Gear C is driven by shaft DE, while gear B spins freely about its axle GF, which precesses freely about shaft DE. If gear A is held fixed (ω_A = 0), and shaft DE rotates with a constant angular velocity of ω_DE = 10 rad/s, determine the angular velocity of gear B.

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B G 150 mm Z D E -F WA C A 150 mm 150 mm @DE = 10 rad/s