### Vibration, Wave and Sound

# Standing wave

Problem by zainul abidin

30 Nov 1999 00:00 WIB

A standing wave is composed of two waves which are described by the following equations

$$y_1= 0.02 \cos \left(\frac{x}{2}-20t\right)$$

and

$$y_2= 0.02 \cos \left(\frac{x}{2}+20t\right)$$

where $y_1$, $y_2$, and $x$ are in meters and $t$ is in seconds. Determine the position of the nodes of the resulting standing wave. What is the maximum displacement at the position $x=0.2$?