In the planetary gear system shown, the radius of the central gear A is a = 24

Question:

In the planetary gear system shown, the radius of the central gear A is a = 24 mm, the radius of the planetary gears is b, and the radius of the outer gear E is (a + 2b). A clockwise couple of magnitude 15 MA = 15 N ∙ m is applied to the central gear A, and a counterclockwise couple of magnitude MS = 75 N ∙ m is applied to the spider BCD. If the system is to be in equilibrium, determine
(a) The required radius b of the planetary gears,
(b) The couple ME that must be applied to the outer gear E.