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Find the COG of two cubic curves

  1. May 11, 2012 #1
    The first part of the question asks to find the COG of the curve y=[1-x]*x^2 in the interval x=0 to x=1

    I found that correctly as (0.6,0.0571)

    The next part asks to find the COG of another cubic curve y=x[1-x]^2
    But without using integration but by using the result of the first part of the question.

    I have absolutely no clue of how to proceed forward.
    Please help.
    I have tried drawing both curves but it was of no use.
     
  2. jcsd
  3. May 11, 2012 #2

    LCKurtz

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    Look at your graphs again. One of them is the reflection of the other in the line ##x=1/2##. Another thing to notice is if you replace ##x## by ##1-x## in one graph it gives the other. You should be able to use these observations for a shortcut.
     
  4. May 11, 2012 #3

    Mark44

    Staff: Mentor

    What is COG?
     
  5. May 11, 2012 #4

    LCKurtz

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    I assume "center of gravity".
     
  6. May 11, 2012 #5

    sharks

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    I'm still debating between "Canberra Ornithologists Group" and "Canadian Organic Growers".
     
  7. May 11, 2012 #6
    Thanks, I got it....you are a genius (@lckurtz)
     
  8. May 11, 2012 #7
    FYI, it is centre of gravity,centre of mass, centroid
     
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