An infinite rod has an initial triangular-pulse displacement function (eta(0, x)=C-|x|) for (|x|

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An infinite rod has an initial triangular-pulse displacement function \(\eta(0, x)=C-|x|\) for \(|x|

(a) Find the displacement function \(\eta(t, x)\) at later times, assuming all mass points in the rod are initially at rest.

(b) Carry out a Fourier transform of \(\eta(0, x)\) to determine \(g(0, k)\), which shows the degree to which various wavelengths make up the triangular pulse.

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Modern Classical Mechanics

ISBN: 9781108834971

1st Edition

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

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