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Tension of Two Ropes on an Object

  1. Nov 5, 2009 #1
    1. A 1400kg steel beam is supported by two ropes. Find the tension of each rope.
    Rope 1 is 20 degrees from the vertical axis and Rope 2 is 30 degrees from the vertical axis.

    e21c8a82b2294c4cf4ae594ecb26ccd84g.jpg


    2. I am getting lost trying to find the vector components of each rope. More specifically, I am having trouble solving the system of equations as I can't remember the last time I've done this.

    Here's my set-up:
    T1cos(20) + T2cos(30) = 13720
    T1sin(20) + T2sin(30) = 0

    When I solve the system of equations I get T1=39505 and T2=-27023. These do not seem to be the correct answers according to MasteringPhysics, and if I'm not mistaken they don't make sense either.

    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Nov 5, 2009 #2

    ehild

    User Avatar
    Homework Helper
    Gold Member

    The horizontal components of the tensions are opposite.

    T1sin(20) - T2sin(30) = 0

    ehild
     
  4. Nov 6, 2009 #3
    Thank you ehild, that did it.
     
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