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Inertia tensor

  1. Apr 27, 2006 #1
    I need to find the inertia tensor for a uniform thin hollow cone,spinning about its ponted end.

    When the cone is solid then everything goes very smoothly by using cylindrical polar coordinates. But how should I find if it is a hollow cone. To be able to write the density of the cone I have to use the area of the cone and when I want to find ( Izz ) I need to write the dm=density.dv but how am I going to write the dA in cylindrical polar coordinates . If I could find the Izz then I could jump into finding of Iyy and Ixx and the products of inertia must be 0 because of the symmetry.

    please help
    thanks
     
    Last edited: Apr 27, 2006
  2. jcsd
  3. Apr 27, 2006 #2

    Physics Monkey

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    You can easily find the result for a spinning ring of a certain radius. Try breaking the hollow cone up into a series of rings and integrating.
     
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