Abstract: This invention relates to a machine and method to create force profiles within a two dimensional hemispherical plane. It utilizes an array of electromagnets to exert a magnetic force on a shaft that can pivot in two dimensions. The shaft rotates around the pivot point with one end inside the array of electromagnets and the other end exposed as a handle or end effector. The shaft end located within the array has a permanent magnet or electromagnet to receive a magnetic force from the array. The location of the shaft magnet relative to the array permits its location and force output to be controllable within its hemispherical range of motion. The position of the magnet is determined by Hall effect sensors that report the angular components of the shaft magnet's own magnetic field. The magnetic field of the force generating component is used both for motion and for sensing.