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Homework Help: Force exerted by water on gate

  1. Mar 25, 2009 #1
    1. The problem statement, all variables and given/known data


    the gate is connected by a hinge at point A and a force holds it shut at point C

    water density [tex]\rho[/tex]=1000 kg/m[tex]^{3}[/tex]

    width of the gate is 1m (into page)

    2. Relevant equations

    F = [tex]\sqrt{F_{h}^{2} + F_{v}^{2}}[/tex]
    F = [tex]\rho[/tex]ghA

    3. The attempt at a solution

    i'm guessing to find the force due to the water i have to look at the horizontal and vertical components.. but i havent had an example before where the gate isnt just one straight line! nor one with water under the gate.. so i'm a bit lost as to what to do?

    thanks for the help
  2. jcsd
  3. Mar 25, 2009 #2


    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    Hi sita,
    Welcome to the board. Do you know how to find the resultant normal force on each section? You have 3 sections, so reduce the force on each section to a single resultant force. Once you do that, you can find moments around a single point as well as sum forces vertically and horizontally. Does that help?
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