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The flyball speed governor consists of two 500-g spheres connected to the vertical shaft by a parallelogram linkage. This shaft, which passes through the collar supporting the linkage, rotates freely. The mass of the links is negligible. The system is initially rotating steadily at 900 rev/min about the vertical axis, with θ = 75°. A constant upward force is applied to the vertical shaft at end B, causing point A to move upward and θ to decrease. Derive algebraic equations for Ω and θ˙ as functions of the magnitude of and θ.
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