Question

A transverse harmonic wave on a string is described by y(x, t)=3.0 sin (36 t +0.018x + π/4) where x and y are in cm and tin s. The positive direction of x is from left to right: Is this a travelling wave or a stationary wave?

Answer 1

A transverse harmonic wave on a string is described by y(x, t)=3.0 sin (36 t +0.018x + π/4)

stationary wave is the superposition of two same progressive waves which propagates in opposite directions. I mean, if two progressive waves $y_1=a_1sin(\omega t-kx),y_2=a_2sin(\omega t+kx)$ are given,
then, superposition of these wave is given a new wave which is known as stationary wave.

and standard equation of traveling wave such as $y=asin(\omega t+ kx+\theta)$
the above equation seems travelling wave because equation of both equations are similar.
hence, this is traveling wave.

Answer 2

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