elastic string

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A string that can be extended, but not compressed, and that resumes its natural length as soon as the forces applied to extend it are removed. How the tension in the string varies with the extension may be complicated. In the simplest mathematical model, it is assumed that the tension is proportional to the extension; that is, that Hooke's law holds. A particle suspended from a fixed support by an elastic string performs simple harmonic motion in the same way as a particle suspended by a spring does, provided that the amplitude of the oscillations is sufficiently small for the string never to go slack.

Subjects: Mathematics.

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