Two waves simultaneously present on a long string have a

Chapter 18, Problem 14

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Two waves simultaneously present on a long string have a phase difference f between them so that a standing wave formed from their combination is described by y1x, t 2 5 2A sin akx 1 f 2 b cos avt 2 f 2 b (a) Despite the presence of the phase angle f, is it still true that the nodes are one-half wavelength apart? Explain. (b) Are the nodes different in any way from the way they would be if f were zero? Explain.

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