I don't get how this is an interesting result. When you are allowed to change the applied stress (not just simple bending), getting it to break into just two pieces is easy.
By holding the spaghetti with two fingers at each end and applying compression together with bending, i.e. making the spaghetti look kinda like a sine wave from bottom to bottom, I can break spaghettis into just two pieces with success rate well above 50%. And I have confirmed with simple bending of shorter spaghettis that it's not just because of a shorter effective length.
Here's a picture of five spaghettis broken into just two pieces, along with one unbroken for comparison:
You make it sound like "changing the applied stress" is cheating, like they're equivocating on the problem. But the problem is just breaking spaghetti with your hand, by any means necessary for providing good entertainment. And challenging the unstated assumptions of a problem is often the most interesting way to solve it.
Anyway, sounds like it was interesting enough to make you do a bunch of experiments.
It's not that they're "cheating". It's just that many problems (like this one) are only difficult under some constraint. Lift that constraint, and it's easy (and therefore uninteresting).
I'm absolutely certain that Feynmann himself discovered the same thing as I did many decades ago, and that he discarded this "solution" because it was outside of the constraints that made the problem interesting.
>I don't get how this is an interesting result. When you are allowed to change the applied stress (not just simple bending), getting it to break into just two pieces is easy.
What's interesting is the exact way to achieve that. Unless someone knew that already...
I find it more interesting that the casual behavior is to break into multiple pieces. Twisting is a neat way to add more input into a very simple system.
Ah, cool! I also wonder if the twisting stress means that the noddle breaks before it is bent quite as far, which would also reduce the snap-back effect.
I also wonder if the twist-back breaks up the snap-back waves by redirecting their momentum.
I guess I've never tried doing it one noodle at a time or something, cause breaking a bunch of them at once results in them broken in two. Maybe they prevent each other from snapping back enough to break again?
Likely the way you are breaking them is different from what is described here. To do what is described in the article hold the spaghetti noodle by pressing either end to the index fingers of your hands and press inward to create a bowing effect, then continue to exert force until it snaps.
Probably what you're doing is just grabbing a handful closer to the center and folding the noodles.
I've never bothered to break them - why would you want tiny bits of spaghetti? Also wouldn't noodles be something completely different - like when I think "noodles" I think of an Asian dish, not a plate of spaghetti.
I find breaking in two as a bunch convenient since it makes it slightly easier to manage lengths. I do smaller for my daughter (2yo) since she struggles with scooping up the long ones on her own but is fine with smaller bits.
Take the bundle of spaghetti of spaghetti in one hand, place it vertically in the pot with boiling water, push down on the bundle from the top with your other hand. As the bottom part heats up and moistens the spaghetti will become immediately pliable and start going down and spreading out (in an appealingly geometric fashion), within a matter of seconds. You could cook 10" spaghetti, whole, in a 5" diameter pot with no problems.
And the reason I figured this would be weird is that long pasta is easy to eat with a fork. Probably not worth dwelling on this though as it's offtopic so people are downvoting :D
Hm, it's interesting that this was unsolved for so long, given that any pasta chef can teach you how to break spaghetti, fettucini, etc. in two by twisting while bending. Very odd.
"Feynman’s kitchen experiment remained unresolved until 2005, when physicists from France pieced together a theory to describe the forces at work when spaghetti — and any long, thin rod — is bent. They found that when a stick is bent evenly from both ends, it will break near the center, where it is most curved. This initial break triggers a “snap-back” effect and a bending wave, or vibration, that further fractures the stick. Their theory, which won the 2006 Ig Nobel Prize, seemed to solve Feynman’s puzzle. But a question remained: Could spaghetti ever be coerced to break in two?"
That explains why the stresses present always split the tube in more than two pieces, but it does not prove that there is no possible way to get it to split in only two.
This paper demonstrates a way for it to only split in two.
And therefore is a significant advance over the original.
"Feynman’s kitchen experiment remained unresolved until 2005, when physicists from France pieced together a theory to describe the forces at work when spaghetti...But a question remained: Could spaghetti ever be coerced to break in two?"
https://www.youtube.com/watch?v=ADD7QlQoFFI
Anyway, very cool.