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I also noticed that the displacement of the penguin could be described by trigonometry equations after reaching the maximum displacement value. From 296 degrees to 350 degrees, the maximum radius of the cam is in contact with the follower and forms the triangle:

where Where displacement, s, is calculated with the following equation:

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From 350 degrees to 360 degrees, the maximum radius of the cam loses contact with the follower and the follower slides down the straight edge of the cam and forms the triangle:

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Where displacement, s, is calculated with the following equation:

Image Added

Equations 14 and 15 are plotted with my own displacement measurements and the displacement trend line over the angle range of 296 degrees to 360 degrees in Figure ....