A pulse travelling on a string is represented by the function
,
where a = 5 mm and υ = 20 cm s−1. Sketch the shape of the string at t = 0, 1 s and 2 s. Take x = 0 in the middle of the string.
The maxima in the x-y plane will be the amplitude of the wave.
For maxima, dy/dx=0
So, the amplitude will be,
For velocity in x direction, the function of x and t will be when y=a;
At, t=0;
X=0 cm
At t=1 s
X=20 cm
At t=2 s
X=40 cm