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New Theories / Sum of forces not as 0 or the sum of torques not at 0 ?
« on: 29/11/2020 07:37:38 »
In the geometry:
tad.png (190.95 kB . 1490x762 - viewed 9388 times)
It is not only the sum of forces that is not at 0 but also the sum of torques:
With the dimensions I gave, the surface of the blue area is : 18000 usi watch http://villemin.gerard.free.fr/GeomLAV/Cercle/aaaAIRE/Rectang2.htm
The sum of torques on the all spheres is 18000
The sum of torques from the segment is integrate(x*((2pi)-2*acos(75/113)*(sqrt(75²+x²)-75)/(113-75)) dx from 0 to L = 19676
The sum of torques is not 0
I don't take the sphere packing and I think it is not necessary. Maybe I need to correct the result of the sum of torque from each sphere because the forces are not exactly at the full diameter but I think if I decrease the diameter of the spheres near 0 (in theory) I can have the full diameter, the result is not cumulative.
For the sum of forces, I have 2 radial gradients of pressure, one because the outer circle don't start like the inner but I have a second gradient of pressure because the forces from the friction are not parallel, so I need to correct the sum of forces but I don't think the sum can reach 0 because the straight segment breaks the propagation of these radial gradient of pressure and the sum of forces on each sphere is 0 inside the media.
tad.png (190.95 kB . 1490x762 - viewed 9388 times)
It is not only the sum of forces that is not at 0 but also the sum of torques:
With the dimensions I gave, the surface of the blue area is : 18000 usi watch http://villemin.gerard.free.fr/GeomLAV/Cercle/aaaAIRE/Rectang2.htm
The sum of torques on the all spheres is 18000
The sum of torques from the segment is integrate(x*((2pi)-2*acos(75/113)*(sqrt(75²+x²)-75)/(113-75)) dx from 0 to L = 19676
The sum of torques is not 0
I don't take the sphere packing and I think it is not necessary. Maybe I need to correct the result of the sum of torque from each sphere because the forces are not exactly at the full diameter but I think if I decrease the diameter of the spheres near 0 (in theory) I can have the full diameter, the result is not cumulative.
For the sum of forces, I have 2 radial gradients of pressure, one because the outer circle don't start like the inner but I have a second gradient of pressure because the forces from the friction are not parallel, so I need to correct the sum of forces but I don't think the sum can reach 0 because the straight segment breaks the propagation of these radial gradient of pressure and the sum of forces on each sphere is 0 inside the media.