Two disks of identical mass but different radii (r and 2r) are spinning on frictionless bearings at

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Two disks of identical mass but different radii (r and 2r) are spinning on frictionless bearings at the same angular speed ?0 but in opposite directions (Figure). The two disks are brought slowly together. The resulting frictional force between the surfaces eventually brings them to a common angular velocity. What is the magnitude of that final angular velocity in terms of ?0?

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