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A note on small vibrations
Published online by Cambridge University Press: 20 January 2009
Extract
This note exhibits some old results in what is possibly a new form.
The simple harmonic oscillator, whose kinetic and potential energies are given in terms of a single coordinate x by
where b is a positive constant, has the equation of motion
The solution, appropriate to the initial conditions at t = 0 is conveniently written
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- Copyright © Edinburgh Mathematical Society 1942