Planar Kinematics - Relative Motion

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Homework Statement


http://www.hdimage.org/images/n5gdv4yrqp0wkl11ioae.jpg

Homework Equations


aA = aB + aA/B


The Attempt at a Solution


I have made a few attempts at this one, and I have gotten absolutely no where. All I have figured out is that the edge of the smaller circle will be the point of rotation, not the center of the object O. Any advice to steer me in the right direction will be greatly appreciated.

Cheers
 
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Any ideas?
 
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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