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Thin Plates with Constant Density (Calculus II)

  1. Oct 8, 2009 #1
    Thank you in advance for the help!

    1. The problem statement, all variables and given/known data

    Find the center of mass of a thin plate of constant density (delta) covering the given region.
    The region bounded by the parabola y= x - x2 and the line y= -x



    2. Relevant equations

    See attachment question 15 p1

    3. The attempt at a solution

    See attachment question 15 p2
     

    Attached Files:

  2. jcsd
  3. Oct 9, 2009 #2
    I like your last solution on attachment 2 except...
    Integral from 0 to 2 (x-x^2-x) dx is not Int (2x - x^2) dx
    I think you just have an algebra mistake there.
     
  4. Oct 10, 2009 #3
    Thank you, well it was x-x^2-(-x). So, I added the double negative to the other x. Thats how I was able to get 2x.


    Are these forumulas a certified way to find the center of mass?
     
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