A record with a 10 cm radius and 200 g mass is dropped vertically onto a freely

Question

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. What is the final angular velocity of the record and the turntable? 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?

Explanation / Answer

1) conservation of angular momentum i*omega=constant final omega=0.45 rad/sec 2)torque=i*alpha time=omehga initial^2/2*alpha

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