A space station has a large ring-like component that rotates tosimulate gravity for the crew. This ring has a mass M = 2.1×10^5kg
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 andFrank
dock their ships, each with mass m= 3.5×10^4 kg on two dockingports located on opposite sides of the center of the ring. Thedocking
ports are located r = 31.0 m from the center of the ring. Whenthe station’s computer begins to spin up the ring it has to spinboth 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 upthe
ring with a constant angular acceleration. The ring-ship systemtakes 3 hours to reach the angular speed at which it simulatesEarth’s
gravity for the crew on the edge of the ring. What constantforce must each of the two thrusters apply to reach this rotationalspeed?
