SFish said:
patrick_g:
You said "Again, depending on the definitions of terms and ignoring the current state of the art in building conveyors and airgraft wheels/tires/axles, you picks your definitions and you gets your answer. Either contention can be supported, depending on your assumptions." I am very curious what the assumptions you see that would prevent takeoff.
The original post conditions are a plane on top of a conveyer like device that rolls its surface backward at exactly the speed the plane is moving forward. This is not a complicated device, certainly not magic.
By the way, my favorite teaching bowline is collapsing a slip not (simple noose) made back from the working end after putting the working end through the loop of the noose.
Steve
Steve, Attending to the high priority issue first and then getting to the magic conveyor belt:
That method of tying a bowline is a very good teaching technique as well as having practical importance. In the case of the former it lets you build on the simple familiar (overhand knot) and turn it into the desired new knot (bowline) and in the latter case addressing practicality it allows you to pre-tie part of the knot so yo can capture something and finish the knot before conditions interfere. For example you want to secure a flailing boom or tie to a bollard and conditions are just too wild to allow you to fully construct the bowline in place.
Now for the magic conveyor... IF you strictly define the conveyor's role to be ONLY to match the plane's forward speed but in opposite direction the plane (no magic involved), if it has just a little excess thrust above and beyond that required to take off with no conveyor it will indeed take off after just a little more take off roll. The wheels will be rotating at twice liftoff speed and we don't approach relativistic speeds moving us from Newtonian toward Einsteinian physics.
Much more fun was the version much discussed here where the conveyor's role was to speed up as required to prevent forward motion of the aircraft. This would work using either the rotational inertia of the wheels or friction of skis or whatever.
If you accelerate the conveyor sufficiently (non linear "jerk" where jerk is a defined physics term, the third derivative of distance with respect to time or the acceleration of acceleration if you will. If you do not limit the speed and the change of speed of the conveyor it can prevent the plane from taking off. If the conveyor is allowed to be "magic" and not self destruct then the plane's wheels will self destruct and long before relativistic speeds are achieved from plain old centrifugal force. If the plane's wheels are allowed to be magic and handle any RPM then the plane will run out of gas and not move forward.
Oh, bye the way, I think debate of this sort to be fun, and instructional and just plain good fun so long as we avoid the ad hominem approach. If we don't get too emotionally charged in favor of or opposing an idea, who knows someone might even learn something.
Unfortunately, much of what is posted seems to be in line with the story of the three blind men and the elephant, each touching a different part and disagreeing on what the elephant is like.
In the main we discussed a limited number of variants:
1. Conveyor moves to EQUAL the forward speed of the plane.
2. Conveyor moves to CANCEL the forward speed of the plane.
These are entirely different propositions!
In the first (1) the plane probably takes off with just a little extra roll and its wheels spin at twice its forward speed until after lift off.
In the second (2), The case of the "magic conveyor" the plane does not take off.
Pat