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Find the position of equlibrium

  1. Jan 23, 2017 #1
    1. The problem statement, all variables and given/known data
    From the diagram below find the position of the man (##x##) if the system is in balance. Total length is ##L## and the man is distance ##x## from one end.
    2. Relevant equations
    3. The attempt at a solution

    I know that the system must be in balance if all the torque and all the forces equate to zero. That said i tried this:
    The left tension force i name ##T_1## and the right ##T_2##. And i take the right point as reference point.
    ##\sum M=T*L-mg\frac{L}{2}-Mg(L-x)=0##
    ##\sum F=T+F-(m+M)g=0##
    These equation i know but still cnat express ##x## as i have too many unknowns. Could i eliminate something here?
     

    Attached Files:

  2. jcsd
  3. Jan 23, 2017 #2

    Orodruin

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    Hint: Look at the force equation for the lower pulley and pick a smart reference point for your torque computation.
     
  4. Jan 23, 2017 #3
    That force should equal the tension on the right, right? I picked a reference point to the right so it an be lost. Can you provide another hunt so i can see what you mean?
     
  5. Jan 23, 2017 #4
    I think there is something wrong with your sum of forces equation.
     
  6. Jan 23, 2017 #5

    Orodruin

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    Which force? There are three forces acting on that pulley.
     
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