A hydrodynamic bearing in the form of a flex pad bearing includes configurations structured to change a bearing characteristic. One form of the bearing includes a nonlinear back wall that includes a circular arc and a transition, where the back wall extends radially outward of a ligament. The bearing can include an opening for the deposit of a weighted mass, wherein the opening can threadingly receive a threaded weighted mass. In one form a sidewall that includes the back wall segment can have an average outer radius which determines a thickness of the flex pads.