Show that if the displacement of the string in Fig. 2.12 is given by y(x, t) =
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y(x, t) = A sin [kx - Ït + ε]
then the hand generating the wave must be moving vertically in simple harmonic motion.
Fig. 2.12
Transcribed Image Text:
t = 0 .t.. t=7/4 t=7/2 t = 37/4 ... t= T ɛ = 0
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simple harmonic motion, in physics, repetitive movement back and forth through an equilibrium, or central, position, so that the maximum displacement on one side of this position is equal to the maximum displacement on the other side. The time interval of each complete vibration is the same
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