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Homework Help: Centroid of a parabolic wire

  1. May 7, 2005 #1
    I know I'm making this more difficult than it needs to be. I need to find the centroid of a wire bent into the shape of a parabola, defined to be y=x^2 with -2<X>2 and 0<y>4. Obviously due to symetry X-bar =0... but what's y-bar?? No dimensions are given for the width of the wire, so I assume it is not needed. I'm guessing it has something to do with arc length... I'm still lost though.

    Thanks everyone.
     
  2. jcsd
  3. May 7, 2005 #2
    Using Pappus second theorem is probably the easiest way to solve this... :)
     
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