Rotational Inertia equation help

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Homework Statement



Derive the equation for the linear acceleration of a falling mass m suspended by a string from the rim of a uniform disk of mass M and radius R that is free to rotate without friction about its principal axis.

Homework Equations



a=rα
linear acceleration = radius*angular acceleration

Torque=inertia*angular acceleration

The Attempt at a Solution



I don't really understand the question. If something is in free-fall, isn't its acceleration g? I just don't understand where the variables for the masses go. Any help is appreciated..
 

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