- #1

Okazaki

- 56

- 0

## Homework Statement

A string vibrates according to the equation y(x,t) = 2.0*sin (0.16x)cos (750t) , where x and y are in centimeters and t is in seconds. (a) What are the amplitude and velocity of the component waves whose superposition give rise to this vibration? (b) What is the distance between nodes? (c) What is the velocity of a particle of the string at the position x = 9.0 cm when 3 t 5 10− = × sec?

## Homework Equations

y'(x,t) = [2y

_{m}sin(kx)]*cos(ωt)

## The Attempt at a Solution

...I'm honestly not too sure here. See, I know that the equations match up so that:

2y

_{m}= 2.0 cm

ω = 750 Hz

k = 0.16m

^{-1}

But I'm not sure what to do with this. Does this mean that the original wave(s) that make up this new wave (so the component waves) both had an amplitude of 1.0 cm (and etc.)? Or am interpreting this horribly wrong?