$)$ A simple, harmonic oscillator at the point x $=0$ generates a wave on a rope. The oscillator operates at a frequency of $40$ Hz and with an amplitude of $3\mathrm{.}00$ cm$.$ The rope has a linear mass density of $20\mathrm{.}0$ g$/$m and is stretched with a tension of $25\mathrm{.}00$ N$.$ Write down the equation $(,)$ for the resulting travelling transverse wave on this rope running in the negative x$-$direction. Find the maximum transverse acceleration of points on the rope.