bonox said:
gyroscopic forces come from a sum of angular momentum. Having two wheels of equivalent rotational inertia on the same axle but spun in opposite directions result in an angular momentum sum of zero. You can try this yourself:
1 wheel on the axle spinning makes it hard to change orientation of the axle (ie gyroscopic precession inhibits the movement)
2 wheels on the axle (spinning opposite directions) shows no inhibition to movement of the axle.
The tests on bicycles used a pair of geared masses (but only one wheel of the pair touches the ground). Result? Bicycle is still stable without precession effects.
Hmm. This is very interesting. I must admit, I went away after this post thinking, yeah, but the same thing happens with kayaks - they are inherently unstable and liable to tip you over when stationary or slow moving, but feel much more secure and stable when under way.
But back to bikes - I can't think of any reason why each wheel would not exert a gyroscopic effect as it rotates at speed, and intuition would suggest having two heavy fast spinning gyroscopes to contribute to the dynamic stability of the bike, but when it comes to physics and mechanics, I trust the physicists of Berkely much more than anyones intuition

.
Jones concludes: "In addition to the rider's skill
and the gyroscopic forces , there are, acting on the front wheel, the centre of gravity lowering torque and the castoring forces; the heavier the bicycles load [and a GS
is heavy] the more important these become." (p.40)
So it seems that it is not that gyroscopic forces are not relevant, but rather that they are one of a number of factors causing stability in two wheeled systems.
I think it is also interesting to note - Jones and the theorists he cites were only working on 'bicycles', and they observed that gyroscopic forces were significant in an unladen (riderless) bicycle, but insufficient to account for the stability of the rider / bicycle system. I presume this is because the gyroscopic forces were low compared to the gravitational effect on the riders mass as a) the wheels of a bicycle are very light, and b) they were only rotating at a relatively low speed.
It would be interesting to see how the numbers are affected by the much heavier mass of motorcycle wheels, and their much faster rotation.
But to return to the point, the article you cite above does observe: "The theory [Timoshenko & Young 1948] explains, for example, that... the faster a bicycle moves, the easier it is to ride (because a smaller steering adjustment is needed to create the centrifugal correction) and that it cannot be balanced when stationary." (p.35).
This is actually the core point I was making: whether it is because of gyroscopic effect, castor effect or some other more obscure physical property of the motorbike system, the advice to the newbie off-roader remains the same - your bike is more stable moving at a moderate pace than when crawling very gingerly at walking pace or less, so don't be too cautious, and as far as possible, keep a decent pace up on the rough stuff.
