First slide
Equation of wave
Question

The displacement of a particle in a string carrying a travelling wave is represented by the equation y=A sinKx-ωt+ϕ. At t = 0, The particle at x = 0 is at half of amplitude and is moving in upward direction. Then value of ϕ is

Moderate
Solution

Since the particle at x = 0 is moving upward at t = 0, putting t=0 and y= A/2, we can write

+A/2=A sinϕϕ=30o

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