A string of length L, which is clamped at both ends and has a tension T,...

 

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A string of length L, which is clamped at both ends and has a tension T, is raised a distance h at its center and released, as shown: L h (a) What is the energy of the subsequent oscillations? (b) Find the Fourier series of the disturbance shown above (this is at t = 0). (c) Use your favorite plotting tool to plot the summation of the first 3 nonzero terms of the Fourier series you derived in part (b). (d) Repeat part (c) showing the first 8 nonzero terms of the Fourier series. A string of length L, which is clamped at both ends and has a tension T, is raised a distance h at its center and released, as shown: L h (a) What is the energy of the subsequent oscillations? (b) Find the Fourier series of the disturbance shown above (this is at t = 0). (c) Use your favorite plotting tool to plot the summation of the first 3 nonzero terms of the Fourier series you derived in part (b). (d) Repeat part (c) showing the first 8 nonzero terms of the Fourier series.