Question

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 1

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`.