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A person of mass 0.240 kg is at rest on the edge of a solid cylindrical...

A person of mass 0.240 kg is at rest on the edge of a solid cylindrical disk (? = 0.40 kg, ? = 0.60 m) rotating in a horizontal plane around the vertical axis through its center. The disk is rotating at 12.0 rad/s. The person moves to a point 0.3m from the center of the disk.

One) what is the moment of inertia of the disk including the person?

Two) what is the initial angular momentum of the disk and person system?

Three) what is the initial kinetic energy of the disk and person system?

Four) what is the moment of inertia of the system with the person at its new position ?

Five) What is the new angular velocity of the disk?

Six) What is the change in the kinetic energy of the system?

Seven) What is the cause of the change of kinetic energy?

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