(Use relative motion analysis): The planetary gear system is used in car transmissions. There is sun gear S, planet gears P and the ring gear R. By locking (fixing/grounding) certain gears you can have different gear ratios and car speeds. a) If the ring gear is held fixed, i.e. wR = 0, and the sun gear is rotated at ws = 5 rad/s, find the angular velocity, wp of the planet gears and wд the output shaft A. b) If the sun gear is held fixed, i.e. ws = 0, and the ring gear is rotated at WR = 5 rad/s, find the angular velocity, wp of the planet gears and wд the output shaft A. WR R WS 80 mm 40 mm 40 mm A

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(Use relative motion analysis): The
planetary gear system is used in car transmissions.
There is sun gear S, planet gears P and the ring
gear R. By locking (fixing/grounding) certain
gears you can have different gear ratios and car
speeds.
a) If the ring gear is held fixed, i.e. WR = 0,
and the sun gear is rotated at ws =
5 rad/s, find the angular velocity, wp of
the planet gears and wд the output shaft A.
b) If the sun gear is held fixed, i.e. @s = 0,
and the ring gear is rotated at wR =
5 rad/s, find the angular velocity, wp of
the planet gears and we the output shaft A.
WR
R
P
WS
80 mm
40 mm
40 mm
A
Transcribed Image Text:(Use relative motion analysis): The planetary gear system is used in car transmissions. There is sun gear S, planet gears P and the ring gear R. By locking (fixing/grounding) certain gears you can have different gear ratios and car speeds. a) If the ring gear is held fixed, i.e. WR = 0, and the sun gear is rotated at ws = 5 rad/s, find the angular velocity, wp of the planet gears and wд the output shaft A. b) If the sun gear is held fixed, i.e. @s = 0, and the ring gear is rotated at wR = 5 rad/s, find the angular velocity, wp of the planet gears and we the output shaft A. WR R P WS 80 mm 40 mm 40 mm A
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