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Vibrations problem - Transverse in a string under tension

  1. Feb 14, 2010 #1
    1. The problem statement, all variables and given/known data
    A cord of length L density p and cross-sectional area S is under tension T with the left end fixed and the right end attached to a spring-mass sstem. Show that the equation for the natural frequencies is given by:

    tan(wL/c) = -(T/kL)((wL/c)/(1-(w/w_n)^2))


    2. Relevant equations

    w_n^2 = k/m and c^2 = T/(pS)

    3. The attempt at a solution

    I have tried this but I am really having problems starting this problem out, please help
     
  2. jcsd
  3. Feb 14, 2010 #2

    ideasrule

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    Homework Helper

    Are you sure that equation is right? The natural frequencies are given very simply by f=v/lambda, where v^2=c^2 = T/(pS) and lambda is a half-integer multiple of the pipe's length.
     
  4. Feb 15, 2010 #3
    Yes it is Q.2 on the sheet which I have attached.
     

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