be horizontal while for body 2 will be inclined 40degrees).

For body 1 it will be $$T-.47m_1g=m_1a$$ where a is the acceleration which is common for both bodies.
Find the equation for body 2 and then you ll have two equations with 2 unknowns which are T and a.

 

[nynja]

Thank you for the quick reply :)

So if I understood you correctly the tension for mass 2 is:
T-.36mg sin(40) = m2a

Then do I solve for T in both equations and add them together to get the magnitude?
Same for the acceleration, but if I remember correctly acceleration is the same for the entire system?

Thanks again