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Q3. A Hartnell governor has three rotating balls each of mass 0.3 kg. The length of the ball arms arc 150 mm and the length of the sleeve arms are 100 mm. When at the mean speed of 480 rev/min and rising, the balls are at a radius of 110 mm. The governor spring stiffness is I 4 kN/m and friction at the sleeve is 50 N. Calculate EACH of the following:

(a) The spring compression al the mean speed;

(b) the vertical movement of the sleeve if the speed increases by 5%.