Multiple Pulleys and Multiple Weights Problem

[ethancooper]

1. Homework Statement

Solve for T (The force required to keep the pulleys at equilibrium)

See attached image for pulley setup.

2. Homework Equations

W2>W1
N=mg

3. The Attempt at a Solution

Currently I have drawn out all the forces that act on each pulley, and I know there is a way to set up the tensions to solve for T, but since no numerical values are given its a little more complicated.
After applying force diagrams to the hanging weights I got T1=W1g and T3=W2g (with T1 being the tension between Pulley 1 and weight 1, and T3 being the tension between Pulley 2 and weight Which would mean T2=(W2g-W1g)/2, and T2 is the same tension as T, meaning T2 is equivalent to the downward force needed to keep the system at equilibrium. Is this the correct solution?

 

[ethancooper]

for some reason the attachment wouldn't load in original post so here it is again.

 

[haruspex]

That's right, except that if the Ws are weights, not masses, then you don't multiply by g.

 

[ethancooper]

Okay makes sense, thanks for confirming.