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Math Help - Damped harmonic motioN

  1. #1
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    Damped harmonic motioN

    Hello,

    Can someone please help me solve this equation?

    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.
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  2. #2
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    Quote Originally Posted by l flipboi l View Post
    Hello,

    Can someone please help me solve this equation?

    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)
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  3. #3
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    Quote Originally Posted by skeeter View Post
    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
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