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A record with a 10 cm radius and 200 g mass is dropped vertically onto a freely rotating turntable (meaning the turntable is not being driven by a motor). Frictional forces act to bring the record and turntable to a common angular speed. The radius of the turntable is also 10 cm, and the mass is 2 kg. The initial angular velocity of the turntable is 5 rad/s. (i) What is the final angular velocity of the record and the turntable? (ii) If there is a net frictional torque of 0.1 N·m, how long will it take for the record and turntable to stop rotating?

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