Meriam, Kraige & Bolton — Plane Kinetics of Rigid Bodies: Problem 6_149

6/149 Two small variable-thrust jets are actuated to keep the spacecraft angular velocity about the z-axis constant at \(\omega_0 = 1.25 \text{ rad/s}\) as the two telescoping booms are extended from \(r_1 = 1.2 \text{ m}\) to \(r_2 = 4.5 \text{ m}\) 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.