# Static Equilibrium Pulley Problem

1. Feb 1, 2012

### sharp12

1. The problem statement, all variables and given/known data
Attached is the picture of the problem and my free body diagram.
The system is in equilibrium.

2. Relevant equations

Fy = 0 Fx = 0

3. 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: -TacCos(60) + TacCos(20) - 2000Sin(theta) = 0

For the forces in y: TacSin(60) + TacSin(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?
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

File size:
6.9 KB
Views:
285
File size:
1.5 KB
Views:
219
2. Feb 1, 2012

### 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

3. Feb 1, 2012

### sharp12

Hi ehild,

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

4. Feb 1, 2012

### ehild

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

ehild