Sum of torque

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Last is bad, the disk turn in the opposite direction so I can do this :

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With a thickness for the disks I can have a difference of local velocity to have the forces F1 and F2. No torque on arms. Like each disk don't turn around itself (without friction), F1 and F2 will change the angular velocity of each disk so the kinetic energy increases.

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Like that the cylinder receive a positive torque like the arm from F1. The torque from F2 is cancelled by F3y. F3x don't give a torque. I want to keep constant the length of each spring, for that I need to accelerate the arms like the cylinder accelerate. Even the torque from F1 and F2 are not enough I will accelerate the arms like the cylinder. I recover the energy later.

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I added some informations on the image (I didn't draw all springs, but there is one for one ball and some for the sphere), the balls in reality must be smaller than I drawn, it's a theoretical study where I suppose I can obtain the pressure of a fluid under gravity inside the container. The sphere is a full object, there isn't balls between the sphere and the container but I attract the sphere with the springs.

1/ The sphere receives a clockwise torque from the springs
2/ The part of the sphere in contact with balls don't receive a torque because the shape is an addition of part of circles
3/ The red arm receives a force F2 because the springs attract the spehre but balls give a force F3 (composed of F3x, F3y and F3z), and F3y=-F2 (in vectors) so there is no torque from the sum F2 and F3y
4/ F3z and F3x can't give a torque on the red arm
5/ There is a surface with balls at left greater than at right in the container because at right there is the sphere . Like the pressure is higher at "bottom" the force by unit of surface is greater at "bottom" so there is a clockwise torque on the black arm, I resumed this torque by the force F1
6/ At "bottom" there is no force because springs attract all balls and the volume of the sphere

There is a last problem, the sphere will receive a torque on it and like it must turn at the angular velocity w too it seems the sphere lost the energy I won with the black arm. Now, imagine all the mass of the sphere is in the center (like particule in physics, you know, some people say: it's a point particle with mass), so if the mass is in the center I don't lost any energy from the sphere because the energy of rotation is 1/2Iw² and I is at 0 with a point particle. I need the sphere with a radius but I want the mass in the center. In our reality, the mass can't be at a point but can be near the center, so the energy lost by the sphere can be small.


The black arm will receive a torque. The red arm don't receive any torque. Two arms turn at w. There is a last problem, the sphere will receive a torque on it and like it must turn at the angular velocity w too it seems the sphere lost the energy I won with the black arm. Now, imagine all the mass of the sphere is in the center (like particule in physics, you know, some people say: it's a point particle with mass maybe it's not really a point), so if the mass is in the center (or near the center) I don't lost any energy from the sphere because the energy of rotation is 1/2Iw² and I is at 0 with a point particle. I need the sphere with a radius but I want the mass in the center. In our reality, the mass can't be at a point but can be near the center, so the energy lost by the sphere can be small.

Maybe like this the inertia is not very high for you. So, in this case, with the mass in the wall of the sphere (or in the center) when I apply a torque on it, I apply a torque on a gyroscope if 'w' is high so the sphere turns in the perpendicular axis like a gyroscope can do and don't lost its energy.

If you don't want a high 'w' you place the mass in the center of the sphere and turn it very quickly around this axis you want like that when the springs want to turn the sphere it turns a gyroscope. Sure I use springs for show the device but imagine an electrostatic force for example.

And to be ok with my theory with gravitation, I need 'w' very high, it's great because the precession of the gyroscope is a function of 'w', higher is 'w' lower is the precession.

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The sphere will works like a gyroscope. Put the mass in the center and turn it around itself at a very high angular velocity w'. The black arm receives a torque and can increase the energy of the device. The sphere receive a torque on it too, this could cancel the energy won by the arm but if the sphere is like a gyroscope, the gyroscope precession.

The precession of the gyroscope is very low (low inertia but a very high angular velocity) and in one turn the mass return to its initial position because the recipient keeps it position.