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Does either rope break?

  1. Oct 8, 2007 #1
    1. The problem statement, all variables and given/known data
    A 1000kb steel beam is supported by two ropes. Each rope as a maximum sustained tension of 6000N. Does either rope break? If so, which one(s)?

    [​IMG]

    2. Relevant equations
    Tension = M cos/sin theta
    (in this case it is cos)

    3. The attempt at a solution
    Rope1 = 6000cos20 = 5638N
    Rope2 = 6000cos30 = 5196N
    W=1000*9.8 = 9800N / 2 = 4900N so no It does not break, but the answer says rope 1 breaks first and then rope 2
     
  2. jcsd
  3. Oct 8, 2007 #2
    the equations you used are wrong. as well as the angles you used.

    you need to use F=ma for the x and y components and you will get 2 equations of 2 variables which you can solve as a matrix or plugging it into your calculator.

    for the x-component the tensions cancel out right?
    and for the y-component the tensions will equal to the weight of the beam?
     
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