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Based on the analysis above, the helical cam will rotate 8 full circles to draw the bottom part, and then another 8 full rotations to draw the top part. In this process, we will need the paper cylinder to rotate 1 full circle for drawing the bottom part and another full circle for the top part. Therefore, we need to design a gear train with an overall gear ratio of 1:8, where the motor will direct drive the paper cylinder while the output shaft that spins the helical cam will rotate at 8 times the angular speed.
Slider analysis
Since we use linear bearings extensively in our cam follower system, it's important that we get the ratios correctly to minimize binding.
Thus, we have the following ratio constraints:
