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- Xref: sparky rec.motorcycles:40062 sci.physics:19463
- Newsgroups: rec.motorcycles,sci.physics
- Path: sparky!uunet!stanford.edu!leland.Stanford.EDU!leland.stanford.edu!zowie
- From: zowie@daedalus.stanford.edu (Craig "Powderkeg" DeForest)
- Subject: Re: Slip-sliding away (was Re: What would you ride...)
- In-Reply-To: tomes@iastate.edu's message of Fri, 20 Nov 1992 23:23:18 GMT
- Message-ID: <ZOWIE.92Nov22221114@daedalus.stanford.edu>
- Followup-To: sci.physics
- Sender: news@leland.Stanford.EDU (Mr News)
- Organization: Stanford Center for Space Science and Astrophysics
- References: <1992Nov18.194212.6271@colorado.edu> <1992Nov18.212108.17588@i88.isc.com>
- <ZOWIE.92Nov18195114@daedalus.stanford.edu>
- <By1FMv.LK8@news.iastate.edu>
- Date: 22 Nov 92 22:11:14
- Lines: 61
-
- In article <bar> tomes@iastate.edu () writes:
- In article <foo> zowie@daedalus.stanford.edu (ME!) writes:
- >The front wheel is rotating about the hub, because there is an
- >inertial frame (moving with the bike) in which the wheel's motion is
- >constant and zero along one line -- the center of the axle. There is
- >no inertial frame in which any other part of the wheel is stationary.
- >...
- >And don't give me any of this `contact patch' bullshit, because `the
- >contact patch' doesn't describe any particular part of the tire!
-
- page 21, figure 11.7,"University Physics", Harris Benson, 1991
- `When a wheel rolls without slipping
- the point of contact with the floor is instantaneously
- at rest and acts as an instantaneous center of rotation.'
-
- This is only one of several references that I have seen to 'instantaneous
- centers of rotation' or 'instantaneous roll centers', the rest of the books
- are in storage or at home.
-
- Well -- the problem with `instantaneous centers of rotation' is that
- there's nothing special about 'em. That is, in some other reference
- frame a different part of the wheel will appear to be stationary.
- That part isn't necessarily on the rim, either. If you tell me any
- point on the wheel, I'll hand you back a reference frame in which the
- wheel is instantaneously rotating about it. Yet, for most points on
- the wheel, you would think it absurd to say the wheel was rotating
- about that point.
-
- If the wheel can be said to be rotating about a particular axis at all
- (rather than `instantaneously rotating'), it is rotating about its
- axle.
-
- Sure, you can imagine the motion as an infinite series of cycloids,
- with the wheel hopping from cycloid to cycloid as it rotates. This is
- a valid way to analyze it, and when you're trying to explain rolling
- action to freshmen, it's probably the most convenient. But it's much
- simpler, and, in the sense mentioned in my 50 words, more correct, to
- imagine the motion as a simple rotation about a moving axis.
-
- There -- do we feel better now?
-
- BTW, Craig, if you need help on learning about contact patches, take
- the MSF Experienced RiderCourse: there are some supplemental materials
- handed out that do a very good job of explaining to
- classical-physics-impaired people what they are and why they are a valid
- concept.
-
- I have the materials in question. I don't dispute that contact
- patches are important and etc. I just claim that the contact patch
- isn't a well- defined part of the tire. You can't hold up a part of
- the tire, and say, `This is the contact patch', because different parts
- of the tire are the contact patch at different times.
-
- BTW, tomes, if you need help on learning about netiquette, please read
- net.announce.newusers. There are some supplemental materials posted
- there that do a very good job of explaining to politeness-impaired
- people what it is and why it is a valid way of posting.
-
- Followups to sci.physics; flames to email or alt.flame, please.
- --
- Craig DeForest -- `Before hitting "F", ENGAGE BRAIN'
-