A force transmission transmits a force received by two rotational inputs to an output gimbal plate. Two capstans receive the rotational input. The capstans drive cables connected to three levers. A cable is connected directly from each of the capstans to one of two levers. Another cable is connected to both capstans and passes over a pulley rotatably coupled to the third lever. Each of three linkages has a first end coupled to one of the three levers and a second end coupled to the output gimbal plate. Rotation of each of the first and the second input capstans causes the three cables to move the three levers such that there is no net movement of the three seconds ends of the linkages with respect to the center of motion of the output gimbal plate. The output gimbal plate may orient a mechanically actuated surgical tool.