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Vector Components

  1. Sep 11, 2013 #1
    1. The problem statement, all variables and given/known data
    two wires are used to suspend a sign that weighs 500N. the two wires make an angle of 100 degrees between each other. If each wire is exerting an equal amount of force, how much force does each wire exert?


    2. Relevant equations



    3. The attempt at a solution
    The answer is 389.. but I don't understand how to get that.. Can someone please explain. Thanks
     
  2. jcsd
  3. Sep 11, 2013 #2

    cepheid

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    Draw a free body diagram for the sign. What are ALL the forces that act on it? Since the sign is not moving, what must be true about the vector sum of these forces? Now pay attention to the vertical components of those forces...how would you use trigonometry to figure out what these are?
     
  4. Sep 12, 2013 #3
    Also note, that both wires are exerting equal force. Exploit symmetry.
     
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