Scientists at Indian Space Research Organisation are testing artificial gravity inside a rotating space station module.
Inside the station, a smooth rigid rod is fixed radially from the center and rotates with constant angular velocity. A small bead is placed on the rod and allowed to move freely without friction.
As the station rotates, the bead begins to slide outward. Engineers must calculate the acceleration of the bead to ensure it does not escape the module.
This experiment helps design safe rotating habitats for astronauts.
A bead of mass m is placed on a smooth rod rotating with constant angular velocity ω.
The bead is at distance r from the center.
Find the radial acceleration of the bead.
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