A flyball governor for a steam engine is shown in Fig. 9.11. Two balls, each of mass m, are attached by means of four hinged arms, each of length l, to sleeves which are located on a vertical rod. The upper sleeve is fastened to the rod; the lower sleeve has mass M and negligible moment of inertia, and is free to slide up and down the rod as the balls move out from or toward the rod. The rod-and-ball system rotates with constant angular velocity ω. a) Set up the equation of motion, neglecting th

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