Question: A tightly stretched, flexible, uniform string has its ends fixed at the points x = 0 and x = l. Themidpoint of the string is

A tightly stretched, flexible, uniform string has its ends fixed at the points x = 0 and x = l. The midpoint of the string is displaced a distance a, as shown in Figure 12.22. If f(x) denotes the displaced profile of the string, express f(x) as a Fourier series expansion consisting only of sine terms.

f(x) a Figure 12.22 Displaced string X

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