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. Do not integrate the final orbit equation, but explore circular orbits in detail.

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Related Book For  answer-question

Modern Classical Mechanics

ISBN: 9781108834971

1st Edition

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

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