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?
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) ?