The following data refer to a Hartnell governor:

Length of ball arm of bell crank lever = 150 mm; length of sleeve arm = 100 mm;

Mass of ball = 5 kg; spring stiffness = 250 N/mm.

At minimum speed of 300 rpm the radius of rotation of ball is 80 mm. Neglecting gravity effect, determine

(a) the speed after the sleeve has lifted by 50 mm,

(b) the initial compression of the spring,

(c) governor effort, and

(d) power.