The equation of a standing wave is obtained by adding the displacements of two waves traveling in opposite directions. Assume that each of the waves has an amplitude of A, period of T, and wavelength of λ. The models for two such waves are: y1 = A cos 2π(t/T – x/λ) and y2 = A cos 2π(t/T + x/λ). Show that y1 + y2 = 2A cos 2πt/T cos 2πx/λ

The equation of a standing wave is obtained by adding the displacements of two waves traveling in opposite directions. Assume that each of the waves has an amplitude of A, period of T, and wavelength of λ. The models for two such waves are: y1 = A cos 2π(t/T – x/λ) and y2 = A cos 2π(t/T + x/λ). Show that y1 + y2 = 2A cos 2πt/T cos 2πx/λ

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter17: Traveling Waves

Section: Chapter Questions

Problem 17PQ

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