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#1 |
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in message <321gopF3hf77mU1@individual.net>, James Annan
('still_the_same_me@hotmail.com') wrote: > Your logic is broken, I'll merely point out that the countersteering > is NOT "in effect a short turn in the other direction", it is in fact > a loss of balance in which the _bicycle_ (contact patch) moves to one > side while the _rider_ is left behind. If you did it for more than a > brief moment, you would fall off, not turn. I suggest you try riding a bicycle. You will find that if you lean the 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 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 instructive. There's a PDF on the net somewhere but I've lost the link. -- simon@jasmine.org.uk (Simon Brooke) http://www.jasmine.org.uk/~simon/ The Conservative Party is now dead. The corpse may still be twitching, but resurrection is not an option - unless Satan chucks them out of Hell as too objectionable even for him. |
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#2 |
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On Sun, 12 Dec 2004 13:45:54 +0000, Simon Brooke wrote:
> You should read David Jones paper on the Unrideable Bicycle (_The > Stability of the Bicycle_, Physics Today 23, 34-36); you would find it > instructive. There's a PDF on the net somewhere but I've lost the link. http://socrates.berkeley.edu/~fajan...JonesBikeBW.pdf ..... or so you posted this August. Mike |
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#3 |
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in message
<pan.2004.12.12.14.25.59.898152@firstnamelastname.com.invalid>, Mike Causer ('mikec@firstnamelastname.com.invalid') wrote: > On Sun, 12 Dec 2004 13:45:54 +0000, Simon Brooke wrote: > >> You should read David Jones paper on the Unrideable Bicycle (_The >> Stability of the Bicycle_, Physics Today 23, 34-36); you would find >> it instructive. There's a PDF on the net somewhere but I've lost the >> link. > > http://socrates.berkeley.edu/~fajan...JonesBikeBW.pdf > > .... or so you posted this August. Thanks, yes. I knew somebody would remember. -- simon@jasmine.org.uk (Simon Brooke) http://www.jasmine.org.uk/~simon/ my other car is #<Subr-Car: #5d480> ;; This joke is not funny in emacs. |
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#4 |
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On Sun, 12 Dec 2004 20:31:32 +0000, Simon Brooke wrote:
> Thanks, yes. I knew somebody would remember. In truth, Google remembered for me ...... .... up till today I'd just used the report of Daedelus' findings in D.G. Wilson's "Bicycling Science" 3rd Ed. Mike |
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#5 |
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On Sun, 12 Dec 2004 20:31:32 +0000, Simon Brooke
<simon@jasmine.org.uk> wrote: >in message ><pan.2004.12.12.14.25.59.898152@firstnamelastname.com.invalid>, Mike >Causer ('mikec@firstnamelastname.com.invalid') wrote: > >> On Sun, 12 Dec 2004 13:45:54 +0000, Simon Brooke wrote: >> >>> You should read David Jones paper on the Unrideable Bicycle (_The >>> Stability of the Bicycle_, Physics Today 23, 34-36); you would find >>> it instructive. There's a PDF on the net somewhere but I've lost the >>> link. >> >> >http://socrates.berkeley.edu/~fajan...JonesBikeBW.pdf >> >> .... or so you posted this August. > >Thanks, yes. I knew somebody would remember. 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. Only joking. |
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#6 |
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Simon Brooke wrote: > in message <321gopF3hf77mU1@individual.net>, James Annan > ('still_the_same_me@hotmail.com') wrote: > > >>Your logic is broken, I'll merely point out that the countersteering >>is NOT "in effect a short turn in the other direction", it is in fact >>a loss of balance in which the _bicycle_ (contact patch) moves to one >>side while the _rider_ is left behind. If you did it for more than a >>brief moment, you would fall off, not turn. > > > I suggest you try riding a bicycle. You will find that if you lean the > 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 > other side, and thus you can easily initiate a turn in either > direction. I agree that it is possible to tip the bicycle to one side while riding along no-hands. I suggest you consider what happens when an intantaneously balanced rider does this. Since there is no external lateral force (I assume from your snipping of my question on this point that you do not dispute it) then for the bicycle to move a little to the left, the rider's CoG must move a rather smaller distance to the right. 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 should read David Jones paper on the Unrideable Bicycle (_The > Stability of the Bicycle_, Physics Today 23, 34-36); you would find it > instructive. There's a PDF on the net somewhere but I've lost the link. You should try not to be so patronising from a position of ignorance. You made an arse of yourself only a couple of weeks ago when trying to pontificate about mathematical concepts that you did not understand. I doubt anyone needs the lesson reinforced. I certainly don't. I'll repeat the question from my previous email: >> One can initiate a >> turn by any means which moves the CoG away from vertically above the >> track. Sudden body movements exploiting inertia do this easily - so >> easily, in fact, that it's instinctive. > > > Can you describe such a movement, with particular reference to the source of the external lateral force that is required to move the CoG to one side? You might like to think of it as a torque around the wheel contact patch since the motion can also be viewed as a rotation about that point. (This takes the contact point out of the picture entirely.) Once you accept that (for a balanced rider, eg CoG vertically above tyre contact patch and riding straight ahead) there are no external forces that can move the combined CoG of bike and rider to one side, it is an immediate corollary that the only way to turn to the right, is to make the contact patch move to the left relative to the CoG. That is all that "countersteering" means. 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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James Annan wrote:
> Once you accept that (for a balanced rider, eg CoG vertically above tyre > contact patch and riding straight ahead) there are no external forces > that can move the combined CoG of bike and rider to one side, it is an > immediate corollary that the only way to turn to the right, is to make > the contact patch move to the left relative to the CoG. That is all that > "countersteering" means. I'm sure that I will regret getting involved in this one but... Can't the balanced rider just lean from the hips. I'm writing this while leaning slightly to the right in my chair (In fact, I look a prat because I'm concentrating on the screen while randomly leaning from side to side). I see no reason why this cannot be done on a bike and it would then move the CoG away from the contact patch. Jon |
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#8 |
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[Not Responding] wrote:
> 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. Given the ominous creaks from Igor's back wheel, I think even the spokes are arguing about that one. Must threaten it with a spoke key.. ...d |
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#9 |
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in message <323rgsF3i1binU1@individual.net>, James Annan
('still_the_same_me@hotmail.com') wrote: > Simon Brooke wrote: >> in message <321gopF3hf77mU1@individual.net>, James Annan >> ('still_the_same_me@hotmail.com') wrote: >> >>>Your logic is broken, I'll merely point out that the countersteering >>>is NOT "in effect a short turn in the other direction", it is in fact >>>a loss of balance in which the _bicycle_ (contact patch) moves to one >>>side while the _rider_ is left behind. If you did it for more than a >>>brief moment, you would fall off, not turn. >> >> I suggest you try riding a bicycle. You will find that if you lean >> the 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 other side, and thus you can easily initiate a turn in either >> direction. > > I agree that it is possible to tip the bicycle to one side while > riding along no-hands. I suggest you consider what happens when an > intantaneously balanced rider does this. Since there is no external > lateral force (I assume from your snipping of my question on this > point that you do not dispute it) then for the bicycle to move a > little to the left, the rider's CoG must move a rather smaller > distance to the right. > > 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. >> You should read David Jones paper on the Unrideable Bicycle (_The >> Stability of the Bicycle_, Physics Today 23, 34-36); you would find >> it instructive. There's a PDF on the net somewhere but I've lost the >> link. > > You should try not to be so patronising from a position of ignorance. And he himself has said it, so it must be to his credit... > I'll repeat the question from my previous email: > >>> One can initiate a >>> turn by any means which moves the CoG away from vertically above the >>> track. Sudden body movements exploiting inertia do this easily - so >>> easily, in fact, that it's instinctive. >> >> Can you describe such a movement, with particular reference to the >> source of the external lateral force that is required to move the CoG >> to one side? You might like to think of it as a torque around the >> wheel contact patch since the motion can also be viewed as a rotation >> about that point. (This takes the contact point out of the picture >> entirely.) 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? -- simon@jasmine.org.uk (Simon Brooke) http://www.jasmine.org.uk/~simon/ Ye hypocrites! are these your pranks? To murder men and give God thanks? Desist, for shame! Proceed no further: God won't accept your thanks for murther -- Roburt Burns, 'Thanksgiving For a National Victory' |
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#10 |
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in message <1102892592.11594.0@sabbath.news.uk.clara.net>, Jon Senior
<jon_AT_restlesslemon_DOT_co_DOT_uk> ('') wrote: > James Annan wrote: >> Once you accept that (for a balanced rider, eg CoG vertically above >> tyre contact patch and riding straight ahead) there are no external >> forces that can move the combined CoG of bike and rider to one side, >> it is an immediate corollary that the only way to turn to the right, >> is to make the contact patch move to the left relative to the CoG. >> That is all that "countersteering" means. > > I'm sure that I will regret getting involved in this one but... > > Can't the balanced rider just lean from the hips. I'm writing this > while leaning slightly to the right in my chair (In fact, I look a > prat because I'm concentrating on the screen while randomly leaning > from side to side). I see no reason why this cannot be done on a bike > and it would then move the CoG away from the contact patch. Err, no it wouldn't. James is right about that. Provided it is done slowly and smoothly, as you lean left, the bike leans right, keeping the CoG more or less in the same place WRT the track. Try it when you're riding no hands some time: this is one method by which you can initiate turns (and, to be honest, I don't know of any other when riding no hands). Imagine standing on a tightrope. If you move your upper body slowly to the left, your hips must move right. You can do this just by standing on a line on the floor. The reason is that your only contact with the world is the line, and, as James rightly points out, you have no purchase or leverage to rotate your mass around that line. 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. However, while we're on this subject, a suggestion for James. Stand on a line on the floor, or the edge of a plank, or some similar object, one foot in front of the other. Stand as still as you can. After a time you will inevitably begin to fall to one side or the other. What instinctive body movements do you make to correct your balance? 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? -- simon@jasmine.org.uk (Simon Brooke) http://www.jasmine.org.uk/~simon/ [ This mind intentionally left blank ] |
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#11 |
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in message <esdpr019cpumjopealkqatm6tss2h2bfc8@4ax.com>, [Not
Responding] ('not_responding@dev.null.invalid') wrote: > 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... -- simon@jasmine.org.uk (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 |
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#12 |
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Simon Brooke wrote:
> 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. > 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/ |
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#13 |
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Simon Brooke wrote: >>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. > > 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/ |
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#14 |
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in message <325b97F3gr7ciU1@individual.net>, James Annan
('still_the_same_me@hotmail.com') wrote: > 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. > 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. -- simon@jasmine.org.uk (Simon Brooke) http://www.jasmine.org.uk/~simon/ Age equals angst multiplied by the speed of fright squared. ;; the Worlock |
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#15 |
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in message <325cqfF3fs7tqU1@individual.net>, James Annan
('still_the_same_me@hotmail.com') wrote: > > > Simon Brooke wrote: > >> 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? > 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. -- simon@jasmine.org.uk (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. |
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