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Homework Help: Quarter cylinder dam gate

  1. Sep 3, 2013 #1
    This is a picture of a quarter cylinder dam gate with a hinge at A and a stopper at B.
    [Broken]
    I need to find the force on the stopper at B as a function of the radius (R) and height of the water (h). I was going to do this by working out the moments around the hinge at A. I can solve for pressure forces and weight forces of the gate but I don't know the normal force from the ground. The hinge will have a force in the y direction so it will affect the normal force. I also don't know where to position my normal force, is it always going to be 1/2 of R or will it go through the combined centre of mass of gate and water above?
     
    Last edited by a moderator: May 6, 2017
  2. jcsd
  3. Sep 3, 2013 #2
    Alternatively am I thinking about this problem in the wrong way and need to try a different method to find the force on the stopper?
     
  4. Sep 3, 2013 #3
    Does the gate really touch the ground? Perhaps it only touches the stopper?
     
  5. Sep 4, 2013 #4
    Thanks, I spoke to the lecturer today and he said that the reaction from the ground is zero.
     
  6. Sep 4, 2013 #5
    So, can you proceed with the solution then?
     
  7. Sep 4, 2013 #6
    Yes, I'm fine now.
     
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