Rotational Inertia of a Solid CylinderRotationalInertiaOfASolidCylinder2006-03-28 11:22:142006-03-28 11:22:14Definition% this is the default PlanetMath preamble. as your knowledge
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% define commands hereThe rotational inertia or moment of inertia of a solid cylinder rotating about the central axis or the z axis as shown in the figure is
\begin{equation}
I = \frac{1}{2} M R^2
\end{equation}
for other axes, such as rotation about x or y, the moment of inertia is given as
\begin{equation}
I = \frac{1}{4} M R^2 + \frac{1}{12} M L^2
\end{equation}
\begin{figure}
\includegraphics[scale=.6]{SolidCylinder.eps}
\caption{Rotational inertia of a solid cylinder}
\end{figure}
(Proof to come shortly)
\subsection{References}
[1] Halliday, D., Resnick, R., Walker, J.: "Fundamentals of Physics".\, 5th Edition, John Wiley \& Sons, New York, 1997.