A particle of mass (m) slides inside a smooth paraboloid of revolution whose surface is defined by

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A particle of mass \(m\) slides inside a smooth paraboloid of revolution whose surface is defined by \(z=\alpha ho^{2}\), where \(z\) and \(ho\) are cylindrical coordinates.

(a) Write the Lagrangian for the three-dimensional system using the method of Lagrange multipliers.

(b) Find the equations of motion.

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Modern Classical Mechanics

ISBN: 9781108834971

1st Edition

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

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