An Atwood’s machine consists of two masses, m A and m B , which are connected by a massless…

An Atwood’s machine consists of two masses,
mA and mB, which are connected by a massless inelastic
cord that passes over a pulley, Fig. 10 57. If the pulley has radius R and
moment of inertia I about its axle, determine the acceleration of the masses mA
and mB, and compare to the situation in which the moment of inertia
of the pulley is ignored. [Hint: The tensions FTA and FTB
are not equal. We discussed the Atwood machine in Example 4 13, assuming I = 0
for the pulley.]

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An Atwood’s machine consists of two masses,
mA and mB, which are connected by a massless inelastic
cord that passes over a pulley, Fig. 10 57. If the pulley has radius R and
moment of inertia I about its axle, determine the acceleration of the masses mA
and mB, and compare to the situation in which the moment of inertia
of the pulley is ignored. [Hint: The tensions FTA and FTB
are not equal. We discussed the Atwood machine in Example 4 13, assuming I = 0
for the pulley.]

                                 FIGURE 10-57

 

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