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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Question Posted: Mar 21, 2024 12:01 AM

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

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Modern Classical Mechanics

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