Physics
Oscillations Mechanical Waves
As shown in Exercise 15.35, a standing wave given by

As shown in Exercise 15.35, a standing wave given by Eq. (15.28) satisfies the wave equation Eq.

Question:

As shown in Exercise 15.35, a standing wave given by Eq. (15.28) satisfies the wave equation Eq. (15.12).
(a) Show that a standing wave given by Eq. (15.28) also satisfies the equation

Interpret this equation in terms of what you know about simple harmonic motion.
(b) Does a traveling wave given by y(x, t) = Acos (kx - wt) also satisfy the equation in part (a)? Interpret this result.

Transcribed Image Text:

azy(x, t) = -o'y(x, t) ar?

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To show this relationship is valid take the second time derivativ...View the full answer

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