A space station has a large ring-like component that rotates to simulate gravity for the crew....

A space station has a large ring-like component that rotates to simulate gravity for the crew. This ring has a mass M = 2.1×10^5 kg

and a radius of R= 86.0 m and can be modeled as a thin hoop. Before spinning up the ring section, crew members Dave and Frank

dock their ships, each with mass m= 3.5×10^4 kg on two docking ports located on opposite sides of the center of the ring. The docking

ports are located r = 31.0 m from the center of the ring. When the station’s computer begins to spin up the ring it has to spin both the

ring and the ships. The ships can be treated as point particles. Two identical thrusters on the edge of the ring are used to spin up the

ring with a constant angular acceleration. The ring-ship system takes 3 hours to reach the angular speed at which it simulates Earth’s

gravity for the crew on the edge of the ring. What constant force must each of the two thrusters apply to reach this rotational speed?

Expert Solution

genius_generous answered 2 years ago

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