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Our first example of a continuum mechanical system is a stretched stringStretched string free to execute small vibrations in a direction transverse to that in which it is stretched. A vina (veena), sitar or guitar string or a rubber band are possible realizations. The equation of motion for small fluctuations in the height of a stretched string, known as the d’Alembert wave equation, turns out to be universalUniversalequation.

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Vibrations of a Stretched String and the Wave Equation

  • 章节

  • 发表日期：

    2025年

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  • Govind S. Krishnaswami

摘要

Our first example of a continuum mechanical system is a stretched stringStretched string free to execute small vibrations in a direction transverse to that in which it is stretched. A vina (veena), sitar or guitar string or a rubber band are possible realizations. The equation of motion for small fluctuations in the height of a stretched string, known as the d’Alembert wave equation, turns out to be universalUniversalequation.