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UK and Europe
Published
9 December 2004
Last activity
14 December 2004
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Brian Drury
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  1. in message <[email hidden]>, [Not

    Responding (') said:

    Now that we've sorted whether you turn left or right to turn left, can
    we move on to whether the wheel hangs or rests on the spokes please.

    I'm not going to hang around for that. I couldn't stand it...

    --
    [email hidden] (Simon Brooke) http://www.jasmine.org.uk/~simon/
    Das Internet is nicht fuer gefingerclicken und giffengrabben... Ist
    nicht fuer gewerken bei das dumpkopfen. Das mausklicken sichtseeren
    keepen das bandwit-spewin hans in das pockets muss; relaxen und
    watchen das cursorblinken. -- quoted from the jargon file

  2. Simon Brooke said:

    The line or tightrope has some of the physics of a bike. On a bike, the
    line is the track. However, on a bike, unlike a tightrope, the line can
    be moved WRT the mass, by steering.

    That's bass-ackwards, of course. The tightrope can (and does) move
    sideways under the performer. Look at those two brackets, and imagine
    them to be a view of the performer from the rear. The left bracket has
    the feet to the right of the CoG, and vice-versa. The bicycle contact
    patch can only move sideways if the bicycle is steered to the side.

    Quoted message said:

    I think you will find that you make jerky movements of your shoulders
    and arms. I think you will find that, some of the time at least, the
    inertia from these jerky movements is sufficient to correct your
    balance. If so, you must concede that this instinctive exploitation of
    inertia gives you sufficient torque around the line to actually move
    your centre of gravity. And if it works standing on a line, why can it
    not work on a bicycle?

    Well, standing on a single foot is not much problem for someone with
    decent balance - it provides a platform several inches across and
    twisting one's ankle can shift the effective pressure point from one
    side to the other, giving a fair bit of wobble room before one risks
    overbalancing. As the support gets narrower, it gets much harder, until
    one (well, me at least) can only resort to increasingly desperate and
    wild waving around of the arms. This can generate small temporary
    torques, but has little to do with normal bike riding (even hands off)
    and only prolongs the inevitable for a few seconds.

    If you think you can control your balance a bicycle by this method, then
    you should also be able to ride one in which the fork is locked straight
    ahead. A few circus performers might be able to manage it, but 99.9% of
    riders certainly cannot, and it has nothing to do with normal riding.

    James
    --
    If I have seen further than others, it is
    by treading on the toes of giants.
    http://www.ne.jp/asahi/julesandjames/home/

  3. Simon Brooke said:
    Quoted message said:

    So we have the bicycle marginally to the left of the rider, and
    turning further to the left.

    In the immortal words of David Vine,

    "What happens next"?

    You adjust your balance and carry on normally. As to how you do this,
    see below.

    Quoted message said:

    Certainly. The issue is entirely in the rapidity of acceleration and
    deceleration of body movement, exploiting inertia. If it were not
    possible to adjust balance in this way, riding a unicycle, for
    instance, or walking on a tightrope, would be impossible. Yet they are
    not. If it can be done on a tightrope, why is it impossible on a
    bicycle?

    As I've already mentioned, the tightrope moves laterally under the
    performer. This is also a trick that takes quite some skill (I doubt
    many would go to the circus just to see a normal cyclist riding along).
    A unicycle is also moved under the rider, in the fore-aft plane as well
    as from side to side. The relevance of that to your point is not clear,
    but then again, your point is not clear in itself.

    Now, back to the cyclist. Assume this time he is not a circus performer.
    How does he apply sufficient torque to himself to move himself bodily
    from one side to the other of the contact patch. If you believe he can
    do this, do you also believe he can ride a bicycle with the forks locked
    straight ahead? If not, why not? Surely the same "adjust your balance
    annd carry on normally" trick should work there too, shouldn't it?

    James
    --
    If I have seen further than others, it is
    by treading on the toes of giants.
    http://www.ne.jp/asahi/julesandjames/home/

  4. Jon Senior said:

    Not sure that counter steer has any effect on trikes. I think the
    steering is always positive (I'm sure Mr Larrington can offer an
    example of a lean steer trike to prove me wrong though!).

    I would imagine counter-steering to be counter-productive on trikes, just as
    it would be in a motorcar[1]. There have been leaning trikes, usually with
    the paired wheels in the back, but occasionally tadpoles, notable the
    Tripendo.

    Quoted message said:
    Quoted message said:

    It might be trikes aren't prone to the same counter-steer effect, of
    course, since they a) don't lean over (no two-wheeled cornering for
    me, yet)

    This is the key point. There is no lean in trike cornering.

    Not of the machine, but the rider may wish to lean towards the inside of the
    bend in order to keep the inside wheel on the deck and/or keep the rubber on
    the outside tyre. I once managed to scrape my martlehat against the road
    while negotiating teh Eastway hairpin on a Windcheetah...

    1 - except if one is a mad Scandiwegian intent on circumnavigating Finland
    without using the clutch

    --

    Dave Larrington - http://www.legslarry.beerdrinkers.co.uk/
    World Domination?
    Just find a world that's into that kind of thing, then chain to the
    floor and walk up and down on it in high heels. (Mr. Sunshine)

  5. in message <[email hidden]>, James Annan

    (') said:

    until one (well, me at least) can only resort to increasingly
    desperate and wild waving around of the arms. This can generate small
    temporary torques,

    Thank you, that is what I said.

    Quoted message said:

    but has little to do with normal bike riding (even
    hands off)

    Evidence, please? I believe it has everything to do with normal bike
    riding. You are, of course, correct that balancing on a _moving_ bike
    is substantially easier than balancing on the edge of a plank, but that
    is because very small control inputs ('small temporary torques', in
    your own words) are sufficient, in conjunction with the sensitive
    lean-steering of a conventional bicycle, to keep the show on the road.

    --
    [email hidden] (Simon Brooke) http://www.jasmine.org.uk/~simon/

    Age equals angst multiplied by the speed of fright squared.
    ;; the Worlock

  6. in message <[email hidden]>, James Annan

    (') said:
    Simon Brooke said:

    Certainly. The issue is entirely in the rapidity of acceleration and
    deceleration of body movement, exploiting inertia. If it were not
    possible to adjust balance in this way, riding a unicycle, for
    instance, or walking on a tightrope, would be impossible. Yet they
    are not. If it can be done on a tightrope, why is it impossible on a
    bicycle?

    As I've already mentioned, the tightrope moves laterally under the
    performer.

    I suggested to you that you try this yourself with a line on the floor.
    Are you suggesting that the whole building moves? If the whole building
    does not move, how does the trick work?

    Quoted message said:

    Now, back to the cyclist. Assume this time he is not a circus
    performer. How does he apply sufficient torque to himself to move
    himself bodily from one side to the other of the contact patch. If you
    believe he can do this, do you also believe he can ride a bicycle with
    the forks locked straight ahead? If not, why not? Surely the same
    "adjust your balance annd carry on normally" trick should work there
    too, shouldn't it?

    No, clearly you can't, because that bike cannot turn; a normal bike
    turns if you lean it. It is this fact combined with body movement which
    makes riding no hands possible - I assume you _can_ ride no hands.

    --
    [email hidden] (Simon Brooke) http://www.jasmine.org.uk/~simon/

    Morning had broken. I found a rather battered tube of Araldite
    resin in the bottom of the toolbag.

  7. In article said:
    Velvet said:

    I was asking but from a slightly different perspective, that of having
    tried a 'bent tadpole. I remembered feeling something the first few
    times I steered (then got used to it) where it felt almost like it
    wanted to go the opposite direction to where I'd just told it to, then
    would snap back to the 'right' way we were turning. At the time I
    thought it was possibly just bodyweight shifting to the 'outer' side of
    the turn before I compensated to lean 'in' to the turn, but what you
    said made me wonder :-)

    Not sure that counter steer has any effect on trikes. I think the
    steering is always positive (I'm sure Mr Larrington can offer an example
    of a lean steer trike to prove me wrong though!).

    http://www.maxmatic.com/ttw_hpv.htm but I wouldn't swear any of them rely
    on countersteer (I think the Aileron would, in high speed "unlocked" mode).

    A "virtual single-track"/"free lean" tilting three-wheeler like
    http://www.moebius.es/ccalleja/index.htm will countersteer like a two
    wheeler, and you could build an HPV using the same principles.

    Some one who reads German might be able to tell whether this does:
    http://www.cx500c.de/cx_artikel/1984_02_motorrad.htm

  8. Simon Brooke said:

    in message <[email hidden]>, James Annan
    ([email hidden]'😉 wrote:

    Quoted message said:

    I suggest you try riding a bicycle. You will find that if you lean


    the

    Quoted message said:

    bicycle to one side, it will turn to that side, without any need for
    any other steering input. If you lean your body to one side, thus
    moving your centre of gravity, then the bike will naturally lean to


    the

    Quoted message said:

    other side, and thus you can easily initiate a turn in either
    direction. You can demonstrate this easily by holding the bike by the
    back of the saddle and pushing it along at walking pace; the bike is
    easy to control just by leaning it. Or just ride no hands.

    You should read David Jones paper on the Unrideable Bicycle (_The
    Stability of the Bicycle_, Physics Today 23, 34-36); you would find


    it

    Quoted message said:

    instructive. There's a PDF on the net somewhere but I've lost the


    link.

    The paper is concerned with the stability of the bicycle, and at least
    lays the gyroscopic theory to rest, but does not appear to address the
    issue of how a controlled turn is initiated. I don't think
    counter-steering is even mentioned.

    Certainly counter-steering can be used to initiate a turn. Try the
    experiment of riding no-hands and giving one side or other of the bars
    a gentle push forwards. The bike will lean to the pushed side and the
    bars will turn against the push, entering a smooth turn. I am not
    convinced, however, that this is the mechanism by which I normally
    enter a turn. I feel as though the turn happens by itself and I just
    control its magnitude.

    Here's an alternative idea which may explain Jones' finding that a very
    stable bike is difficult to ride, and why racers prefer bikes that are
    less stable, or "twitchier", than utility riders would enjoy. As we
    ride along we are all the time making minute corrections as the bike
    begins to fall one way or the other. We must be doing this or riding
    no-hands would be just as easy as hands-on. These corrections are in
    the intuitive direction - the bars are turned towards the direction of
    lean - and small and quick enough to take place at a subliminal level,
    much like the corrections we constantly make in order to stand upright,
    for example.

    Now, when we wish to turn in one direction we simply stop correcting
    when the bicycle naturally starts to fall that way, or over-correct
    when it starts to fall the wrong way. When the turn has become as steep
    as we wish we correct to stop it increasing further. To exit the turn
    we correct some more. Everything is intuitive and we are not aware of
    any action on our part to initiate the turn. Learning to ride a bike is
    a process of training the nervous system to associate the appropriate
    movements with correcting the imbalance. Very like walking, the time
    this process takes varies from one individual to another, but once
    complete is permanent. It's a truism that you never forget how to ride
    a bike.

    This also explains why it is so difficult to make a sudden turn. You
    cannot turn by the normal process any sooner or any more rapidly than
    the bike would naturally have fallen anyway. You can, however, rapidly
    initiate a steep turn by counter-steering. This can be learned and
    performed consciously but is not intuitive.
    That's my theory at any rate.

    --
    Dave...

  9. Simon Brooke said:

    a normal bike
    turns if you lean it. It is this fact combined with body movement which
    makes riding no hands possible - I assume you _can_ ride no hands.

    It depends on the geometry - I can ride no hands on my town runaround,
    but on my elderly road bike it's impossible. [1]

    R.

    [1] FCVO "impossible".

  10. Simon Brooke said:

    in message <[email hidden]>, James Annan
    ([email hidden]'😉 wrote:

    Quoted message said:
    Quoted message said:

    Now, back to the cyclist. Assume this time he is not a circus
    performer. How does he apply sufficient torque to himself to move
    himself bodily from one side to the other of the contact patch. If


    you

    Quoted message said:
    Quoted message said:

    believe he can do this, do you also believe he can ride a bicycle


    with

    Quoted message said:
    Quoted message said:

    the forks locked straight ahead? If not, why not? Surely the same
    "adjust your balance annd carry on normally" trick should work
    there too, shouldn't it?

    No, clearly you can't, because that bike cannot turn; a normal bike
    turns if you lean it. It is this fact combined with body movement
    which makes riding no hands possible - I assume you _can_ ride no
    hands.

    The bike would not need to turn. In order to ride a straight line the
    cyclist would simply need to keep the combined CofG of himself and the
    bike directly over the line between the contact patches of the two
    tyres.

    --
    Dave...

  11. in message <[email hidden]>,

    dkahn400 (') said:
    Simon Brooke said:

    in message <[email hidden]>, James Annan
    ([email hidden]'😉 wrote:

    Quoted message said:
    Quoted message said:

    Now, back to the cyclist. Assume this time he is not a circus
    performer. How does he apply sufficient torque to himself to move
    himself bodily from one side to the other of the contact patch. If


    you

    Quoted message said:
    Quoted message said:

    believe he can do this, do you also believe he can ride a bicycle


    with

    Quoted message said:
    Quoted message said:

    the forks locked straight ahead? If not, why not? Surely the same
    "adjust your balance annd carry on normally" trick should work
    there too, shouldn't it?

    No, clearly you can't, because that bike cannot turn; a normal bike
    turns if you lean it. It is this fact combined with body movement
    which makes riding no hands possible - I assume you _can_ ride no
    hands.

    The bike would not need to turn. In order to ride a straight line the
    cyclist would simply need to keep the combined CofG of himself and the
    bike directly over the line between the contact patches of the two
    tyres.

    I suspect that's not possible (or at least exceedingly difficult) unless
    you are a highly trained acrobat. In any case, places where you could
    ride a bike which is only capable of travelling in a straight line are
    pretty rare.

    --
    [email hidden] (Simon Brooke) http://www.jasmine.org.uk/~simon/
    -----BEGIN GEEK CODE BLOCK-----
    Version: 3.1
    GP/CS s++: a+ C+++ ULBVCS*++++$ L+++ P--- E+>++ W+++ N++ K w--(---)
    M- !d- PS++ PE-- Y+ PGP !t 5? X+ !R b++ !DI D G- e++ h*(-) r++ y+++
    ------END GEEK CODE BLOCK------

  12. in message <[email hidden]>, Richard

    (') said:
    Simon Brooke said:

    a normal bike
    turns if you lean it. It is this fact combined with body movement
    which makes riding no hands possible - I assume you _can_ ride no
    hands.

    It depends on the geometry - I can ride no hands on my town runaround,
    but on my elderly road bike it's impossible. [1]

    Oh, indeed. When I first got my Jekyll I couldn't ride it no hands. I
    thought this must be a feature of the lefty fork until I took the
    remote rear lockout control off, when it became easy to ride no
    hands... it was the springyness of the cable which had been upsetting
    the handling.

    Bike steering is by and large pretty sensitive; it needs only very small
    forces to steer a bike.

    --
    [email hidden] (Simon Brooke) http://www.jasmine.org.uk/~simon/

    ;; If you're doing this for fun, do what seems fun. If you're
    ;; doing it for money, stop now.
    ;; Rainer Deyke

  13. David Martin said:
    the.Mark said:

    It's not just manhole covers that can be dangerous when damp,
    white lines can be too. I came off last week when I crossed
    the white line marking out a bus lane. Luckily I ended up
    with just a bruised knee.

    How did you fall off the windcheetah? or were you too used to
    the extra stability of three wheels?

    It's risk compensation you know...

    ..d

    The roads are too mucky for the windcheetah. :-(
    I was on the MTB and I was changing lanes to overtake all the cars in the
    bus lane. I was hardly moving when my front wheel crossed the white line and
    just dissappeared from under me.

    I was wondering what the bus lanes were for if the cars just use them when
    they feel like it. Tonight I saw a police car following all the other
    drivers into it like they were sheep.
    --
    Mark

    1x1 wheel, 3x2 wheels & 1x3 wheels.

  14. Simon Brooke said:


    Quoted message said:

    but has little to do with normal bike riding (even
    hands off)

    Evidence, please? I believe it has everything to do with normal bike
    riding.

    Because if you could do what you claim, you could ride a bike with a
    locked headset. And you can't, unless perhaps you are a circus performer
    or an extremely well-practised trials rider.

    (Actually, tipping the bike from side to side will shift the contact
    patch perhaps a centimetre - even an inch with fat tyres - but this is
    certainly an insufficient margin for the vast majority of humans to
    balance indefinitely, and therefore cannot explain how they are doing it
    in normal riding.)

    James
    --
    If I have seen further than others, it is
    by treading on the toes of giants.
    http://www.ne.jp/asahi/julesandjames/home/

  15. Simon Brooke said:

    in message <[email hidden]>, James Annan
    ([email hidden]'😉 wrote:

    Quoted message said:
    Quoted message said:

    As I've already mentioned, the tightrope moves laterally under the
    performer.

    I suggested to you that you try this yourself with a line on the floor.
    Are you suggesting that the whole building moves? If the whole building
    does not move, how does the trick work?

    As I said, the width of my foot provides ample margin - several inches,
    so long as I can keep my CoG within those bounds there is no problem.
    With a tyre contact patch, there is no way of moving the centre of
    pressure without actually moving the contact patch itself - which
    leaning the bike will do, but only a very small amount. If you claim
    this is adequate for you to balance, then you are mch more talented than
    me and should also be able to balance (and ride) a bike with locked
    headset. Can you do this?

    Quoted message said:

    No, clearly you can't, because that bike cannot turn; a normal bike
    turns if you lean it. It is this fact combined with body movement which
    makes riding no hands possible - I assume you _can_ ride no hands.

    But a minute ago, you were claiming that you can bodily move your CoG
    from side to side by significant amounts just with a wiggle of your hips
    while sitting on your bike. Are you now admitting that you can't do this
    after all? Does "adjust your balance and carry on normally" (from your
    description of hands-free riding) involve steering the bike so that it
    moves back under the rider, or the rider moving himself to catch up with
    where the contact patch went?

    Let's go back to the top here: you are claiming that, starting from a
    balanced position, you can turn right just by moving your CoG to that
    side, without any need to countersteer. In that case, why can you not
    move your CoG from side to side at will to maintain balance on a bike
    with fixed headset (which might as well be stationary)? Could it be that
    your mental model of what you think you are doing, does not match
    reality? If not, then what else do you suggest as a reason?

    James
    --
    If I have seen further than others, it is
    by treading on the toes of giants.
    http://www.ne.jp/asahi/julesandjames/home/

  16. Simon Brooke said:
    Quoted message said:

    The bike would not need to turn. In order to ride a straight line the
    cyclist would simply need to keep the combined CofG of himself and the
    bike directly over the line between the contact patches of the two
    tyres.

    I suspect that's not possible (or at least exceedingly difficult) unless
    you are a highly trained acrobat.

    I suspect it's just within the bounds of the possible.

    Quoted message said:

    In any case, places where you could
    ride a bike which is only capable of travelling in a straight line are
    pretty rare.

    Large field? I didn't think we were discussing the bike with locked
    steering as practical transport, but rather as an exercise in
    investigating stability. So what if the opportunities to ride one are
    somewhat limited?

    --
    Dave...

    Get a bicycle. You will not regret it. If you live. - Mark Twain

  17. in message <[email hidden]>, James Annan

    (') said:
    Simon Brooke said:
    Quoted message said:

    but has little to do with normal bike riding (even
    hands off)

    Evidence, please? I believe it has everything to do with normal bike
    riding.

    Because if you could do what you claim, you could ride a bike with a
    locked headset. And you can't, unless perhaps you are a circus
    performer or an extremely well-practised trials rider.

    I don't see that that follows, at all. Very small inputs will steer a
    bicycle with unlocked steering, and, as you acknowledge, steering a
    bicycle moves the contact point WRT the CoG. Consequently the bicycle's
    inherent lean steer acts as a servo mechanism, transforming relatively
    small inputs into relatively large corrections.

    Again, I suggest to you that you are allowing theory to blind you to
    empiricism; you are so certain that you are right that you are not
    prepared to actually get on a bike and try it. Theory is fine in
    itself, of course, but testing it against the real world is better.

    --
    [email hidden] (Simon Brooke) http://www.jasmine.org.uk/~simon/
    .::;===r==\
    / /___||___\____
    //==\- ||- | /__\( MS Windows IS an operating environment.
    //____\__||___|_// \|: C++ IS an object oriented programming language.
    \__/ ~~~~~~~~~ \__/ Citroen 2cv6 IS a four door family saloon.

  18. in message <[email hidden]>, James Annan

    (') said:
    Simon Brooke said:

    in message <[email hidden]>, James Annan
    ([email hidden]'😉 wrote:

    Quoted message said:
    Quoted message said:

    As I've already mentioned, the tightrope moves laterally under the
    performer.

    I suggested to you that you try this yourself with a line on the
    floor. Are you suggesting that the whole building moves? If the whole
    building does not move, how does the trick work?

    As I said, the width of my foot provides ample margin - several
    inches, so long as I can keep my CoG within those bounds there is no
    problem.

    So place a plank on its edge on the floor, clamping it so that it can't
    fall over, and stand on that. Yes, I have done it. Yes, you (or at
    least I) can balance on it just as easily. If you won't try the
    empirical experiment then we really are arguing about angels and
    pinheads.

    Quoted message said:

    But a minute ago, you were claiming that you can bodily move your CoG
    from side to side by significant amounts just with a wiggle of your
    hips while sitting on your bike. Are you now admitting that you can't
    do this after all? Does "adjust your balance and carry on normally"
    (from your description of hands-free riding) involve steering the bike
    so that it moves back under the rider, or the rider moving himself to
    catch up with where the contact patch went?

    This is simply getting silly. Get out on a bike and ride it, no hands,
    and then come back with an explanation of how you initiated a 'counter
    steer'. If, as you say, a turn cannot be initiated without counter
    steer, then, no hands, the counter steer cannot be initiated either;
    conversely, if the 'counter' steer can be initiated, then it can be
    continued into a turn to the same side - and yes, you will, whether you
    like it or not, "adjust your balance and carry on normally". The
    movement of the body and of the contact patch form part of the same
    feedback loop - the body responds to movements of the contact patch,
    and the contact patch responds to movements of the body.

    Find a dry road with a puddle on it; ride through the puddle, then
    initiate the turn, then go back and look at the wheel tracks. Theory is
    fine, but the real world is better.

    And remember, I'm not saying you _can't_ counter steer. I know you can.
    I'm saying you _don't_ _have_ _to_. So a photograph of tracks showing
    counter steer does not disprove what I'm saying. But a photograph of
    tracks clearly not showing counter steer clearly does prove what I'm
    saying. I'll take one as soon as the rain stops.

    Time to put up or shut up.

    --
    [email hidden] (Simon Brooke) http://www.jasmine.org.uk/~simon/

    ;; Semper in faecibus sumus, sole profundum variat.

  19. the.Mark said:

    I was wondering what the bus lanes were for if the cars just use them
    when they feel like it. Tonight I saw a police car following all the
    other drivers into it like they were sheep.

    On the way home last night, after 7 pm when most of the bus lanes revert to
    being unbus lanes, /no-one/ was using them except cyclists and buses. I'm
    just a primitive creature of the heath, so excuse my savage ignorance, but
    how do people with that level of inability to read basic road signs manage
    to get driving licences?

    --

    Dave Larrington - http://www.legslarry.beerdrinkers.co.uk/
    World Domination?
    Just find a world that's into that kind of thing, then chain to the
    floor and walk up and down on it in high heels. (Mr. Sunshine)

  20. Simon Brooke said:

    So place a plank on its edge on the floor, clamping it so that it can't
    fall over, and stand on that. Yes, I have done it. Yes, you (or at
    least I) can balance on it just as easily. If you won't try the
    empirical experiment then we really are arguing about angels and
    pinheads.

    Ok, let's walk through this very slowly, one point at a time.

    You can balance on a plank edge, but not on a bicycle with fork fixed
    straight ahead (I think we probably agree it doesn't matter much whether
    the bicycle is rolling or stationary). Can you identify the significant
    difference(s) between the two cases?

    Quoted message said:

    This is simply getting silly. Get out on a bike and ride it, no hands,
    and then come back with an explanation of how you initiated a 'counter
    steer'. If, as you say, a turn cannot be initiated without counter
    steer, then, no hands, the counter steer cannot be initiated either;

    That is simply nonsense. It is easy to explain how countersteering works
    with hands-free riding. Going from straight ahead into a right turn: tip
    the bike to the left, and rider to the right (combined CoG will not move
    significantly). The bike turns to the left, the tyre contact point moves
    to that side away from under the rider. Then tip the bike back to the
    right and rider towards the left - but keeping the rider somewhat to the
    right of the contact patch (it would be hard to avoid doing this). The
    bike will be leaning right, and the bike plus rider go round the corner
    together. During this procedure, the combined CoG of bike and rider
    hardly moves laterally, but the tyre contact patch moves to the left
    thus enabling the turn to take place.

    You, on the other hand, seem to be proposing the following: in order to
    turn right, you tip the bicycle to the right, and the rider to the left.
    The bicycle turns right, and the contact point moves away from under the
    rider. Then, the rider somehow manages to haul himself back across to
    the _other_ (RH) side of the contact patch even as it is running away
    from him, a near-miraculous process that you dismiss without explanation
    as "adjust your balance and carry on normally". During this procedure,
    the CoG moves substantially to the right, even while it is being pushed
    in the opposite direction (by the ground reaction force as soon as the
    contact patch moves from under the rider).

    Since you claim to be able to do this, it is not clear why you do not
    believe you can also do it in the case where the bicycle is constrained
    to run in a straight line. In that case, you have less far to go to get
    back on top of the contact patch, which must make it easier. So why is
    it somehow harder?

    James
    --
    If I have seen further than others, it is
    by treading on the toes of giants.
    http://www.ne.jp/asahi/julesandjames/home/

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