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Homework Help: Moment of inertia tensor of hollow cone

  1. Dec 2, 2012 #1
    I am having trouble right now with the same problem (finding Ixx and Iyy).
    I_{yy} = \int(x^2 + z^2)dm
    dm = \frac{2M}{R^2 + H^2} q dq
    and q is my generalized coordinate that is measured from the origin down the length of the cone. I am able to integrate z^2 since it can simply be related to q by
    z = \frac{Hq}{\sqrt{R^2 + H^2}} ,
    but I am unable to simply relate x to q. I know that
    \rho^2 = x^2 + y^2\\
    \rho = \frac{Rq}{\sqrt{R^2 + H^2}}
    by the way.
  2. jcsd
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