Solved: Standing Waves The equation of a standing wave is
Chapter 5, Problem 5.4.79(choose chapter or problem)
Standing Waves The equation of a standing wave is obtained by adding the displacements of two waves traveling in opposite directions (see figure). Assume that each of the waves has amplitude period and wavelength If the models for these waves are and show that t = 0 t T = 1 8 t T = 2 8 y 1 y 1 y 1 y 2 y 2 y 2 y y +1 2 y y +1 2 y y +1 2 y1 y2 2A cos 2t T cos 2x . y2 A cos 2 t T x y1 A cos 2 t T x A
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