A thrust vector control system swivels the rocket engine to maintain correct orientation of the booster. As shown in Figure 4.14, the small engine gimbal angles are 0 and 02. Show that the torques are M = IT0, M = 1T02, M30 (4.109) where T is the thrust and I is the distance from the center of mass to the engine. Also, if the control angles are made proportional to the angular rates 0 = , 2 = (4.110)