An Atwood’s machine consists of two masses, m1 and m2,

Chapter 2, Problem 41P

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(III) An Atwood's machine consists of two masses, \(m_{1}\) and \(m_{2}\), which are connected by a massless inelastic cord that passes over a pulley, Fig. 8-47. If the pulley has radius R and moment of inertia I about its axle, determine the acceleration of the masses \(m_{1}\) and \(m_{2}\), and compare to the situation in which the moment of inertia of the pulley is ignored. [Hint: The tensions \(F_{T 1}\) and \(F_{T 2}\) are not equal. We discussed this situation in Example 4-13, assuming I = 0 for the pulley.]

                                           

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