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131.

Problem 17.39E (HRW)

Two sinusoidal waves of the same wavelength travel in the same direction along a stretched string with amplitudes of 3.0 cm and 4.0 cm and they have phase constants of 0 and , respectively. We have to determine the amplitude of the resultant wave.

Solution:             Click For PDF Version

We represent the two waves by the functions

The combined wave will be given by the expression

Let

We thus find the function for the combined wave,

Amplitude of the resultant wave is 5.0 cm and its phase is .