A multi-purpose exercise apparatus used for linear and rotational resistance exercises with varying heights, diameters, angular ranges and planes. The apparatus relates to a frame (frame 430) and at least one carriage (300) supported by and movable on the frame. The carriage (300) supports at least one spooling force transmitter (102), and/or at least one translating force transmitter (101), which is connected to a resistance source (resistance source 494) through a flexible connector (476). The spooling force transmitter (102) is connected to a rigid arm (390) to which the user can apply rotational force against the spool and connected resistance. The spooling force transmitter (102) pivots on a positioning axis that is coincident with the longitudinal axis of the flexible connector (476) immediately before the connector attaches to the spooling force transmitter (101). The user can apply force to the translating force transmitter (101) to perform guided straight-line motions in a variety of directions.