How Do You Calculate Tension in a Frictionless Pulley System?

[Arnoldjavs3]

1. Homework Statement
Calculate the tension in the cable connecting the two masses. Assume all surfaces are frictionless.

http://tinypic.com/r/20jg36s/7

2. Homework Equations



3. The Attempt at a Solution
I tried to begin the solution but came out with a negative acceleration (-2m/s^2)
For the 5 kg mass:
Ft-Fg2sin60=ma
Ft-(5)(9.8)sin60=5a
Ft-49sin60=5a
I wasn't sure how to get the equation for the 6 kg mass...
1. Homework Statement



2. Homework Equations



3. The Attempt at a Solution

 

[Orodruin]

Why would the equation for the 6 kg mass be more difficult than that of the 5 kg one? The same principles apply. Just make sure you relate the string tensions and accelerations properly according to your conventions and you should be able to solve it.

 

[Arnoldjavs3]

But I'm on the right path here?

 

[mafagafo]

Get Fg1 * sin(60 degrees) and Fg2 * sin(70 degrees) and then determine the magnitude and direction of the tension force.