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Bicycle model in chapeter 10 #509

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fenaux opened this issue Jul 23, 2024 · 0 comments
Open

Bicycle model in chapeter 10 #509

fenaux opened this issue Jul 23, 2024 · 0 comments

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@fenaux
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fenaux commented Jul 23, 2024

Many thanks for this fantastic book

Just to make bicycle model calculation more clear to me.
Assuming both wheels are on the same circle of radius R (that is exactly the no slip assumption)
then pure trigonometry gives w / R = tan(alpha) (as both radius are perpendicular to wheels)
and then with beta = d / R
we obtain beta = d / w * tan(alpha)

otherwise the relationship beta = d / w * tan(alpha) at the beginning seems to come "out of the hat".

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