15.9 For the wave described in Exercise 15.8, plot the displacement (y) versus (t) graphs for x = 0, 2 and 4 cm. What are the shapes of these graphs? In which aspects does the oscillatory motion in travelling wave differ from one point to another: amplitude, frequency or phase ?

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8 months ago

All the waves have different phases. The given transverse harmonic wave is:

y(x, t) = 3.0 sin (36t + 0.018x + π4 ) ………(i)

For x = 0, the equation reduces to

y (0,t) = 3.0 sin (36t + π4 )

Also ω = 2πT , so T = 2πω = 2π36 = π18 s

For plotting y vs., t graphs using different values of t, we get

When t = 0, y = 2.12

t = T8 = π18*8 , y

...Read more

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Physics Waves 2021

Physics Waves 2021

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