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## Homework Statement

Bike has leaned, passing via corner.

Centrifugal forces ( m*(V*V/R)*sin(alpha) ) are trying to upright the bike,

gravity forces ( m*g*cos(alpha) ) to lean it further, so the balance lean angle comes

tg(alpha) = V*V/R/g,

where V is bike speed, R is curve radius, g is 9.81

This math calculates the cog lean easily,

but neglecting the gyro effects of rotating wheels.

My question is how to assess this influence for a bike in corner?

## Homework Equations

## The Attempt at a Solution

Let's assume bike is turning left. So the wheels, forced by the frame.

Thus wheels try to precess, their angular momentum L which is pointing left,

is forced to go up, due to the ext.momentum pointing up,

this way wheel axle try to upright wheel, and bike respectively,

creating frame reaction momentum M which counteracts,

it's vector pointing backwards. This momentum can be

calculated as cause of the forced precessing wheels to left following the corner.

M= WxL , where W is angular speed via the corner : V/R,

L is (wheel inertial moment)*V/(wheel radius),

angle between them ( which sine will be used ) is 90+ alpha(lean angle)

So, may I summarize that each wheel tries to help the bike go up,

with momentum : (W/R)*((wheel inertial moment)*V/(wheel radius))*cos(alpha) ?