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Homework Help: Finding the center of mass by integration.

  1. Jun 2, 2008 #1
    1. The problem statement, all variables and given/known data
    Show that the center of mass of a uniform semicircular disk of radius R is at a point 4R/(3(pi)) from the center of the circle.

    2. Relevant equations
    Total mass Center of mass = M rcm = m1r1 + m2r2 + ...

    3. The attempt at a solution
    I do not know how to apply integration to this problem to find the center of mass. Help, please?
  2. jcsd
  3. Jun 2, 2008 #2


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    Don't you have any integral expressions for center of mass?
  4. Jun 3, 2008 #3


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    Hi tfmfyn! :smile:

    Hint: divide the semicirce into slices of thickness dz parallel to the base, find the mass of each slice, and integrate … something … over dz. :smile:
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