Determine the relationship of the fundamental frequency

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Reference no: EM131260828

1. Determine the relationship of the fundamental frequency of a vibrating string to the mass per unit length, the length of the string, and the tension in the string.

2. If, for a vibrating wire, the original displacement of the 2- m-long stationary wire is given by

(a) 0.1 sin x π/2,

(b) 0.1 sin 3πx/2, and

(c) 0.1(sin πx/2 - sin 3πx/2), find the displacement function u(x,t). Both ends are fixed, P = 50 N, and the mass per unit length is 0.01 kg/m. With what frequency does the wire oscillate? Write the eigenvalue and eigenfunction for part (a).

Reference no: EM131260828

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