Mass center n points

#1 Posted: 2024/5/11 11:17:48

Valery Ochkov

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Help me please - see attach
Gravity-Center-n-points.sm (331.61 KiB) downloaded 816 time(s).

#2 Posted: 2024/5/11 15:04:22

Valery Ochkov

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Solutions for same mass of points. OK?
Gravity-Center.sm (14 KiB) downloaded 880 time(s).
One test

#3 Posted: 2024/5/11 21:10:39

StvMath

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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.

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Valery Ochkov 2024/5/13 01:50:00

#4 Posted: 2024/5/12 08:17:01

Alvaro

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Hi. Using Martin's Momentums functions for polygons.

mass-center.sm (38.17 KiB) downloaded 985 time(s).

or (adenda)

mass-center more.sm (21.61 KiB) downloaded 889 time(s).

Best regards.
Alvaro.

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sergio 2024/5/12 23:55:00, Valery Ochkov 2024/5/13 01:50:00

#5 Posted: 2024/5/13 01:52:16

Valery Ochkov

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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 Posted: 2024/5/13 10:39:58

Alvaro

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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) downloaded 845 time(s).

mass-center-statics.pdf (307.24 KiB) downloaded 435 time(s).

Best regards.
Alvaro.

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Valery Ochkov 2024/5/13 14:32:00

#7 Posted: 2024/5/13 14:33:27

Valery Ochkov

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

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Alvaro 2024/5/15 01:33:00

#8 Posted: 2024/5/15 01:33:11

Alvaro

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Hi Valery. Next week I can start with that.

Best regards.
Alvaro.

#9 Posted: 2024/5/27 17:51:43

Valery Ochkov

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Wrote
Hi Valery. Next week I can start with that.

Best regards.
Alvaro.

Hi Alvaro
Espero su revicion

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