Two small variable-thrust jets are actuated to keep the spacecraft angular velocity about the z-axis constant at w₀ = 1.25 rad/s as the two telescoping booms are extended from r1 = 1.2 m to r₂ = 4.5 m at a constant rate over a 2-min period. Determine the necessary thrust T for each jet as a function of time where t = 0 is the time when the telescoping action is begun. The small 10-kg experiment modules at the ends of the booms may be treated as particles, and the mass of the rigid booms is negligible.

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10 kg T 10 kg 1.1 m 1.1 m T- r