Can a Square Roll.docx - Can a Square Roll by J Schattman Sir John A Macdonald Secondary School Waterloo Ontario Canada Introduction Can a square wheel

Can a Square Roll.docx - Can a Square Roll by J Schattman...

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Can a Square Roll? (1) The Big Picture* We're looking for a road surface that will keep the center of the square at a constant height as it rolls. We'll assume the wheel rolls clockwise (i.e. to the right) without slipping, and parallel to the x -axis on top of a curve . For convenience, we'll assume the square starts off pointy-side
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down, so that . Let be the distance from the center of the square to the point of contact with the road, .
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