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Calculating Volume With Center of Mass

  1. Mar 7, 2013 #1
    I remember seeing a way to do this, can someone link me to some relevant material or post a proof and equation?

    Thanks
     
  2. jcsd
  3. Mar 7, 2013 #2

    SteamKing

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    Your request is a little ambiguous. Do you want to calculate the centroid of a volume or do you want to calculate the center of gravity of a mass? The two may not necessarily be the same.
     
  4. Mar 7, 2013 #3
    I'm sorry. I mean: given a function, f(x) and rotating it around the x-axis. Can you find the volume of this function using the centroid/center of mass (I was told these are the same...)?
     
  5. Mar 7, 2013 #4

    SteamKing

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    You want to look up the Theorems of Pappus.
     
  6. Mar 8, 2013 #5
    So it is:
    [tex]2\pi A\bar{x}[/tex]
    Where A is the area between 2 curves and x bar is the center of mass.
     
  7. Mar 8, 2013 #6

    SteamKing

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    x-bar is the centroid of the area being revolved, measured with respect to the axis of revolution.
     
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