Bowl Sliding Down Hemispherical Bowl

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Ignore this. :)
 
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chromium do you go to mcmaster? I'm working on the exact same problem... I made a thread about it a little farther down below in this thread. Can't figure out how to get the accelerations.
 
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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