The displacement, y , of particles in a wave travelling along the x-axis is given by y(x, t) = 2xe-x-3t + 6tex-3t for x and y measured in centimetres and t in seconds. (a) Use the one-dimensional wave equation to determine the phase speed of the wave. In what direction does the wave propagate? (b) Show that a particle at any position x along the wave obeys the equation of motion, a?y ду +6- + 9y = 0 at? at What kind of oscillation does this describe?

The displacement, y , of particles in a wave travelling along the x-axis is given by y(x, t) = 2xe-x-3t + 6tex-3t for x and y measured in centimetres and t in seconds. (a) Use the one-dimensional wave equation to determine the phase speed of the wave. In what direction does the wave propagate? (b) Show that a particle at any position x along the wave obeys the equation of motion, a?y ду +6- + 9y = 0 at? at What kind of oscillation does this describe?

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter16: Waves

Section: Chapter Questions

Problem 135AP: Consider two periodic wave functions, y1(x,t)=Asin(kxt) and y2(x,t)=Asin(kxt+) . (a) For what values...

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