Center of gravity and center of ???
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Center of gravity and center of ???
I try to calculate the center of gravity one not simple plane figure.
What is it the red point?
See more please
Solved! Go to Solution.
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Mark Gase написал(а):
Center of Gravity... 4D-body
Where is the plot? I want an animated XYZ plot with W as time.
I will do it.
But at first we must solve problems of the 3D body with its centers.
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Mark Gase написал(а):
Center of Gravity... 4D-body
Where is the plot? I want an animated XYZ plot with W as time.
Mark! Give me please the f(x, y, z, w) function and see
PS
Mark!
Have you read my letter to You?
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Mark and all!
Is this correct center of gravity 3D body?
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Yes, those are the coordinates of your CG. But why are you working so hard? The simple mean gives you more accurate answers:
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Fred Kohlhepp написал(а):
Yes, those are the coordinates of your CG. But why are you working so hard? The simple mean gives you more accurate answers:
Why so hard? We can calculate CG of plate with not constant density - one part is wood, the second - iron!
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If you have two materials with different densities you do a weighted average:
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Maybe all (or none) of them.
I suppose calculating the population would give the demographic midpoint, so that is ruled out here. Just geographical data.
Do you include mass of mountains (+ ) and valleys (- )?
What about water mass of lakes and rivers?
OK, maybe it's just about the 'surface':
Do you include sloped surface of mountains and valleys?
What about sea level (some parts of land are flooded daily)?
Luc
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I have seen two of them - in Ukraine and Lithuania.
It will be good to see on those marks the calculations (in Mathcad)!
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Fred Kohlhepp написал(а):
If you have two materials with different densities you do a weighted average:
We must have same density of points! But points can have different weight!
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Need to think.
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The extension to two materials is straightforward - see 2D example below. The further extension to 3D is also straightforward (as long as you remember to replace R^2 by R^3, and take cube roots instead of square roots, etc.);
Alan
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AlanStevens написал(а):
The extension to two materials is straightforward - see 2D example below. The further extension to 3D is also straightforward (as long as you remember to replace R^2 by R^3, and take cube roots instead of square roots, etc.);
Alan
Yes! It is a piece of watermelon with one grain in the center of gravity
This picture will be on my collection of art objects with Math sense.
See please http://twt.mpei.ac.ru/ochkov/TTMI/21/21.01all.png
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Our method of searching the center of gravity (mass) has a name Pointillism - Wikipedia

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