n this problem, we will model a flyball governor - a timeless piece of engineering - which is used to control RPMs in systems like cars, aircrafts and generator turbines. While there are many variants of a governor we choose to model it as follow. Consider a truss of massless rods with four points A, B,C, D located at each of the frictionless pivot joints. Both C and D are of the same mass m, while A and B are of of negligible mass. Point B is fixed while point A is constrained to move frictionlessly along the vertical axis. While the purpose of a flyball governor is to limit angular rotation rates, we assume that the system is doing it's job well! And so assume that the whole truss is spinning around the vertical axis at constant rate . The spring connected to A has constant k, and is such that it does not exert any force on A when the truss is flat (i.e. when = 0). Gravity is acting