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A stretched string of length L is plucked at a position L/3 by producing an initial...

A stretched string of length L is plucked at a position L/3 by producing an initial displacement h and then releasing the string. Determine the resulting amplitudes for the fundamental and the first three harmonic overtones. Sketch the wave shapes of these individual waves and the shape of the string resulting from the linear combination of these waves at t = 0. Repeat for t = L/c, where c is the transverse wave speed on the string.

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