Above the earth’s atmosphere at an altitude of 400 km where the acceleration due to grav...

Above the earth’s atmosphere at an altitude of 400 km where the acceleration due to gravity is 8.69 m/s², 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 1° of as shown, calculate the angular acceleration α 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.