For the wave described in the last problem plot the displacement ( y ) versus (t) graphs for x = 0.2 and 4 cm. What are the shapes of these graphs? In which aspects doesthe oscillatory motion in travelling wave differ from one point to another : amplitude, frequency or phase ?

For the wave described in the last problem plot the displacement ( y )

1.	For the wave described in the last problem plot the displacement ( y ) versus (t) graphs for x = 0.2 and 4 cm. What are the shapes of these graphs? In which aspects doesthe oscillatory motion in travelling wave differ from one point to another : amplitude, frequency or phase ?
Answer» Solution :The transverse HARMONIC wave is `y( x,t) = 3.0 [ 36T + 0.018x+(pi)/(4) ]` For x = 0 `y ( 0,t) = 3.0 SIN ( 36t + ( pi)/(4) )` ...(i) Here `w = ( pi)/(T) =36, T =( 2pi)/( 36) =( pi)/(18) sec`.

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For the wave described in the last problem plot the displacement ( y ) versus (t) graphs for x = 0.2 and 4 cm. What are the shapes of these graphs? In which aspects doesthe oscillatory motion in travelling wave differ from one point to another : amplitude, frequency or phase ?

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