You know the energy gained (mgh)
You know the final KE of all masses, so the rest of the KE must be the pulley.
KE=I*w
I assume you will model the pulley as a disk of some radius r. w=vfinal/r
Solve for masspulley.
The two masses (m1 = 5.0 kg and m2 = 3.0 kg) in the Atwood's machine shown in Figure 10-23 are released from rest, with m1 at a height of 0.87 m above the floor. When m1 hits the ground its speed is 1.4 m/s. Assume that the pulley is a uniform disk with a radius of 12 cm. Determine the pulley's mass.
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