Planar geared linkages readily lend themselves to function, path and motion generation. Function generation includes any problems in which rotations or sliding motion of input and output elements (either links or gears) must be correlated. In some cases, the designer may want to produce a formal functional relationship between the input and output. In these cases, the input and output rotations can be used as the linear analogs of the independent and dependent variables. In other cases, the designer has no particular functional relationship in mind, but merely wants to produce specific relationships between the input and output at certain "precision points". Path generation involves moving a tracer point along a specified path. A point attached to any "floating" link (such as a coupler) may be used as the tracer point. Motion generation requires that an entire body be guided through a prescribed motion sequence. The body to be guided can be attached to any floating link.
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Thus, a geared 5-bar can be synthesized for a maximum of 6 precision positions of a moving body Acknowledgements--The authors would like to express their appreciation to the National Science Foundation for the support of their research at Rens~lacr Polytechnic Institute through Grant No. G-1231 sponsored by the Engineering Mechanics Program, Enginecring Division of N.S.F. They would also like to thank Mrs. Frances K. Willson for her skill, meticulous care and patience in typing the manuscript. The present paper was presented at the Applied Mechanism Conference, held July 31 and August 1, 1969, and sponsored by Oklahoma State University. This paper is released for publication by the directors of the conference, Dr. A. H. Soni and Dr. I.~ Harrisberger.