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Re: "Negotiating" a curve. EUREKA?



The effect I mentioned in my last post is real, but not, at lest
ordinarily, a major effect, alone. It wouldn't turn you on ice! Keep
thinking! Going out now.

Bob

Bob Sciamanda (W3NLV)
Physics, Edinboro Univ of PA (em)
trebor@velocity.net
http://www.velocity.net/~trebor

----- Original Message -----
From: Ludwik Kowalski <KowalskiL@MAIL.MONTCLAIR.EDU>
To: <PHYS-L@lists.nau.edu>
Sent: Saturday, November 06, 1999 4:35 PM
Subject: Re: "Negotiating" a curve. EUREKA?


Hi Bob:

In the spirit of an extreme possible simplification, but
without taking away the essentials, one may consider
two identical tricycles with locked steering columns.
One with the front wheel parallel to the y axis and
another with the front wheel turned to the left by 10
degrees. The initial velocities are identical at time zero.

John_D would probably say (and I was saying the
same thing the other night) that forces in the bearing
are internal and that only external forces matter. This
would certainly be the case if the wheels were locked.
Then I realized that wheels are not rigid and that the
FBD can not be used, except for the rigid platform.
I have to think about the situation again. Reading the
books recommended by Leigh will be the first step.
Regards, Ludwik

Bob Sciamanda wrote:

Ludwik,
It occurred to me (while walking the Lake Erie beach) that the wheel
communicates/interacts with the cycle frame, not only through the
horizontal axle bearings, but also through the (almost) vertical
steering
column bearings. In addition, the wheel interacts with you (the
rider)
through the handlebar/yoke/steering column system. In particular,
when
you turn the wheel for a left turn, your body will turn in the
opposite
direction about the steering column; this forces you toward the center
of
curvature and also makes you lean in that direction. Think on it.
( Note that this is not appealing to any "gyroscopic" effects - what I
describe happens, in principle, even if the wheel is not rotating.)