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Equilibrium - A rod influenced by multiple rope tensions

  1. Mar 31, 2013 #1
    equilibrium -- A rod influenced by multiple rope tensions

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

    Smooth and identical rod has a weight of P. The rod seems to be in equilibrium with X and Y which has a weight of P. What can be the weight of X according to the values below?(ip means rope)

    P , 6P or 9P


    2. Relevant equations



    3. The attempt at a solution

    I tried to find the torque. First I found the gravity center of the rod. It is 2.5 units from X and 2.5 units from Y. And found the answer as
    2.5P=2.5X and X=P. But according to my book there are 2 values for X. One of them is 6P and the other is P.
     

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    Last edited by a moderator: Mar 31, 2013
  2. jcsd
  3. Mar 31, 2013 #2

    TSny

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    Think about what happens if X gets heavier and heavier. When X reaches a certain weight, the rod will begin to rotate in which direction and about which rope?

    Likewise, think about what happens if X gets lighter and lighter.
     
  4. Apr 1, 2013 #3
    6X=3P+P
    x=2/3
     
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