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Math Help - wave equation

  1. #1
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    Jan 2009
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    wave equation [solved]

    A string is stretched to a tension T and its ends x = 0 and x = L are
    attached to rings of mass M which are free to slide on parallel smooth
    wires which are perpendicular to the string. Show that the transverse
    displacement must satisfy the conditions
    My_tt = Ty_x at x = 0 and My_tt = −Ty_x at x = L,
    and that the normal frequencies are the numbers w/2pi, where
    cot(wl/c) = T/2Mwc ((Mwc/T)^2 - 1)

    I have spent a good few hours going over this and I cant seem to get it right!

    using sepeation of variables I have that y(x,t) = sin npix/l(cos(npict/l) + sin(npict/l)

    but then when I differentiate these and put them in for the initial conditions I cant seem to get anywhere!

    many thanks
    Last edited by James0502; February 8th 2009 at 06:53 AM. Reason: solved
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