An exercise machine in one embodiment includes a frame, a pivot arm, an adapter mounted on the pivot arm to adjust between various adapter positions, and an operator engagement device mounted on the adapter to adjust between various engagement device positions. The adapter is typically telescopically mounted on the pivot arm to extend and retract along a first axis about which the adapter is also rotatable. The engagement device is typically telescopically mounted on the adapter to extend and retract along a second axis which is transverse to the first axis and about which the engagement device is rotatable. The embodiments may include a pivotal connection between the pivot arm and a generally T-shaped handle for positioning the handle and for enhancing the use of the handle. Handle extenders may be included to lengthen a typical T-shaped handle. Unique cable and pulley configurations are also disclosed.