Strength training apparatus with multi-cable force production

A method of varying a dynamic resistive force during a strength training exercise includes receiving a selection of the strength training exercise from a set of available strength training exercises and obtaining exercise logic for the strength training exercise from computer memory. The exercise logic provides instructions for generating a vector that defines the dynamic resistive force provided at an end effector of a strength training apparatus during the strength training exercise. The method includes determining a real-time geometric arrangement of a plurality of cables coupled to the end effector, generating, based on the real-time geometric arrangement of the plurality of cables and the exercise logic, time-varying operating setpoints for a plurality of actuator assemblies coupled to the plurality of cables, and exerting the dynamic resistive force at the end effector by controlling the plurality of actuator assemblies in accordance with the time-varying operating setpoints.