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The device in the sketch is a fly ball governor, which has been used to control the rotation rate of an engine. The concept is that increasing the rotation rate causes the spheres to move outward, thereby causing the vertical rod to move downward, which may be sensed magnetically. Consider a situation in which the angular speed ω is unsteady and the vertical velocity of the rod, u, is constant. Describe the acceleration of a ball in terms of ω, , θ, and u.
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