The midpoint of the string is displaced a distance a as, Mechanical Engineering

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The midpoint of the string is displaced a distance a as

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 7.21. If f(x) denotes the displaced profile of the string, express f(x) as a Fourier series expansion consisting only of sine terms

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