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Homework Help: Static Equilibrium Problem: A diving board

  1. Feb 12, 2010 #1
    1. The problem statement, all variables and given/known data
    A diving board of length L is supported at a point a distance x from the end, and a diver weighing w_1 stands at the free end . The diving board is of uniform cross section and weighs w_2.

    yf_Figure_11_21.jpg

    Find the force at the support point.

    3. The attempt at a solution

    I used the torque = 0 equation since this has to be an equilibrium, which also means the sum off all forces = 0 as well.

    Net Torque=F_Support(x)-W_2(L/2)-W1(L-x) = 0

    then

    F_support = W_2(L/2)+W_1(L-x)/x

    but that isn't correct
     
  2. jcsd
  3. Feb 12, 2010 #2
    The weight of the board acts at L/2 but that is not the distance from the pivot point.
     
  4. Feb 12, 2010 #3
    How would I find that distance from the pivot point?
     
  5. Feb 12, 2010 #4
  6. Feb 12, 2010 #5
    I gotta Find the force at the end that is held down as well

    Would it be

    Net Torque= -F_down(L)+W_2(x)-W1(L) = 0

    F_down = w_2(x)-w1(L)/L

    ?
     
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