Big try at gravity wheel

[Red_Sunset]

..............................................................
Of course if the logic is sound then we don't need an experiment, do we.
We don't need experiments to show that the square on the hypotenuse is equal to the sum of the squares on other two sides, do we.
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If experiment fails to confirm the many cheerful facts .................................................
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Mon cher ami, en face de la mer en angleterre,

Do not fear, there is no avoiding the inevitable meeting encounter with your maker.
Rice pudding with silver spoons await you when you pass his test. 
For sure, ... high risk, high return.  Although do not be intimidated, your imagination can be your greatest friend but unfortunately also your worst enemy.
If you want to cross the water, you need first to take the plunge.

MarkE does deserve a simple answer for his simple question.

Greetings, Red_Sunset

[Grimer]

...
MarkE does deserve a simple answer for his simple question.
...

I thought I'd given it.


OK - I'll spell it out.


I can see no objection to his experimental proposal and I wish him the best of British luck.


But just as people on blogs point out that they are not giving financial advice to avoid
getting sued if things go Pete Tong so I should warn everybody that I have near zero
experimental experience and my view on such matters is virtually worthless.


During Elec Lab at Uni the meter on some part of the motor was winding its pointer around the stop.
So I disconnected it intending to connect it the right way round.
The motor (it was a big one) started to accelerate.


The face of the lecturer in charge of the proceeding went white and he
leapt for the controlling handle. When all the panic was over he eplained that my disconnection
had led to the motor accelerating to destruction.


After that the only thing I was allowed to handle was the small thingee one holds on the end of
the shaft to determine rpm.

[MarkE]

Grimer, I have not proposed an experiment yet.  I am waiting for you to confirm that I have stated your hypothesis correctly, or for you to make any needed changes to the stated hypothesis so that it accurately reflects your ideas:

1) The cycloid pendulum potential energy at its apogee contains only gravitational potential energy with all gravitational force operating normal to the horizon.
2) A circular path pendulum with a vertical length arm of y1 and bob mass m1 has at its apogee additional "third derivative energy" over and above the potential energy as an otherwise identical cycloid pendulum has.
3) A hybrid pendulum with vertical length arm of y1 and bob mass m1 that follows a circular path on one side of its travel and a cycloid path on the other half of its travel will convert the additional "third derivative energy" of the circular path half to additional gravitational potential energy observable as a higher apogee on the cycloid side than the circular side.

[minnie]

Hi,
   we're obviously expecting our bob to end up higher than it was at the start point.
My question is: where will the bob be relevant to the pivot point, will the radius be
shorter than that of the original pendulum?
                                 John.

[MarkE]

Hi,
   we're obviously expecting our bob to end up higher than it was at the start point.
My question is: where will the bob be relevant to the pivot point, will the radius be
shorter than that of the original pendulum?
                                 John.

Minnie for a given arm length, the cycloid pendulum extends less to the left or right at its apogee than a circular pendulum with the same arm length.  The arm has to flex around the cycloid barrier so the arm does not follow a straight radial line from the pivot to the bob at either the left or right apogee.  That means that if you draw a radial line from the pivot through the center of the bob at either apogee that radial line is shorter for the cycloid than it is for the circular pendulum.