The fly balls of spring loaded governor of Hartnell type running at 600 rpm have a radius of rotation of 80 mm with sleeve in mid-position and ball arms vertical. The ball arms and sleeve arms are of equal length. The maximum sleeve movement is 20 mm with ±5% variation in speed. The mass of sleeve is 5 kg and friction may be assumed to be equivalent to an additional load of 20 N at the sleeve. The governor effort is sufficient to overcome the friction at the sleeve by 1% change of speed at mid-point. Determine

(a) mass of each ball,

(b) spring rate,

(c) initial compression of spring,

(d) governor effort for 1% change of speed, and

(e) governor power.