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132. Problem 17.43P (HRW) Three sinusoidal waves of the same frequency travel along
a string of in the positive direction of an x axis. Their amplitudes are
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, and
their phase constants are 0,
and
,
respectively. We have to find the amplitude and the phase constant of the
resultant wave.|
Solution: Click For PDF Version From the data of the problem we can write the functions for the three waves as
By the principle of superposition the resultant wave will be described by the function
We define
The resultant wave can thus be expressed by the function
Therefore, the amplitude of the resultant wave is
and its phase constant is
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