The displacement of the particle at x = 0 of a stretched string carrying a wave in the positive x -direction is given by f ( t ) = A sin( t/T ). The wave speed is υ . Write the wave equation.

Question

Philoid · Accepted Answer

At x=0, f(t) = A sin(t/T) and the wave is propagating in +ve x axis.

But at t = nT the function should collapse to 0(Assuming phase is 0).

But it will not happen with the first equation. So, there must be some other terms associated.

Let us see the x dependent part of the function.

Also,

Hence, the possible solution to the above equation is,

The displacement of the particle at x = 0 of a stretched string carrying a wave in the positive x-direction is given by f(t) = A sin(t/T). The wave speed is υ. Write the wave equation.