Abstract: An eccentric balancing system for assisting the reciprocal motion of a well pump which includes a first mandrel having wound thereabout a first sheave chain, the wind up of the first sheave chain being arranged for stacked alignment. A second mandrel, mounted for rotation with the first mandrel, is wound in the opposite direction to store in stacked arrangement a second sheave chain which may be either connected to a counter balancing weight or which may be deployed to articulate a second well pump. In the event that the second mandrel is utilized to articulate a second well pump a third mandrel may be utilized for counterbalancing any inequalities between the two well bores. It is intended to include a switching circuit, which according to the playout of the sheave chains engages an electric motor to augment the losses attendant with pumping fluid and the friction losses in each bore.