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Force to open the gate

  1. Apr 30, 2016 #1
    1. The problem statement, all variables and given/known data
    the gate is 3m wide , is hinged at point A , and rests against a smooth wall at B . Calculate the force on the gate due to seawater pressure and horizontal force exerted by wall at B . I have attached the sample answer below . I dont understand why the author use FH(6 ) instead of FH(10)
    HmiBciz.png
    1CaoYN8.png

    2. Relevant equations


    3. The attempt at a solution
    IMO , it should be FH(10) , am i right ? 10 is the distance from A to B
     

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  2. jcsd
  3. Apr 30, 2016 #2

    haruspex

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    In what direction does FH act?
     
  4. Apr 30, 2016 #3
    Horizontal
     
  5. Apr 30, 2016 #4

    haruspex

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    Right, so how do you find its moment about A?
     
  6. Apr 30, 2016 #5
    Ok, I forgot it's horizontal force
     
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