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The effective length of link 4 (c) and the angular offset (delta) between link 4 and the output vector P can be determined from a geometric analysis of the lengths c1, c2, and the relative angle beta, as defined in the figure. 

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 This has the effect of modifying the output sweep between left side only, right side only, full range, narrow centered, and various intermediate combinations.

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The analysis repeated for the prescribed dial settings for left, right, center, and full sweep ranges (120°, 300°, 215°, and 20°, respectively). The XY position of the resulting nozzle location, P, with respect to the global XY coordinate frame is shown below. 


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A velocity analysis was also performed to determine the angular velocity of the output nozzle with respect to the rotation angle of the nozzle. 

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