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Symmetric object prove principle axis goes through CM

  1. Feb 17, 2008 #1
    1. The problem statement, all variables and given/known data
    c) For such a "symmetric" object, prove that any axis going through the center of mass is a principal axis.


    2. Relevant equations
    [​IMG]


    3. The attempt at a solution

    I am not sure how they want me to prove this. I was looking at the Displacement Axis Thm but I am not sure how to use it, or appropriate for this problem.

    Thanks in advance.
     
  2. jcsd
  3. Feb 18, 2008 #2

    clem

    User Avatar
    Science Advisor

    The tensor of inertial you have is a sum of that for a stick and that for a disk.
    Each of these has all principal axes through the center.
     
  4. Feb 18, 2008 #3
    Thank you for your reply,

    Is there a way to prove this with math?
     
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