Bertie Wiggins said:James Annan said:I repeat: it is a matter of elementary geometry and mechanics. If you
can't do it, stop pretending that you know better than those of us who
can!
I am not so arrogant as to insist that I am correct; I am not so
conceited as to claim superior mathematical, geometric or mechanical
knowledge. However, I am not going to accept, on your word, that
applying the front brake alone is more effective than applying front
and rear brake together. As the geometry and mechanics is so
"elementary" you may provide a mathematical model to support your
claim, if I cannot follow the "elementary" mathematics I am sure
others can.
Ok, here is a simple version.
If you slow down too fast, you'll go over the handlebars. For a normal
riding position, the limiting deceleration is about 0.6g (and you can't
do a great deal about shifting your CofG). That corresponds to a CofG
that is at an angle of about 30 degrees behind vertical, above and
behind the front wheel's contact point with the ground.
So, once you are braking at this theoretical limit of 0.6g, there is no
weight on the back wheel. Say you want to be a bit more conservative,
and only brake at 0.5g. In this case, you'll have about 9/10 of your
weight on the back wheel and 1/10 on the front (can't be bothered doing
the sums properly). Since the coefficient of friction is unlikely to be
significantly above 1, this limits the braking on the rear wheel to
0.1g at best, ie 20% of your total. Energy dissipation simply doesn't
come into it.
Forrester's 75%/25% is not too unreasonable in practice, especially
given that a rear wheel skid is rarely fatal and generally easy to
recover from. Attempting a ratio of 50%/50% will substantially limit
the deceleration you can achieve, because the rear wheel will start to
skid as your effective weight distribution changes under moderate
braking.
James