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A solid cylinder of inertia 1.4 kgmm rotates about a vertical frictionless axle with angular velocity 22 radians/second.

A solid cylinder of inertia 1.4 kgmm rotates about a vertical frictionless axle with angular velocity 22 radians/second. A second solid cylinder of inertia 2 kgmm is initially not rotating and it drops onto the first cylinder. The two surfaces are rough and they eventually come to the same angular velocity. Calculate the magnitude of the final angular velocity. Answer in units of rad/s.

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