The planetary gear system is used in an automatic transmission for an automobile. By locki...

The planetary gear system is used in an automatic transmission for an automobile. By locking or releasing certain gears, it has the advantage of operating the car at different speeds. Consider the case where the ring gear R is held fixed, ωR = 0, and the sun gear 5 is rotating at ωs = 5 rad/s. Determine the angular velocity of each of the planet gears P and shaft A.