In a Proell governor, the mass of each ball is 5 kg and central load on sleeve

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In a Proell governor, the mass of each ball is 5 kg and central load on sleeve is 50 kg. The length of each upper and lower arms is 250 mm. The minimum and maximum radii are 120 mm and 180 mm respectively. The distances of point of suspension of upper and lower links from governor axis are 20 mm and 30 mm, respectively. The length of links to which balls are attached is 75 mm. Assuming that the links to which balls are attached are parallel to governor axis at the minimum radius, determine the equilibrium speeds corresponding to extreme radii.

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