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Center of Gravity in a Horizontal Cylinder with Water

  1. Nov 7, 2012 #1
    1. The problem statement, all variables and given/known data
    I need to find the center of gravity of a horizontal cylinder that has water in it, the level of water changes so I need to determine a relation between the diameter occupied by the water and the masses, those are my guesses.

    I solved the problem where i have the standing cylinder where the C of G depends of the height of the water.

    I added an attachment where you can see the formulas i used.

    2. Relevant equations

    How can I make a similar relation with the horizontal cylinder?

    3. The attempt at a solution

    Maybe using D as the variable instead of h?

    m0 = ( (D2∏h)/4 )* ρ

    where D2 = variable

    and ∏h/4 = constant?

    sorry if the answer is obvious, I'm really bad at physics $:
    1. The problem statement, all variables and given/known data

    2. Relevant equations

    3. The attempt at a solution

    Attached Files:

  2. jcsd
  3. Nov 7, 2012 #2


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    If the cylinder is on its side, try setting up the problem from scratch. I don't think trying to manipulate calculations for a vertical cylinder will be very easy.
  4. Nov 7, 2012 #3


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    The horizontal position is obvious so that leaves the vertical position...

    You just need to find the center of area of the area under a chord of a circle.
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