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Formula of object immersed in water

  1. Feb 25, 2016 #1
    1. The problem statement, all variables and given/known data
    why the y ſ P dA will equal to P yc A ? why not P (yc^2) A ? since yc = ſ y dA / A

    2. Relevant equations


    3. The attempt at a solution
     

    Attached Files:

  2. jcsd
  3. Feb 25, 2016 #2

    haruspex

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    It comes from the definition of yc at 3-18.
     
  4. Feb 25, 2016 #3
    according to 3-18 , i would get P (yc^2) A instead of P (yc) A ... am i correct ?
     
  5. Feb 25, 2016 #4

    haruspex

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    No.
    3-18 defines ##y_c=\frac 1A\int_AydA##. So at 3-20, ##P_0\int_AydA=P_0Ay_c##.
    How do you get yc2 terms?
     
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