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Round chain on the corner

ValeryOchkov
24-Ruby IV

Round chain on the corner

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

6 REPLIES 6

You can determinate this angle so too

Round--Chain-Angle-Real.png

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

Round--Chain-Angle-PE.png

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? 

This angle is equal 2*50.34 deg. I hope in is equal n/m Pi. n and m -?

Fig-7-N-root.png

The English article about this problem in attach

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

 

The article (in English) about this problem

PLAYING WITH A CHAIN OR PHYSICAL AND MATHEMATICAL INFORMATICS

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