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 with a magnitude of MA = 10 N.m is applied to the central gear A and a counterclockwise couple with a magnitude of 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.

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter10: Virtual Work And Potential Energy
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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 with a magnitude of MA = 10 N.m is applied to the central gear A and a counterclockwise couple with a magnitude of 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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