Engineers at Indian Institute of Technology Bombay are designing a rotating docking arm for a future space station. The arm is modeled as a uniform rigid rod pivoted at one end.
During testing, the rod is held vertically and released from rest. As it falls under gravity, engineers must determine its angular velocity at the horizontal position.
This helps ensure the docking arm does not rotate too fast and damage spacecraft.
A uniform rod of length L and mass m is pivoted at one end.
Initially:
  • Rod is vertical
  • Released from rest
Find angular velocity when rod reaches horizontal position.
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