That's a nice paper: readable, informative, well researched. I'm convinced. WFL On 6/19/14, Neil Sloane <njasloane@gmail.com> wrote:
The paper is on the arXiv: http://arxiv.org/pdf/1310.4056.pdf
On Thu, Jun 19, 2014 at 9:47 AM, Charles Greathouse < charles.greathouse@case.edu> wrote:
I'd be surprised if the height of the drop was significant, provided it's at least a few times the height of the fountain. (Less than that and it might damp the action somewhat by the same rebound mechanism.)
Charles Greathouse Analyst/Programmer Case Western Reserve University
On Thu, Jun 19, 2014 at 9:17 AM, Fred Lunnon <fred.lunnon@gmail.com> wrote:
The explanation suggested in the video struck me as unconvincing. Leverage might well explain the S-curve at the top of the fountain, yes. However the rising segment could apparently result from the upward acceleration applied to a link by the (virtual) pulley over the edge of the vessel.
Now an intriguing stability question arises --- what determines the height of this pulley? Well, it might be the elasticity of the links, or it might be the height of the drop. I'd want to compare of different elastic coefficients and drop heights.
Fred Lunnon
On 6/19/14, Whitfield Diffie <whitfield.diffie@gmail.com> wrote:
Even with the explanation, I still find this amazing.
This is indeed wonderful. I wonder if it accounts for cases of chains hopping off of pulleys. It seems that if the explanation is correct, the phenomenon shold depend on the compressibility of the chain; suppose it had long thing links? Or rubber links?
Whit
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Neil J. A. Sloane, President, OEIS Foundation 11 South Adelaide Avenue, Highland Park, NJ 08904, USA. Also Visiting Scientist, Math. Dept., Rutgers University, Piscataway, NJ. Phone: 732 828 6098; home page: http://NeilSloane.com Email: njasloane@gmail.com _______________________________________________ math-fun mailing list math-fun@mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun