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A solid uniform 3.25 kg cylinder, 50 cm I'm diameter and 12.4 cm long, is connected to a 1.50 kg weight over two massesless frictionless pulleys as shown in the figure. the cylinder is free to rotate about an axle through it's center perpendicular to it's circular faces, and the system is released from rest.

How far must the 1.5 kg weight fall before it reaches a speed of 3.6 m/s?

How fast is the cylinder turning at this instant?

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