One end of a long string of linear mass density `8.0 xx 10^(-3) kg m^(-1)` is connected to an electrically driven tuning fork of frequency 256Hz. The other end passes over a pulley and is tied to a pan containing a mass of 90kg. The pulley end absorbs all the incoming energy so that reflected waves at this end have negligible amplitude. At t=0, the left end (fork end) of the string x=0 has zero transverse displacement (y=0) and is moving along positive y-direction. The amplitude of the wave is 5.0 cm. Write down the transverse displacement y as function of x and t that describes the wave on the string.

Explanation

`y= 0.05 sin (omega t- kx) " here " omega = 1.61 xx 10^(3) s^(-1), k= 4.84m^(-1), x and y` are in m