The controlling force F in N and radius of rotation r in cm for a spring loaded governor are related by the expression: F = 3r - 8. The mass of each ball is 5 kg and extreme radii of rotation of the balls are 100 mm and 175 mm, respectively. Find the maximum and minimum speeds. If the friction of governor mechanism is equivalent to a radial force of 5 N at each ball, find the extent to which the equilibrium speeds are affected at the extreme radii of rotation.