A 55 kg runner runs around the edge of a horizontal turntablemounted on a vertical, frictionless axis through its center. Therunner’s velocity relative to the earth has magnitude 2.8 m/s. Theturntable is rotating in the opposite direction with an angular velocityof magnitude 0.20 rad/s relative to the earth. The radius of the turntableis 3.0 m, and its moment of inertia about the axis of rotation is80 kg . m2. Find the final angular velocity of the system if the runnercomes to rest relative to the turntable. (You can model the runner asa particle.)

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A 55 kg runner runs around the edge of a horizontal turntable
mounted on a vertical, frictionless axis through its center. The
runner’s velocity relative to the earth has magnitude 2.8 m/s. The
turntable is rotating in the opposite direction with an angular velocity
of magnitude 0.20 rad/s relative to the earth. The radius of the turntable
is 3.0 m, and its moment of inertia about the axis of rotation is
80 kg . m2. Find the final angular velocity of the system if the runner
comes to rest relative to the turntable. (You can model the runner as
a particle.)

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