Two harmonic waves travel simultaneously along a long wire


Two harmonic waves travel simultaneously along a long wire. Their wave functions are y1 = 0.002cos (8.0x - 400t) and y2 =0.002cos (7.6x - 380t), where y and x are in meters and t in seconds.

(a) Write the wave function for the resultant wave in form of Equation 5-15.y(x, t) = A cos (Bx - Ct) cos (Dx - Et)

(b) What is the phase velocity of the resultant wave?

(c) What is the group velocity?

(d) Calculate the range Δx between successive zeros of the group. Relate Δx to Δk.

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Mechanical Engineering: Two harmonic waves travel simultaneously along a long wire
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