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A string is wrapped around the central axis of a platform that is free to rotate. A 100 g mass attached to the string falls, exerting a torque on the spinning platform. The empty platform has a rotational inertia of 1.75 g·m2. Two masses, m1 = 25 g and m2 = 35 g, are attached to the top of the platform a distance of 15 cm from the central axis. Once the 100 g mass falls a distance of 1.31 m, the string detaches from the central axis. At this point the 100 g mass is moving downward at a speed of 0.96 m/s.
Find the maximum rotational speed of the rotating platform with masses m1 and m2 attached.
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