Static Equilibrium Pulley and free body diagram

[sharp12]

Homework Statement

Attached is the picture of the problem and my free body diagram.
The system is in equilibrium.

Homework Equations

Fy = 0 Fx = 0

The Attempt at a Solution

I'm having trouble solving the two equations that I arrive with...

I use +x to the right, and +y up.

For the forces in x: -T_acCos(60) + T_acCos(20) - 2000Sin(theta) = 0

For the forces in y: T_acSin(60) + T_acSin(20) - 2000Cos(theta) = 0

When trying to solve these two equations, I tried adding them together and setting them equal to each other but I've had no luck. What am I doing wrong or missing here?

 

[ehild]

Hi sharp,

I guess you need to find theta and the tension so as the pulley is n equilibrium.

Your equations look correct. Move the term with theta on the other side, then divide the equations: the tension will cancel and you can solve for theta.

ehild

 

[sharp12]

Hi sharp,

I guess you need to find theta and the tension so as the pulley is n equilibrium.

Your equations look correct. Move the term with theta on the other side, then divide the equations: the tension will cancel and you can solve for theta.

ehild

Hi ehild,

Thank you! That worked out quite nicely. :)!

 

[ehild]

You are welcome. I was really pleased with your suggestive pictures. Remember the method. ehild