I have the following equation subject to y(0)=0 and y'(0) = 0(adsbygoogle = window.adsbygoogle || []).push({});

my'' + b y' + k y = C

I have done an experiment where I measured force at given depth for a dampened harmonic oscillator. Is it possible to use the force I measured to solve for displacement and then back out coefficient b for the dampened (y') term?

For instance, measured force = 1000 N

Fspring = k y = E A y / L so for a given spring... properties and length i can solve for the change in spring length, y.

The solution to my'' + b y' + k y = C is of the form y(t) = e^Mt cos (Bt) + e^Nt sin (Bt) + some particular solution (for the C)...or something like that

Since the sine wave dies out over time (due to dampening) for every y value there should be ONE specific corresponding value of time. So basically what I am saying, knowing y can I find a time and then back out b, the coefficient for my y' term?

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# 2nd order dampened harmonic oscillator (Shot in the dark)

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