Finding the center of mass by integration.

  • Thread starter tfmfyn
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  • #1
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Homework Statement


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.


Homework Equations


Total mass Center of mass = M rcm = m1r1 + m2r2 + ...


The Attempt at a Solution


I do not know how to apply integration to this problem to find the center of mass. Help, please?
 

Answers and Replies

  • #2
Dick
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Don't you have any integral expressions for center of mass?
 
  • #3
tiny-tim
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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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