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Static Equilibrium Pulley Problem

  1. Feb 1, 2012 #1
    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
     

    Attached Files:

  2. jcsd
  3. Feb 1, 2012 #2

    ehild

    User Avatar
    Homework Helper
    Gold Member

    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
     
  4. Feb 1, 2012 #3

    Hi ehild,

    Thank you! That worked out quite nicely. :)!
     
  5. Feb 1, 2012 #4

    ehild

    User Avatar
    Homework Helper
    Gold Member

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


    ehild
     
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