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There is a spool with mass M and its inertia is I = (MR^2)/3. The spool's dimensions are: the outer radius is R and inner radius (where the thread is...

There is a spool with mass M and its inertia is I = (MR^2)/3. The spool's dimensions are: the outer radius is R and inner radius (where the thread is wrapped) is R/2.

If you pull the cord on a spool with force T , what is the spool's acceleration? 

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