Static Equilibrium Pulley and free body diagram

AI Thread Summary
The discussion revolves around solving equations for a static equilibrium pulley problem. The user presented their free body diagram and equations for forces in both x and y directions, indicating difficulty in solving for the angle theta and tension. A suggestion was made to rearrange the equations to isolate theta, allowing for the cancellation of tension terms. This approach proved successful for the user, leading to a resolution of their problem. The exchange highlights the importance of methodical problem-solving in physics.
sharp12
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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: -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?
 

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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
 
ehild said:
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. :)!
 
You are welcome. :smile: I was really pleased with your suggestive pictures. Remember the method. ehild
 
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