A particle of mass (m) moves in one dimension subject to a force (F) of constant magnitude,

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A particle of mass \(m\) moves in one dimension subject to a force \(F\) of constant magnitude, but directed toward the left for positive \(x\) and to the right for negative \(x\). Thus the potential energy has the form \(U=k|x|\) for some constant \(k\). Using action-angle variables, find the frequency of oscillation as a function of the particle's energy.

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Modern Classical Mechanics

ISBN: 9781108834971

1st Edition

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

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