Statics (smooth pin reaction + tension)

[jegues]

Homework Statement

See figure.

Homework Equations

[tex] \sum F_{x} = 0 [/tex]
[tex] \sum F_{y} = 0 [/tex]
[tex] \sum M = 0 [/tex]

The Attempt at a Solution

See figure (written in my writing).

Are the tensions A and B suppose to be the same? I imagine not because they are at different angles so they have different magnitudes but at the same time tension should be constant over the smooth pulley.

I'm having trouble solving the tension in ADB.

Any ideas?

 

[rl.bhat]

In a single cable different segments must have the tension.
So
T*sinθ1*x1 + Τ*sinθ2*x2 = F*x3.
Now solve for T.
The reaction on the pin is ΣTx.