The control weights are now pulled inward by powerful motors to a distance 3R/4 from the center. What is the final moment of inertia of the space station? 3R What is the station's final angular momentum? What is its final angular velocity? What is the centripetal acceleration experienced by the workers now?
The control weights are now pulled inward by powerful motors to a distance 3R/4 from the center. What is the final moment of inertia of the space station? 3R What is the station's final angular momentum? What is its final angular velocity? What is the centripetal acceleration experienced by the workers now?
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Can you please solve the 2nd picture that starts with "The control weights".
Transcribed Image Text:A space station consists of a large,
lightweight ring of radius R = 60 m and two small heavy control
5.0 x 104 kg, positioned at the outer
masses, each of mass M
edge. The space station rotates; workers standing on the inner
surface of the ring experience an artificial gravity, by way of the
normal force from their "floor".
Determine the moment of inertia of the space station.
(Treat the control weights as point masses; ignore the mass
Wi
of the lightweight ring and the workers.)
The station is initially turning counterclockwise at an
angular speed of w; = 0.2 radians/s. What is the magnitude of
the initial angular momentum of the station?
What is the direction of the angular momentum vector?
R,
Transcribed Image Text:The control weights are now pulled inward by powerful
motors to a distance 3R/4 from the center. What is the final
moment of inertia of the space station?
3R/4
What is the station's final angular momentum?
Wf
What is its final angular velocity?
What is the centripetal acceleration experienced by the
workers now?
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