ABSTRACT
This chapter serves as a text for a course using dual-number methods as well as a manual for the reader to develop his or her abilities for the design of machinery or evaluation of mechanical systems. It has been shown that the displacement of a rigid body from one situation to another constitutes a screw motion, the simultaneous translation along and rotation about a screw axis. The direction and location of the screw axis can be specified by the unit screw vector. The linear velocity of points in a rigid body consists of a sliding component in the direction of the screw axis which is constant for all points of the body and a tangential component which varies with the distance of the point from the screw axis. The relative-velocity equation of elementary kinematics can be extended to dual-number mechanics.
