An exercise machine having band grips mounted on arms that reciprocate at a pre-set incrementally increasing rate of reciprocation and at an applied force capacity greater than a resistive force applied by the user. The band grips are universally mounted for manipulation by the user for repositioning the hands at the beginning of each stroke of reciprocation without removing the hands from the grips, thereby exercising alternate opposing it is. muscle groups during alternate strokes of reciprocation and allowing the user to apply a desired resistive force, which force is measured and displayed for viewing by the user during exercise.