A string of length L and total mass M is stretched to a tension T. What are the frequencies of the three lowest normal modes of oscillation of the string for transverse oscillations? [I get this part-- the answer is 1v, 2v, and 3v where v=T/4ML]

Compare these frequencies with the three normal mode frequencies of three masses each of mass M/3 spaced at equal intervals on a massless string of tension T and total length L.

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Let length of the string be L mass be M and tension be ... View the full answer