Mass center n points

Mass center n points - How solve it in SMath - Messaggi

#1 Pubblicato: 11/05/2024 11:17:48
Valery Ochkov

Valery Ochkov

67 apprezzamenti in 713 post.

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Help me please - see attach
Gravity-Center-n-points.sm (331,61 KiB) scaricato 1545 volta(e).
Gravity-Center-n-points.png
#2 Pubblicato: 11/05/2024 15:04:22
Valery Ochkov

Valery Ochkov

67 apprezzamenti in 713 post.

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Solutions for same mass of points. OK?
Gravity-Center.sm (14 KiB) scaricato 1606 volta(e).
One test
12-8-RND.png

12-9-CG.png
#3 Pubblicato: 11/05/2024 21:10:39
StvMath

StvMath

44 apprezzamenti e 1 disapprezzamenti in 76 post.

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For comparison, the true value for your semi-annulus is given by 4*Reff/(3pi),
where Reff = ( (R-r)^2 + 3R*r )/(R+r).

With R=1 and r = 0.9 this is 0.60534722.

1 utenti hanno apprezzato questo post
Valery Ochkov 13/05/2024 01:50:00
#4 Pubblicato: 12/05/2024 08:17:01
Alvaro

Alvaro

1.139 apprezzamenti in 1.805 post.

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Hi. Using Martin's Momentums functions for polygons.

mass-center.sm (38,17 KiB) scaricato 1787 volta(e).

mass-center.png

or (adenda)

add-1.png

add-2.png

mass-center more.sm (21,61 KiB) scaricato 1675 volta(e).

Best regards.
Alvaro.
2 utenti hanno apprezzato questo post
sergio 12/05/2024 23:55:00, Valery Ochkov 13/05/2024 01:50:00
#5 Pubblicato: 13/05/2024 01:52:16
Valery Ochkov

Valery Ochkov

67 apprezzamenti in 713 post.

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Thanks to all!
See please pictures in my old article
Physics and computer science: the center of gravity of a black box
http://twt.mpei.ac.ru/ochkov/Center-Gravity.pdf
#6 Pubblicato: 13/05/2024 10:39:58
Alvaro

Alvaro

1.139 apprezzamenti in 1.805 post.

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Wrote

Thanks to all!
See please pictures in my old article
Physics and computer science: the center of gravity of a black box
http://twt.mpei.ac.ru/ochkov/Center-Gravity.pdf



Oh, I see. The intention is to use statistical functions. This vectorized version can replicate more or less the results, but SMath is very slow for large vectors.

mass-center-statics.sm (52,11 KiB) scaricato 1581 volta(e).

mass-center-statics.pdf (307,24 KiB) scaricato 906 volta(e).

pic.png

Best regards.
Alvaro.
1 utenti hanno apprezzato questo post
Valery Ochkov 13/05/2024 14:32:00
#7 Pubblicato: 13/05/2024 14:33:27
Valery Ochkov

Valery Ochkov

67 apprezzamenti in 713 post.

Gruppo: User

Thank Alvaro.
But check please the Spain translation of my book.
I have sent you chapters!

1 utenti hanno apprezzato questo post
Alvaro 15/05/2024 01:33:00
#8 Pubblicato: 15/05/2024 01:33:11
Alvaro

Alvaro

1.139 apprezzamenti in 1.805 post.

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Hi Valery. Next week I can start with that.

Best regards.
Alvaro.
#9 Pubblicato: 27/05/2024 17:51:43
Valery Ochkov

Valery Ochkov

67 apprezzamenti in 713 post.

Gruppo: User

Wrote

Hi Valery. Next week I can start with that.

Best regards.
Alvaro.



Hi Alvaro
Espero su revicion
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