re: energy producing experiments

[Tarsier_79]

" The experiment shows that the disk is harder to rotate than 1/2mr² predicts. "

https://en.wikipedia.org/wiki/Moment_of_inertia
Half way down, a computer simulation clearly showing the disk is not 2x the distance of the ring, a similar result to the youtube vid.

I am no math guru, but there is usually more to the picture than a simple formula.
You have the formula for inertia of both bodies. You then need to take into account angular momentum, rolling vs accelerating around an axle and gravity at an angle.

I found this:

[Johnsmith]

 Math typically works that way.

[Delburt Phend]

Some request models;

Gooble  "A scientific model is a physical and/or mathematical and/or conceptual representation of a system of ideas, events or processes. Scientists seek to identify and understand patterns in our world by drawing on their scientific knowledge to offer explanations that enable the patterns to be predicted."

You say that I have not presented a model, and then you show how the
Law of Conservation of Momentum would work. Apparently, I have presented a model and you are fully aware of it.

35 kg dropped one meter can accelerate 140 kg to 2.21 m/sec. Model: Atwood's Machine

A 35 meter high stack of evenly spaced 1 kilogram masses exert the same force as a 35 kilogram mass. Model: scale balance

After a drop of one meter the stack can be reconfigured by accelerating one kg to 26.24 m/sec, costing 26.24 units of momentum. The one kilogram moving 26.24 m/sec will rise 35 m. Model: kinematic equations.

140 kg moving 2.21 m/sec equals 310 units of momentum and you only need 26.24 units to recycle the system. Model: kinematic equations.

If the 310 units of momentum is placed in one kg the rise would be 4900 m.  Only 35 of those meters is needed to reconfigure the stack. Model: kinematic equations.

The momentum of a large mass can be given to a small mass. Model: cylinder and spheres machine where all the motion is returned to the cylinder; and the Law of Conservation of Momentum.

The stack of 35 1 kg masses could accelerate a 140 kg rim and stack to 2.21 m/sec and then the rim could throw one kg 140 times higher than the original drop. Model: cylinder and spheres machine; the Law of Conservation of Momentum: kinematic equations.

The double yo-yo despin 'cylinder and sphere' transfers all the motion of the "cylinder and sphere" to only the spheres. Then the spheres transfer the motion back to the cylinder and spheres combination.

The conservation of energy could not return the motion of the spheres back to the cylinder. Because as the conservation of momentum would require a 10 m/sec speed for the spheres the conservation of energy would only require a 3.16 m/sec velocity.

When masses collide, or transfer motion, smaller masses do not and can not give their energy to a larger mass. The smaller masses can and do however give all of their momentum to the larger mass.

So the double yo-yo de-spin demonstrates the transfer of momentum to the spheres and then back again to sharing the motion with a mass that is about nine times more massive.

This means that the double yo-yo de-spin: https://www.youtube.com/watch?v=YaUmzekdxTQ  has a ten fold increase in energy twice.

[Tarsier_79]

Your oversimplified math does not prove anything. Prove it with a build and a measurable gain in Potential energy. Measurable input---measurable output. It should be simple for you, you have many models.

ADD: This is a much better experiment. You can measure the speed of the cylinder and calculate the speed of the ball bearings from where they land.
https://www.youtube.com/watch?v=sWS2Sl5iG0g

[Delburt Phend]

You apparently are not familiar with the physics. You have no information about the mass of the spinning (space station shaped) shaft or its distribution of mass.  Without that knowledge you cannot predict motion conservation of any type.

The cylinder gives you a known mass at a known radius, for a known momentum. The disk is better than the space station, but not as easy as a cylinder.