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Wave velocity on a taut string

  1. Feb 1, 2009 #1
    Consider the flexible string under tension T passing through a
    fixed wiggly tube at speed v.

    At any point, the tube's wiggly curve has a well-defined centre of curvature,
    and associated radius r.

    The acceleration of the string is v^2/r, and the force due to tension T is
    T*dl/r where dl is the length of an element of string. Both directed towards the
    centre of curvature.

    If T*dl/r = m*dl*v^2/r (m being mass/unit length) then there is no need for
    the tube!

    v^2 = T/m and there is no restriction on the waveform.


  2. jcsd
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