The rocket consists of the main section A having a mass of 10 Mg and a center of mass at...

The rocket consists of the main section A having a mass of 10 Mg and a center of mass at G_A. The two identical booster rockets B and C each have a mass of 2 Mg with centers of mass at G_B and Gc, respectively. At the instant shown, the rocket is traveling vertically and is at an altitude where the acceleration due to gravity is g = 8.75 m/s². If the booster rockets B and C suddenly supply a thrust of T_B = 30 kN and T_c = 20 kN, respectively, determine the angular acceleration of the rocket. The radius of gyration of A about G_A is k_A = 2 m and the radii of gyration of B and C about G_B and Gc are k_B = k_c = 0.75 m.