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 ?
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 ?
All the waves have different phases. The given transverse harmonic wave is:
y(x, t) = 3.0 sin (36t + 0.018x + ) ………(i)
For x = 0, the equation reduces to
y (0,t) = 3.0 sin (36t + )
Also = , so T = = = s
For plotting y vs., t graphs using different values of t, we get
When t = 0, y = 2.12
t = = , y
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