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Statement of a problem № 3487

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(a) Show that when a string of length L plucked at the centre through height h, the energy in the nth mode is given by En = 16 Mh^2v^2/n^2pi^2L^2, where v is the wave velocity and M is the total mass of the string. (b) Compare the energies in the first and the third harmonics of a string plucked at the centre.

Solution:
(a)  Show that when a string of length L plucked at the centre through height h,

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