80. 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 A, period T, and wavelength 1. The models for two such waves are y, = A cos 27 and y, = A cos 27 Show that 2nt y, + y2 = 2A cos cos 2nx T 1 = 0 yi+y2] yı +y2] 1=T

80. 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 A, period T, and wavelength 1. The models for two such waves are y, = A cos 27 and y, = A cos 27 Show that 2nt y, + y2 = 2A cos cos 2nx T 1 = 0 yi+y2] yı +y2] 1=T

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter13: Mechanical Waves

Section: Chapter Questions

Problem 64P

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