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Center of mass

  1. Oct 11, 2012 #1
    When looking at example 3 in this pdf: http://www.physics.isu.edu/~hackmart/centerofmass.pdf [Broken] where it shows how to find the Center of Mass of a Nonuniform Rod. I was wondering when or what you have to know in order to integrate over dm rather than changing the variables in terms of dx.
    Last edited by a moderator: May 6, 2017
  2. jcsd
  3. Oct 11, 2012 #2


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    The basic relationship is dm = ρdx, where ρ is the density. When ρ varies with x, it is very difficult to work directly with dm.
  4. Oct 11, 2012 #3
    Thank you for the response. Do we approximate dV=dx dm/dv=p
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