What Causes a Driven Harmonic Oscillator to Be Deleted?

Tom1
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Can you figure out the forces working on a part of the oscillator?
 
The driving force just seems to be a function of angular frequency.
 
Why have you deleted the original post? It is both annoying and counter-productive, how do you expect us to help you if we can't see the question?
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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