A sin(ka – wt) and y2 = A sin(kx + wt) represent two Let y1 = al amplitude, traveling in opposite directions. Jsing the trig identity %3D sin(a + b) = sin(a) cos(b) ± cos(a) sin(b), apute the resultant wave y = Y1+ Y2• f y(x = 0) = 0 and y(x = L) = 0, what is the form of the wavev What type of wave is described in this problem? f L = 4, what are the allowed wavelengths? %3D %3D

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 91P: Consider two sinusoidal sine waves traveling along a string, modeled as y1(x,t)=0.3msin(4m1x+3s1t+3)...
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Problem 2
Let y1
equal amplitude, traveling in opposite directions.
a) Using the trig identity
A sin(kx – wt) and y2 = A sin(kx + wt) represent two waves of
sin(a +b) = sin(a) cos(b) ± cos(a) sin(b),
compute the resultant wave y = y1 + yY2.
b) If y(x = 0) = 0 and y(x = L) = 0, what is the form of the wavevector k?
c) What type of wave is described in this problem?
d) If L = 4, what are the allowed wavelengths?
%3D
Transcribed Image Text:Problem 2 Let y1 equal amplitude, traveling in opposite directions. a) Using the trig identity A sin(kx – wt) and y2 = A sin(kx + wt) represent two waves of sin(a +b) = sin(a) cos(b) ± cos(a) sin(b), compute the resultant wave y = y1 + yY2. b) If y(x = 0) = 0 and y(x = L) = 0, what is the form of the wavevector k? c) What type of wave is described in this problem? d) If L = 4, what are the allowed wavelengths? %3D
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