A ring (mass 2 M, radius 1 R) rotates in a CCW direction with an initial...

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A ring (mass 2 M, radius 1 R) rotates in a CCW direction with aninitial angular speed 2 ω. A disk (mass 4 M, radius 2 R) rotates ina CW direction with initial angular speed 4 ω. The ring and disk\"collide\" and eventually rotate together. Assume that positiveangular momentum and angular velocity values correspond to rotationin the CCW direction.

What is the initial angular momentum Li of the ring+disk system?Write your answer in terms of MR2ω.

What is the final angular velocity ωf of thering+disk system? Write your answer in terms of ω.

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