An internal mechanism is used to maintain a constant angular rate Ω = 0.05 rad/s about t...

An internal mechanism is used to maintain a constant angular rate Ω = 0.05 rad/s about the z-axis of the spacecraft as the telescopic booms are extended at a constant rate. The length l is varied from essentially zero to 3 m. The maximum acceleration to which the sensitive experiment modules P may be subjected is 0.011 m/s². Determine the maximum allowable boom extension rate i.