A system consists of three particlesA, B,andC. We know thatmA= 3 [kg],mB= 4 [kg], andmC=5 [kg] and that the velocities of the particles expressed in [m/s] are, respectively, vA=−4i+ 4j+ 6k, vB=−6i+ 8j+ 4k, andvC= 2i−6j−4k. Determine the angular momentumHOof the system aboutO.

Wo small variable-thrust jets are actuated to keep the spacecraft angular velocity about the z-axis constant at ? 0 = 1.16 rad/s as the two telescoping booms are extended from r1 = 1.18 m to r2 = 4.69 m at a constant rate over a period of 124 seconds. the small 19-kg experiment modules at the ends of the booms may be treated as particles, and the mass of the rigid booms is negligible. 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. after you have the general expression for t, answer the questions. show work.