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Help using logarithmic decrement to find damping ratio... Watch

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    Okay, I have basically videoed an oscillating spring setup with with different surface areas on the bottom so I can plot the damping ratio against the s/a and as such find the surface area required for critical damping.Now I know there is an equation to find the damping ratio using logarithmic decrement and it is in a book call "Solving Problems in Vibrations" but I lost my folder with the book in and all the equations.
    Can anyone send me the relavent formula like it is posed in this book or a better way using only the logarimic decremt?
    regards,
 
 
 
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