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In an electronic car, as you say, or any other device that uses electrical energy to produce some mechanical work, [the term "uses" means transforms one kind of energy-one kind of microscopical interactions(here electromagnetic)- to another], what happens? You have an electrical energy source that, through a mechanism, gives you mechanical work, so the car ...

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Your question is similar to the common question of putting a wind turbine on an electric car to generate electricity while driving and provide power, and is based on the same conceptual misunderstanding. To understand why it is not possible you should read about why perpetual motion machines are not practically possible. Specifically relating to your ...

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Your mistake is here: Assume the gravitational force acts with a distance of $πr$ due to how the rod supporting the mass is rigid thus restricting them from interacting directly with the separation $2r$ There's nothing magical about a rigid rod that re-directs the force of gravity. The gravitational force between your two masses will be radial, not ...

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I think if the radius is long enough then the velocity achieved may be high enough to overcome the surface forces. The concept would require the pivot to the left with spring return or similar. Technically it would not violate conservation of energy unless work was harnessed from the perpetual motion.

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