The roller mechanism follows the path indicated by the blue curve. A circle (closely matching the curve) can be drawn through the curve at this point. We are looking for the radius of this circle.
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When x = -0.2, the radius of
curvature is 0.9
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When x = 1.4, the radius of
curvature is 5.8
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When x = 0.85, this is the situation. What is the radius?
so
This is 1.138 when x = 0.85.
and
This is 2.2958 when x = 0.85.
So the radius of curvature is equal to:
