[email protected] wrote:
> I think I understand your example, but we are talking about two
> mechanisms here not one. If you were to take your thumb and push hard
> on the trailing end of the brake pad without loading the lever/cable at
> all, you would see (if your thumb was strong enough) the body of the
> canti twist and move in towards the rim. similarly if you grab the
> lever as hard as you can when the wheel is still the self energizing
> mechanism doesn't come into play.. the only force you can exert on the
> rim comes from the cable. The two mechanisms are related but
> essentially independent in their operation.
OK when a brake is actuated it "pushes" on the rim. According to
Newton, the rim must also be "pushing" back i.e. trying to move the pad
away from the rim.
The quantity of these balanced forces is reflected in the tension on
the brake cable. Now when we add the additional force of the "self
energizing" effect, where does that additonal force go if not into
cable tension? Of course that is in a system where we are assuming
non-real things such as a friction-free system.
As we have been bantering with this I think I am seeing anther
explanation for why these brakes are generally perceived as having a
benefit in actual use. The additional force which is presumably applied
to the brake pad does not have to be applied through movement of the
cable, although the cable *system* still must counteract or balance any
such additional force. Since the cable does not need to move, some of
that force can be balanced by static friction within the system. It's a
bit like throwing a rope over a tree branch and being able to
statically support a weight (at the weighted end) using a force less
than the weight being supported (at the supporting end) by relying on
the friction of the rope on the branch to make up the difference. Under
that scenario it would also be possible to have situations where
additional weight could be added without any perceived change in the
force required at the supporting end. Sailors do the same thing when
handheld lines are wrapped around winches.
This may also explain the Pedersen brakes have been generally praised
for tandem use where longer cables runs may create greater cable
friction as well (but not necessarily so where cables are not housed).
DR