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31.4 Worked Example - Atwood Machine

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A uniform massive pulley of radius \(R\) and moment of inertia about its center of mass \(I_{A}\) is suspended from a ceiling. An inextensible string of negligible mass is wrapped around the pulley and attached on one end to an object of mass \(m_1\) and on the other end to an object of mass \(m_2\).

Assume \(m_2> m_1\). Find the acceleration of the objects.

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