Question: Show that if the displacement of the string in Fig. 2.12 is given by y(x, t) = A sin [kx - Ït + ε] then

Show that if the displacement of the string in Fig. 2.12 is given by
y(x, t) = A sin [kx - ωt + ε]

then the hand generating the wave must be moving vertically in simple harmonic motion.

Fig. 2.12

t = 0 .t.. t=7/4 t=7/2 t = 37/4 ... t= T ɛ = 0

t = 0 .t.. t=7/4 t=7/2 t = 37/4 ... t= T = 0

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