Two waves that travel in opposite directions are superimposed on a rope. Both have the same period of oscillation and the same wavelength. (a) Consider the equations of these waves in the form y(x, t) = (0.05m)sin(πx/2 ± 12πt) in SI units and show that the sum of the two waves is a wave stationary. (b) If the resulting function represents the second harmonic in a string tensioned 200 N, determine the length of the string and its mass.

Two waves that travel in opposite directions are superimposed on a rope. Both have the same period of oscillation and the same wavelength. (a) Consider the equations of these waves in the form y(x, t) = (0.05m)sin(πx/2 ± 12πt) in SI units and show that the sum of the two waves is a wave stationary. (b) If the resulting function represents the second harmonic in a string tensioned 200 N, determine the length of the string and its mass.

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 43PQ

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