# Math Help - Damped harmonic motioN

1. ## Damped harmonic motioN

Hello,

Problem:
a guitar string is pulled at point p a distance of 3cm above it's rest position. It is then released and vibrates in damped harmonic motion with a frequency of 165 cycles per second. After 2 s, it is observed that the amplitude of the vibration at point P is 0.6 cm..

a. Find the damping constant c
b. Find an equation that describes the position of point p above it's rest position as a function of time. Take t=0 to be the instant that the string is released.

2. Originally Posted by l flipboi l
Hello,

Problem:
a guitar string is pulled at point p a distance of 3cm above it's rest position. It is then released and vibrates in damped harmonic motion with a frequency of 165 cycles per second. After 2 s, it is observed that the amplitude of the vibration at point P is 0.6 cm..

a. Find the damping constant c
b. Find an equation that describes the position of point p above it's rest position as a function of time. Take t=0 to be the instant that the string is released.
seeing that you posted this question in the Pre-calculus section, I assume you have a general equation that models the motion.

what equation do you have to work with?

look anything like this?

$x=Ae^{-kt}\cos(\omega t)$

3. Originally Posted by skeeter
seeing that you posted this question in the Pre-calculus section, I assume you have a general equation that models the motion.

what equation do you have to work with?

look anything like this?

$x=Ae^{-kt}\cos(\omega t)$
The one in my book is y=ke^(-ct) cost wt

I'm just trying to figure out what numbers go where...i have a feeling that I need to use the natural log stuff