Compute the moment of inertia matrix of a solid circular cylinder of height (H) and base radius

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Compute the moment of inertia matrix of a solid circular cylinder of height \(H\) and base radius \(R\), and of uniform mass density \(ho=ho_{0}\). In this expression, the cylinder is arranged so that its symmetry axis is along the \(\mathrm{z}\) axis and its top cap sits on the \(x, y\) plane; i.e., the cylinder extends from \(z=-H\) to \(z=0\). Compute all entries of the moment of inertia matrix with respect to the origin in this configuration.

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Modern Classical Mechanics

ISBN: 9781108834971

1st Edition

Authors: T. M. Helliwell, V. V. Sahakian

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