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Equilibrium in 3 dimensions

  1. Oct 6, 2012 #1
    1. The problem statement, all variables and given/known data
    A 100kg mass is supended by 3 ropes. one rope is attached at a point 1mxˆ + 1myˆ, one is attached at 1mxˆ - 1myˆ and one is attached at -4mxˆ. The three ropes all connect at -1mzˆ, at which point the mass is attached. What is the tension T in the rope attached at -4mxˆ?



    2. Relevant equations
    Fnet=0
    Fg=mg


    3. The attempt at a solution
    I have no idea how to do this. Do I need to find the angles in between each rope?
     
  2. jcsd
  3. Oct 6, 2012 #2
    You should represent the tension of each rope vectorially. Which is not hard, as you are given the coordinates of each rope's endpoints, and the rope is a straight line between the endpoints.
     
  4. Oct 6, 2012 #3
    If you bother with the angle and different planes, you could, but it is more convenient to solve this with vectors.
    First, you need to set up vector equations for the 4 forces involved.
    Since you can work out the direction of each Force vectors, the magnitudes are the 3 unknowns.
    Then, all of the Force vectors add up to a null vector. In other words, forces in each direction (i,j,k) add up to 0.
    And by then you are left with 3 equations for 3 unknowns.
     
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