Curve fitting of a damped harmonic oscillator

[Liquidxlax]

Homework Statement

I was wondering if there was a general method for finding a function that fits a set of data for a damped harmonic oscillator

I'm currently writing up a presentation on the experiment for the gravitational constant and the way i did the experiment was to use a torsion balance with a mirror at the center that oscillates with small lead balls a distance b from the mirror.

I managed to calculate the gravitational constant with in .05% of it's given value. Problem is that i think my prof wanted a visual representation of the oscillation. While my method was just to view the end points of the oscillation which is generally all you need as i have acquired such a good value.

Pictures are usually better than words, so what i have Origin is a pain sorry

what I'm asking is if i could generate a function to fit this of the form sin(at)e^-bt

such that

Homework Equations

The Attempt at a Solution

 

[Spinnor]

The formatting of your post went nuts, is the picture really big, can you edit?