1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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


    User Avatar
    Science Advisor
    Homework Helper

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


    User Avatar
    Science Advisor
    Homework Helper

    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:
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook