The operation of “reverse” for a three-speed automotive transmission is illustrated schematically in the figure. If the crank shaft G is turning with angular speed ω_G , determine the angular speed of the drive shaft H. Each of the gears rotates about a fixed axis. Note that gears A and B, C and D, and E and F are in mesh. The radii of each of these gears are listed.

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Given: rad S TA = 90 mm rB = 30 mm rc = 30 mm "D = 50 mm TE = 70 mm = 60 mm @G = 60 rF =