- #1

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\begin{equation}

I_{yy} = \int(x^2 + z^2)dm

\end{equation}

where

\begin{equation}

dm = \frac{2M}{R^2 + H^2} q dq

\end{equation}

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

\begin{equation}

z = \frac{Hq}{\sqrt{R^2 + H^2}} ,

\end{equation}

but I am unable to simply relate x to q. I know that

\begin{eqnarray}

\rho^2 = x^2 + y^2\\

\rho = \frac{Rq}{\sqrt{R^2 + H^2}}

\end{eqnarray}

by the way.