3. Consider the superposition of two waves, each with an amplitude of 2 m, a wavelength of 5 m, and a period of 0.4 s, but different phases: y(x, t) = ym Ssin(kx – wt) + y,m sin(kx – wt + p). For each of the following values of the phase differences o, sketch separate plots of y(0, t) vs. t (i.e. the height of the waves at x = 0) for two cycles of the individual waves and two cycles of their superposition. It should be clear from the plots the values of the maximum and minimum height of the waves and at what times they reach these heights. A) = 0 B) p = t C) @ = =
3. Consider the superposition of two waves, each with an amplitude of 2 m, a wavelength of 5 m, and a period of 0.4 s, but different phases: y(x, t) = ym Ssin(kx – wt) + y,m sin(kx – wt + p). For each of the following values of the phase differences o, sketch separate plots of y(0, t) vs. t (i.e. the height of the waves at x = 0) for two cycles of the individual waves and two cycles of their superposition. It should be clear from the plots the values of the maximum and minimum height of the waves and at what times they reach these heights. A) = 0 B) p = t C) @ = =
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#3, question is split in half due to change in page. All information is there though
Transcribed Image Text:3. Consider the superposition of two waves, each with an amplitude of 2 m, a wavelength of 5 m, and a
period of 0.4 s, but different phases: y(x, t) = ym Ssin(kx – wt) + y,m sin(kx – wt + p). For each
of the following values of the phase differences o, sketch separate plots of y(0, t) vs. t (i.e. the
height of the waves at x = 0) for two cycles of the individual waves and two cycles of their
superposition. It should be clear from the plots the values of the maximum and minimum height of
the waves and at what times they reach these heights.
A) p = 0
B) p = Tt
C) ø =
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