Problem 1 Let y1 = Asin(kax – wt + a) and y2 = B sin(kr – wt + B) be the equa- tions representing two traveling transverse wave. Here A and B are two possibly different amplitudes, and a and ß are two possibly different phase shifts. The wave vector k and angular frequency w of each wave are the same. d) What is the resultant wave y1 + y2 in terms of R and ø? e) If A = 2, B = 3, a = 1/4, ß = 1/2, plot the phasors ỹı and ½, and the sum ÿ1 + ÿ2.

University Physics Volume 1
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Author:William Moebs, Samuel J. Ling, Jeff Sanny
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Chapter16: Waves
Section: Chapter Questions
Problem 93P: Two sinusoidal waves are moving through a medium in the same direction, both having amplitudes of...
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Problem 1
Let y1 = A sin(kx – wt + a) and yY2 = B sin(kx – wt + B) be the equa-
tions representing two traveling transverse wave. Here A and B are two
possibly different amplitudes, and a and ß are two possibly different phase
shifts. The wave vector k and angular frequency w of each wave are the same.
d) What is the resultant wave Yı + y2 in terms of R and ø?
e) If A = 2, B = 3, a = T/4, B = 1/2, plot the phasors i and 2, and the
sum y1 + ỹ2-
Transcribed Image Text:Problem 1 Let y1 = A sin(kx – wt + a) and yY2 = B sin(kx – wt + B) be the equa- tions representing two traveling transverse wave. Here A and B are two possibly different amplitudes, and a and ß are two possibly different phase shifts. The wave vector k and angular frequency w of each wave are the same. d) What is the resultant wave Yı + y2 in terms of R and ø? e) If A = 2, B = 3, a = T/4, B = 1/2, plot the phasors i and 2, and the sum y1 + ỹ2-
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