A planetary gear system is shown, where the gear teeth are omitted from the figure. Each...

A planetary gear system is shown, where the gear teeth are omitted from the figure. Each of the three identical planet gears A, B, and C has a mass of 0.8 kg, a radius r = 50 mm, and a radius of gyration of 30 mm about its center. The spider E has a mass of 1.2 kg and a radius of gyration about O of 60 mm. The ring gear D has a radius R = 150 mm and is fixed. If a torque M = 5 N·m is applied to the shaft of the spider at O, determine the initial angular acceleration α of the spider.