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A person with mass mp = 83.0 kg stands on a spinning platform disk that has a radius of R = 1.50 m and mass

A person with mass mp = 83.0 kg stands on a spinning platform disk that has a radius of R = 1.50 m and mass ma = 185 kg.

Initially, the disk spins at an angular speed of co = 2.10 rad/s.

Then, the person walks & of the way toward the center of the disk, ending 0.500 m from the disk's center.R Pi dw

1.What is the total moment of inertia of the system about the disk's center when the person stands on the rim of the disk?

2. What is the total moment of inertia of the system about the disk's center when the person stands at their final location, 2/3 of the way toward the center of the disk?

3. What is the final angular speed of the disk?

4. What is the change in the total kinetic energy of the person and disk?

5. What is the magnitude of the centripetal acceleration of the person when the person is a distance ⅓(R) from the disk's center?

6. If the person now walks back to the rim of the disk, what is the final angular speed of the disk?
 

R Pi dw

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