fourier series example 2Fourier series example 2
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:
(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.
2. Fourier series example 2
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
(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.