- #1

Philip551

- 16

- 5

- Homework Statement
- Find the wavefunction of a sinusoidal wave that propagates on a string towards the negative direction of the x-axis given that ##y_{max}## = 8cm, f = 3Hz, ##\lambda## = 80cm and that y(0,t)=0 at t=0.

- Relevant Equations
- $$y(x,t)= y_{max} sin(kx- \omega t + \phi)$$

Using the equation above I know that I have to find parameters k ##\omega## and ##\phi##.

$$k = \frac{2\pi}{\lambda}$$

and

$$\omega = 2\pi f$$

The problem I've been having is how you would go about finding ##\phi## since by solving:

$$y(0,0)=0 \rightarrow sin(\phi)=0 \rightarrow \phi = 0, \pi $$

you get two different possible values for phi. How would you decide which one is correct without another initial condition?

$$k = \frac{2\pi}{\lambda}$$

and

$$\omega = 2\pi f$$

The problem I've been having is how you would go about finding ##\phi## since by solving:

$$y(0,0)=0 \rightarrow sin(\phi)=0 \rightarrow \phi = 0, \pi $$

you get two different possible values for phi. How would you decide which one is correct without another initial condition?