Normal Modes of a Beaded String

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This Demonstration shows the transverse normal modes of oscillation for a string with equally spaced beads. It is assumed that the string consists of a series of massless idealized rectilinear segments that obey Hooke's law with fixed ends. If the string has beads, then it has modes of vibration. The number of times that the string passes through the equilibrium axis in the mode is equal to , with maximum value . When the number of beads is large, the system approaches the behavior of a continuous string.

Contributed by: Enrique Zeleny (March 2011)
Open content licensed under CC BY-NC-SA


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