Two harmonic waves are generated on the same rope, each wave has an amplitude of 3.0 cm and 2.0 cm respectively as shown in the figure. Nevertheless, the second wave has a lag of π / 2 in relation to the first. Knowing that both have the same frequency of 5.0 Hz, and the length wave of the first wave is 0.4 m: (a) Calculate the wave number and angular frequency of each of the waves; (b) Express the wave function of each of the harmonic oscillations propagated in the string; (c) Determine the amplitude of the resulting wave over wake up.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter17: Traveling Waves
Section: Chapter Questions
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Two harmonic waves are generated on the same rope, each wave has an amplitude of 3.0 cm and 2.0 cm respectively as shown in the figure. Nevertheless, the second wave has a lag of π / 2 in relation to the first. Knowing that both have the same frequency of 5.0 Hz, and the length wave of the first wave is 0.4 m:

(a) Calculate the wave number and angular frequency of each of the waves;

(b) Express the wave function of each of the harmonic oscillations propagated in the string;

(c) Determine the amplitude of the resulting wave over wake up.

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