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Q7. A Porter governor has arms of equal length 320 mm and two rotating masses of 0.8 kg each. At the mean speed of 120 rev/min, with the speed falling, both sets of arms are at 30 degrees to the vertical. Friction at the central sleeve is constant at 20N. Calculate EACH of the following:

(a) The central sleeve mass;

(b) The speed that would cause the sleeve to rise 20 mm from the mean speed position given;

(c) The speed that would cause the sleeve to fall 20 mm from the mean speed position given.