A yo-yo consists of a homogeneous slotted cylinder, radius (R=7.0 mathrm{~cm}) and mass (mathrm{m}=100 mathrm{~g}). The inner

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A yo-yo consists of a homogeneous slotted cylinder, radius \(R=7.0 \mathrm{~cm}\) and mass \(\mathrm{m}=100 \mathrm{~g}\). The inner slot is of negligible width, and does not significantly affect the value of the moment of inertia \(J\). In the inner slot, of radius \(r=3.0 \mathrm{~cm}\) is wrapped a string, attached at the other end to a fixed point (a hook, for example). Calculate the acceleration \(a_{c m}\) of the yo-yo when it is allowed to fall freely.

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