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24-Ruby IV
ValeryOchkov24-Ruby IV
24-Ruby IV
June 10, 2018
Question

Round chain on the corner

  • June 10, 2018
  • 3 replies
  • 3970 views

Some people like to twirl a round chain on a finger.

film-2.png

I like to "twirl" a round chain on... a cone

https://community.ptc.com/t5/PTC-Mathcad-Questions/Catenary-and-cone-one-fresh-problem-for-Mathcad-community/m-p/550292

 

on two nails

https://community.ptc.com/t5/PTC-Mathcad-Questions/A-chain-is-thrown-over-two-nails/m-p/552909

and on one... corner.
Can you determine (numerical or symbolical - better with Mathcad and without friction) the critical value of the alpha angle when the chain falls off the corner?

Round--Chain-Angle.png

3 replies

V
24-Ruby IV
ValeryOchkov24-Ruby IVAuthor
24-Ruby IV
June 10, 2018

You can determinate this angle so too

Round--Chain-Angle-Real.png

V
24-Ruby IV
ValeryOchkov24-Ruby IVAuthor
24-Ruby IV
June 10, 2018

One try of solution in attach! But I am not sure - is it correct!

Round--Chain-Angle-PE.png

V
24-Ruby IV
ValeryOchkov24-Ruby IVAuthor
24-Ruby IV
June 11, 2018

I feel it is a solution - a numerical solution. Check please Mathcad 15 sheet in attach.

anim2.gifI am waiting for one symbolical solution. What is it 108-109 deg? 

V
24-Ruby IV
ValeryOchkov24-Ruby IVAuthor
24-Ruby IV
August 4, 2018

The English article about this problem in attach

Can you find the symbolic solution of the problem in attached Mathcad 15 sheet?

 

V
24-Ruby IV
ValeryOchkov24-Ruby IVAuthor
24-Ruby IV
November 6, 2018

The article (in English) about this problem

PLAYING WITH A CHAIN OR PHYSICAL AND MATHEMATICAL INFORMATICS

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