Sum of torque

[EOW]

The wheel lost an energy because the force on the white object is perpendicular of the trajectory, it is possible to controlled the velocity by an external device like that there is no forces on the balls from the white object. When the wheel rotates and moves the white object lost a potential energy.

[EOW]

In fact, like I drawn before the spring, the poitn don't work but the spring increases its length !!

The spring is attached between the wheel and the ground. Its length pass from 1.414 R to 1.57 R

Cost nothing for the wheel because the positive clockwise torque from the force is cancelled by the force on the center of the wheel.

The wheel rotates and moves before I attached the spring. There is an inertia, so the wheel continue to move and rotate.

[EOW]

I can use a water+gravity device. There is no force on the green point so I don't need any energy to rotate the black arm. There is a torque on the pink arm and like the angle between the black arm and the pink arm change I can recover an energy not with a motor because in this case the motor will give a torque on the black torque, but simply rotate a disk, the disk is on the green axis without friction, it can't give any torque on the black arm. I win the rotation of the disk, potential energy in the rotation of the disk.

[EOW]

Use a local gravity, replace water by small balls and gravity by springs attached on the yellow point. Turn all the device clockwise. The yellow point turn, it is in the device, the springs to have gravity don't lost any energy.

[EOW]

The law of attraction need to be linear in the contrary there is a torque on the container I think.

It's easier to think with a line of attraction like that it's possible to use the formulas of buoyancy/pressure in water with gravity.

I need to adjust the law of attraction in the same time the radius of the black arm change, like that I can have no torque on the container and have one to the pink arm. Change the law of attraction cost nothing in energy because the balls are always in the same position in the container so the springs don't lost any energy.

An example to calculate the law of attraction:
law in 1/d^0.2 with big length for the black arm