Big try at gravity wheel

[Grimer]

Below shows the difference in jerk energy between a normal pendulum swinging through an angle of two radians and a cycloid pendulum.


The difference is represented by the shaded area.


This is the reason that a normal the swing of a clock pendulum must be restricted to a very small angle so that it approximates to the brachisochrone. For the brachisocrone the period of swing is independent of the amplitude.

[Grimer]

The generation of the 3rd derivative energy for curves that depart from
the cycloid can best be illustrated with a coin rolling demonstration.


If you roll a seven sided 50p coin (the large pre-1997 are best) along a
smooth horizontal plane the coin will initially jerk up and down with a
rattling noise. This is because though the diameter of the coin is constant
its centre of mass is not generally at the half diameter point. When the
coin is rolling fast enough the vertical oscillation of the mass centre is
sufficient to lift the coil free of the horizontal surface. The impact
when if falls back causes the rattling.


As the speed decreases there come a point where the rattling suddenly
ceases and the coin rolls smoothly.


This is the point where the vertical oscillation of the mass centre is
insufficient to lift the coin. It only varies the force applied by the
coin to the horizontal plane.

[Grimer]

One can demonstrate the harnessing of gravity with a flexible pendulum which is allowed to swing freely from about 8 to 6 and wrap around a cycloid barrier from 6 to about 4.


It will be seen that the finishing point of the bob is higher than the starting point. The pendulum has gained gravitational energy.


Of course, to demonstrate this experimentally would require the facilities of a decent laboratory. I doubt that one could do it in  one's garage.


One would require a very flexible thin wire between the support and bob (carbon fibre?) and a vacuum enclosure to eliminate air resistance.


Obviously it would not be a practical device but it would demonstrate the principle and show that the gravity field is not conservative.

[MarkE]

One can demonstrate the harnessing of gravity with a flexible pendulum which is allowed to swing freely from about 8 to 6 and wrap around a cycloid barrier from 6 to about 4.


It will be seen that the finishing point of the bob is higher than the starting point. The pendulum has gained gravitational energy.


Of course, to demonstrate this experimentally would require the facilities of a decent laboratory. I doubt that one could do it in  one's garage.


One would require a very flexible thin wire between the support and bob (carbon fibre?) and a vacuum enclosure to eliminate air resistance.


Obviously it would not be a practical device but it would demonstrate the principle and show that the gravity field is not conservative.

Grimer, if gravity is not conservative, then how do you account for very sensitive and well repeated torsion balance tests where large suspended masses have been shown to attract with forces indistinguishable from G*m1*m2/r^2?

[Red_Sunset]

One can demonstrate the harnessing of gravity with a flexible pendulum which is allowed to swing freely from about 8 to 6 and wrap around a cycloid barrier from 6 to about 4.

It will be seen that the finishing point of the bob is higher than the starting point. The pendulum has gained gravitational energy.
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Hi Grimer,

Excellent presentation, although I never heard of these pendulum properties before, I learn something new, pretty fast by your logical presentation.
You underscore the exact principle path towards over-unity. The same base logic is employed (or at better phrased at this point "intended") by Renato in its RAR, and Wayne Travis in his ZED, where the energy requirement for the upswing is less than the energy gained in the down swing (or visa versa) in order to obtain a positive output balance.
The engineering challenge is in the transformation/morphing at BDC to switch cycle type and the requirement to execute this transition with minimal energy (less than possible gain), the core inventive property is there.
Well done.

Red_Sunset