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.

ENGR 121 B Lab Notes for 9/28/2016 Spencer Kociba ● vec=a:b:c ○ a=min/starting number ○ b=increment ○ c=max number ● logspace(X1, X2, N) ○ X1=starting point is 10^X1 ○ X2= ending point is 10^X2 ○ N= number of elements created ● x=([a:b], c) ○ a=start ○ b=end ○ c=the last element of the vector ○ Ex. mat=([5:1:3]; 1:3; 44, 9, 2) ■ >>> ● numel(matrix name) ○ Counts number of elements in the specified matrix/vector ● x=mat(3:)