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Q5. A Hartnell governor has two rotating flyweights each of mass 0.8 kg. The pivot arms are vertical and the flyweights are at an orbital radius of 100 mm at a mean speed of 720 rev/min.

The length of the flyweight arms is 120 mm and the length of the sleeve arms is 80 mm. The spring stiffness is 30 kN/m and friction in the governor is equivalent to a force of 12 N at the sleeve if the governor speed increases or decreases. Calculate EACH of the following:

(a) The spring force when the governor is running at its mean speed, assuming friction is not present;

(b) The vertical movement of the sleeve for a speed decrease of 20 rev/min, including the effect of friction.