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A space station in the shape of a uniform disk (mass 6.42x105 kg, radius 150 m)...

A space station in the shape of a uniform disk (mass 6.42x105 kg, radius 150 m) rotates with period 33.6 seconds. There are also 809 astronauts (whom you can treat as point particles) working inside the space station, each of mass 199 kg, and all standing on the outside rim and rotating with the station. Now, all the astronauts move to a conference room at the very center of the space station. Find the new period of the rotation of the space station.

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