Rotation Problem Involving Two Disks

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Homework Statement


I attached the problem as a word file.


Homework Equations





The Attempt at a Solution



I think I will be able to solve this problem; my only questions is, can I treat the two disks as one, by summing their rotational inertias together?
 

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Yes. That's correct. I = Ʃmr2 where the sum is over all the particles in the system. You can break the sum into two parts, one part for the first disk and the other part for the second disk.