20-23. The differential of an automobile allows the two rear wheels to rotate at different speeds when the automobile travels along a curve. For operation, the rear axles are attached to the wheels at one end and have beveled gears A and B on their other ends. The differential case D is placed over the left axle but can rotate about C independent of the axle. The case supports a pinion gear E on a shaft, which meshes with gears A and B. Finally, a ring gear G is fixed to the differential case so that the case rotates with the ring gear when the latter is driven by the drive pinion H. This gear, like the differential case, is free to rotate about the left wheel axle. If the drive pinion is turning at wy = 100 rad/s and the pinion gear E is spinning about its shaft at we = 30 rad/s, determine the angular velocity, wa and Wp, of each axle. %3D From motor 50 mm- WE 40 mm- 180 mm 60 mm To left. To right wheel wheel

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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20-23. The differential of an automobile allows the two
rear wheels to rotate at different speeds when the
automobile travels along a curve. For operation, the rear
axles are attached to the wheels at one end and have
beveled gears A and B on their other ends. The differential
case D is placed over the left axle but can rotate about C
independent of the axle. The case supports a pinion gear E
on a shaft, which meshes with gears A and B. Finally, a ring
gear G is fixed to the differential case so that the case
rotates with the ring gear when the latter is driven by the
drive pinion H. This gear, like the differential case, is free to
rotate about the left wheel axle. If the drive pinion is
turning at wy = 100 rad/s and the pinion gear E is spinning
about its shaft at we = 30 rad/s, determine the angular
velocity, wa and Wp, of each axle.
%3D
From motor
50 mm-
WE
40 mm-
180 mm
60 mm
To left.
To right
wheel
wheel
Transcribed Image Text:20-23. The differential of an automobile allows the two rear wheels to rotate at different speeds when the automobile travels along a curve. For operation, the rear axles are attached to the wheels at one end and have beveled gears A and B on their other ends. The differential case D is placed over the left axle but can rotate about C independent of the axle. The case supports a pinion gear E on a shaft, which meshes with gears A and B. Finally, a ring gear G is fixed to the differential case so that the case rotates with the ring gear when the latter is driven by the drive pinion H. This gear, like the differential case, is free to rotate about the left wheel axle. If the drive pinion is turning at wy = 100 rad/s and the pinion gear E is spinning about its shaft at we = 30 rad/s, determine the angular velocity, wa and Wp, of each axle. %3D From motor 50 mm- WE 40 mm- 180 mm 60 mm To left. To right wheel wheel
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