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Center of Mass: Plate with hole

  1. Jun 12, 2009 #1
    1. The problem statement, all variables and given/known data

    A uniform circular plate of radius 14 cm has a circular hole of radius 2 cm cut out of it. The center of the plate is at the origin of the coordinate system and the center of the hole is located along the x axis a distance 4 cm from the origin. What is the position of the center of mass of the plate with the hole in it?

    2. Relevant equations

    Center of Mass (x)= (m1x1+m2x2)/(m1+m2)

    3. The attempt at a solution
    This one has me confused. I know that the hole will move the center of mass, but I'm not sure how. Any help would be appreciated! Thanks!
     
  2. jcsd
  3. Jun 12, 2009 #2

    Doc Al

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    Staff: Mentor

    Finding the center of mass of two uniform disks would be easy (I hope you'll agree). How can you represent the plate with hole as two uniform disks? Hint: 1 - 1 = 0.
     
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