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.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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.
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