Cable-actuated differential enabling N degrees of freedom provided by a plurality of pulleys and at least N+1 tensioning cables. The cable-actuated differential increases a dynamic force range by minimizing co-activation of the tensioning cables at any operating point. A cable-actuated differential having three cables provides motor based control of a 2 DOF joint that can be applied to robots or teleoperation. A cable-actuated mechanical differential having opposing bevel gears and a middle bevel gear meshed with the opposing gear allows an output connector to controllably and independently rotate about the x axis or y axis via three operational modes without backlash.