Solving Tension in Massless, Frictionless Pulley System

[jdroidxw]

Homework Statement

What is the tension T? The pulley is massless and frictionless.
m1=661 g, w2=5 N, g=9.8 m/s²
Picture attached

Homework Equations

T=w1+w2 ??

The Attempt at a Solution

First of all, I converted 661 g into kg. Next I multiplied that by g. I added that value to the 5N and I thought that was the T which was wrong.

 

[Spinnor]

If you draw a free-body diagram you don't have to think as hard IMO. See the attached.

 

[jdroidxw]

Where did you get the 2T' from?

 

[Spinnor]

I drew a free-body diagram for both masses. The tension T will not be the same as the tension in the other rope. Do the two free-body diagrams I drew make sense?