Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 16 - Waves-I - Problems - Page 475: 51d

Answer

In the equation for the other wave, the sign in front of $\omega$ is minus.

Work Step by Step

We can write the expression for one of the waves: $y(x,t) = (y_m) ~sin(k x+\omega t)$ To produce a standing wave, the two waves must be moving in opposite directions. Therefore, in the equation for the other wave, the sign in front of $\omega$ is minus.
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