Above the earth’s atmosphere at an altitude of 400 km where the acceleration due to gravity is 8.69 m/s 2 , a certain rocket has a total remaining mass of 300 kg and is directed 30° from the vertical. If the thrust T from the rocket motor is 4 kN and if the rocket nozzle is tilted through an angle of 1° as shown, calculate the angular acceleration a of the rocket and the x and y components of the acceleration of its mass center G. The rocket has a centroidal radius of gyration of 1.5 m.