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Discussion on the Teaching of Mechanics*

Published online by Cambridge University Press:  03 November 2016

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Type
Discussion
Information
The Mathematical Gazette , Volume 34 , Issue 309 , September 1950 , pp. 168 - 181
Copyright
Copyright © The Mathematical Association 1950

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Footnotes

*

A discussion at the Annual Meeting of the Mathematical Association, 3rd January, 1950.

References

Page 178 of note* If r be the radius of either wheel, θ its inclination to the vertical when the car is travelling in a straight line and ϕ the angular deviation of the path of the wheel from this line, the vertical height of the centre of the wheel above the ground is given by the expression r cos θ/√(1-sin2 θ sin2 ϕ), which represents a steadily increasing even function of ϕ. It follows that, when the car is steered round a bend, the height of the front axle is slightly increased, and hence, owing to the effect of gravity, the car will tend to “straighten out” automatically after the turn.