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

Question:

In the planetary gear system shown, the radius of the central gear A is a, the radius of the planetary gears is b, and the radius of the outer gear E is a + 2b. The angular velocity of gear A is ωA clockwise, and the outer gear is stationary. If the angular velocity of the spider BCD is to be ωA/5 clockwise, determine

(a) The required value of the ratio b/a,

(b) The corresponding angular velocity of each planetary gear.