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!

Integral Formulas for Center of Mass of Uniform Density

  1. Oct 3, 2011 #1
    1. The problem statement, all variables and given/known data

    I'm being given problems regarding the center of mass of a uniformly dense object, and I am told by the textbook to use:

    [itex]\frac{1}{V}\int x dV[/itex]

    I have no idea what to do with that. I'm pretty sure I won't be learning anything about multiple variable integrals for two years. There must be some other way?

    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Oct 4, 2011 #2

    ehild

    User Avatar
    Homework Helper
    Gold Member

    In case of a "flat" object of uniform thickness H, dV=y(x) H dx. So you need single-variable integrals.

    ehild
     

    Attached Files:

    • cm.JPG
      cm.JPG
      File size:
      3.9 KB
      Views:
      51
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Integral Formulas for Center of Mass of Uniform Density
Loading...