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The entire bike is affected with significant changes in steering angle, lean angle (roll), and heading angle (yaw).
In this idealized and linearized model, there are many geometric parameters (wheelbase, head angle, mass of each body, wheel radius, etc)., but only four significant variables: lean angle, lean rate, steer angle, and steer rate.
It is possible to calculate eigenvalues, one for each of the four state variables (lean angle, lean rate, steer angle, and steer rate), from the linearized equations in order to analyze the normal modes and self-stability of a particular bike design.
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CHATSWORTH, England — Two bright blue steel right-angles lean negligently against one another on an expanse of lawn.
The seminars devoted to freshwater angling lean heavily toward those who are in quest of black bass, including those led by two well- known tournament anglers, Shaw Grigsby and Mike DelVisco.
On the eve of her first public encounter with her soon-to-be ex, Janice faces her reflection after putting on that Von Furstenberg dress: "In the mirror she sees sharp angles, lean lines, a point to her chin that lets the world know she is not to be taken lightly".
On a smooth surface, like a desk, you're limited to a pretty tight set of possible viewing angles — lean it too far in either direction, and it'll slip in an instant.
This angle of lean has secured the eyecatching tower a place in the Guinness Book of Records as the "World's Furthest Leaning Manmade Tower".
Also, the radius of curvature for a given steer angle and lean angle is proportional to the wheelbase.
To exit the turn, the bike must again countersteer, momentarily steering more into the turn in order to decrease the radius, thus increasing inertial forces, and thereby decreasing the angle of lean.
The angle of lean, θ, can easily be calculated using the laws of circular motion: :\theta = \arctan \left (\frac{v^2}{gr}\right ) where v is the forward speed, r is the radius of the turn and g is the acceleration of gravity.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com