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.

Question

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.

Philoid · Accepted Answer

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

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.

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.