A long string held by two men, one on each end. Man A oscillates the end that hold producing a wave described by a function y,(x, t) = A sin(kx-ot) and student B oscillates the string producing at twice the frequency, moving in the opposite direction. Both waves move at the same speed v = ak . The two waves interfere to form a resulting wave whose wave function is Ya (x, t) = y, (x, t) + y, (x, t). Find the velocity of the resulting wave using the linear wave equation

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A long string held by two men, one on each end. Man A oscillates the end that hold producing a
wave descrihed by a funetion y,(x, t) = A sin(kx-ot) and student B oscillates the string
producing at twice the frequency, moving in the opposite direction. Both waves move ät the
same speed v = ok . The two waves interfere to form a resulting wave whose wave function is
YR (x, t) = y, (x, t) + y, (x, t). Find the velocity of the resulting wave using the linear wave
equation
ayr. )1 axtx. 1)
Transcribed Image Text:HW A long string held by two men, one on each end. Man A oscillates the end that hold producing a wave descrihed by a funetion y,(x, t) = A sin(kx-ot) and student B oscillates the string producing at twice the frequency, moving in the opposite direction. Both waves move ät the same speed v = ok . The two waves interfere to form a resulting wave whose wave function is YR (x, t) = y, (x, t) + y, (x, t). Find the velocity of the resulting wave using the linear wave equation ayr. )1 axtx. 1)
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