Two waves that set up a standing wave in a long string are given by the wave functions y1 A sin (kx wt ) and y2 A sin(kx wt) Show (a) that the addition of the arbitrary phase constant changes only the position of the nodes and, in particular, (b) That the distance between nodes is still one half the wavelengths

Question: Two waves that set up a standing wave in a long string are given by the wave functions y1 = A sin (kx wt +

Two waves that set up a standing wave in a long string are given by the wave functions
y1 = A sin (kx ─ wt + ǿ)
and
y2 = A sin(kx + wt)
Show (a) that the addition of the arbitrary phase constant ǿ changes only the position of the nodes and, in particular,
(b) That the distance between nodes is still one half the wavelengths.

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