Am Thu, 26 Oct 2023 00:13:05 -0400 schrieb Frank Krygowski
<
frkr...@sbcglobal.net>:
>On 10/25/2023 5:23 PM, AMuzi wrote:
[...]
>> but for a cyclist center of mass would probably be approximate and
>> conditioned as 'at this moment in time.'
>
>Yes, it's variable. I no longer have the results (I passed most of my
>notes on to my successors) but as I recall, we calculated the location
>for a normal riding position and for a position with the rider's butt
>scooted back as far as possible.
>
>No other takers on how to determine center of mass height? Come on, guys!
While riding? IMHO an approximation or a calculation for an intervall is
good enough, for something as varying as that.*)
A dispute including that question arose in 1995 during an argument in
the German language bicycle newsgroup. A guy warned everyone about the
grave danger of fatal falls caused by braking hard and then going over
the bars, resulting in sudden death. All bicycles should have mandatory
"brake modulators," a spring element that limits the force that can be
applied. Crazy. But there are indeed still bicycles seen now and then
having such elements in the brake cables.
Anyway, I was interested in those questions. How much braking
deceleration is necessary for this? Under what conditions is a topple
even possible?
The first concrete question is then, of course, whether or when the
resulting force vector is above or below the axis of rotation, being the
front wheels axis.
Unfortunately, I've lost my notes too, but from memory ...
Based on the geometry of my road bike
<
https://www.mystrobl.de/ws/fahrrad/pr60ll.jpg> and my body weight at
the time, I estimated that my front wheel would not slip when braking on
dry and clean asphalt because the rear wheel would lift off first. A
further estimation of the energy necessary to lift the whole mass - its
center of mass, that is - to the max, above the front wheel axis,
followed by a conversion to it's speed equivalent of that mass moving
horizontally resulted in about 12 km/h. In short, riding with less that
12 km/h shouldn't cause a topple. The rear wheel will be lifted, but
after the bike coming to a full stop, it will just come down again, in
reverse direction.
To verify my estimation, I tried it somewhat slower, 10 km/h perhaps and
indeed, it happened just as calculated. What came somewhat unexpected
was the experience that the whole event took quite some time - enough
time to somewhat control it. However, it is essential not to apply the
brake too abruptly. After all, it takes energy and time to set the mass
in rotation, too. In addition, it helps to somewhat control it while
going down. Last but not least, don't do it while cornering, even
slightly. A bicycle wheel doesn't like lateral force. I had to retrue a
wheel after lifting the back wheel only a few centimeters in an
emergency brake.
After that initial experiment, I lost all fear of the rear wheel lifting
off, when riding one of my road bikes. It is rarely necessary or
usefull, but sometimes after an emergency brake, I was glad to gain that
little less braking distance.
Disclaimer: Calculation and experience apply to road (racing) bicycles
geometry, utility bicycles with long wheelbase or heavy luggage on the
rear carrier are a different matter. Even with a road bike I'd suggest
to experiment carefully instead of trying to calculate and to apply the
result blindly. Calculation is good for having a baseline what to try,
though.
Notes
*) Build a large version of a balance board
<
https://fitsy.in/uploads/products/312/4ac88fc45d5c40dc9e74e62834e626fd.jpg>
and position a rider and his/her bike in a balanced position there. Or
just use a board large enough, a football and four guys on the four
edges, for getting that in balance.
Going over the bars
<
https://www.sheldonbrown.com/brandt/over-the-bars.html>
--
Thank you for observing all safety precautions