Methods and apparatus for manufacturing operations using opposing-force support systems are disclosed. In one embodiment, an apparatus includes a track assembly adapted to be attached to a workpiece, and a carriage moveably coupled to the track assembly. The carriage includes a tool support adapted to receive and support a manufacturing tool. An opposing-force support assembly is operatively coupled to the carriage and is adapted to be secured to the workpiece. The opposing-force support assembly at least partially counterbalances a manufacturing force exerted on the workpiece by the manufacturing tool.