In the planetary gear system shown, the radius of the central gear A is a = 18 mm, the

Chapter 6, Problem 6.159

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In the planetary gear system shown, the radius of the central gear A is a = 18 mm, the radius of each planetary gear is b, and the radius of the outer gear E is (a + 2b). A clockwise couple of magnitude MA = 10 N m is applied to the central gear A and a counterclockwise couple of magnitude MS = 50 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 magnitude ME of the couple that must be applied to the outer gear E.

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