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A flat uniform circular disk (radius = 3.00 m, mass = 1.00 ✕ 102 kg) is...

A flat uniform circular disk (radius = 3.00 m, mass = 1.00 ✕ 102 kg) is initially stationary. The disk is free to rotate in the horizontal plane about a frictionless axis perpendicular to the center of the disk. A 50.0 kg person, standing 1.75 m from the axis, begins to run on the disk in a circular path and has a tangential speed of 2.60 m/s relative to the ground. Find the resulting angular speed of the disk (in rad/s) and describe the direction of the rotation.

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