A massive particle moves under the acceleration of gravity and without friction on the surface of an

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A massive particle moves under the acceleration of gravity and without friction on the surface of an inverted cone of revolution with half angle \(\alpha\).

(a) Find the Lagrangian in polar coordinates.

(b) Provide a complete analysis of the trajectory problem. Use Noether charge when useful.

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Modern Classical Mechanics

ISBN: 9781108834971

1st Edition

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

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