Question: Two disks are mounted (like a merry-go-round) on low-friction bearings on the same axle and can be brought together so that they couple and rotate

Two disks are mounted (like a merry-go-round) on low-friction bearings on the same axle and can be brought together so that they couple and rotate as one unit. The first disk, with rotational inertia 3.30 kg · m2 about its central axis, is set spinning counterclockwise at 450 rev/min. The second disk, with rotational inertia 6.60 kg · m2 about its central axis, is set spinning counterclockwise at 900 rev/min. They then couple together.
(a) What is their angular speed after coupling? If instead the second disk is set spinning clockwise at 900 rev/min, what are their
(b) Angular speed and
(c) Direction of rotation after they couple together?

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