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Diving board question

  1. Jul 12, 2007 #1
    1. The problem statement, all variables and given/known data

    The diving board shown in figure has a mass of 35kg. O = 65kg diver

    [1.2m] [3.9m] O
    --------------------
    l l
    A B

    A) Find the magnitude of the force on the support A when a 65kg diver stands at the end of the diving board.
    B) Find the magnitude of the force on the support B.

    2. Relevant equations

    T = F x d

    3. The attempt at a solution

    For A), do I find the center of mass of the board and multiply that by 65kg and 9.8?
    For B), is it the total distance x gravity x mass of diver?

    Please correct me if I'm wrong. Thank you so much!
     
  2. jcsd
  3. Jul 12, 2007 #2
    Note: The length from A to B is 1.2m, and from B to O is 3.9
     
  4. Jul 13, 2007 #3

    andrevdh

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    Homework Helper

    A) You can solve for the force at A by equating the moments about B.
    The force at A should be vertically downwards since the board need to be pulled down at this point in order to keep it horizontal. The force at B will be vertically upwards since the support at B need to support the weight of the diver and the board.

    So in summary the moment of the force at A should be equal to the sum of the moments of the weight of the board and the moment of the weight of the diver all about point B.
     
    Last edited: Jul 13, 2007
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