Wheel + Pendulum = Steiner...

[iacob alex]

  ...or a disk and a bob on the periphery of it,can develop in gravity and inertia,the  well known  Parallel Axis theorem.

     In this manner,if we have a solid,uniform disk of mass "M",with the CoG in the pivot axis,free to rotate(only!),and as a SEPARATE PART, a bob mass  "m"(m<<M),on the rim of the disk,we are ready to apply Steiner's theorem ,due to gravity fall of "m",this time.

     The starting point is with the bob in up position on the disk,the end point is with the bob in the down position.

      Between  these two positions of the bob(up to down fall=half circle trajectory),we have a variable torque(arm and tangential component),due to the gravity : bob "m" acts as a pendulum,but...dragging,turning the mass "M",inducing rotational inertia.

      By the way,if the pendulum of a mechanical clock,can be considered as an extreme of the physical pendulum concept,then a (disk+bob) configuration,seems to be another one.

     This time,we are interested not in a swinging (simple harmonic) motion of the bob,but for the up-down  fall motion,on the same side of the pivot ,only.

      So,for the moment,,we have stored rotational energy in "M" ,due to "m" :bob plays as an "actor"/driver ,disk plays as an "reactor"/follower.

      In a mechanical clock,the bob is acting as a tiny quantifier of energy,for  small harmonic oscillations(<10 degree),

      This time,the bob is playing a "full energetic game" (180 degree) and with a single,distinctive partner:the disk.

      To apply the Newton's Law (action=reaction),for this bob-disk configuration,has a certain significance: to store energy from a temporized gravitational fall and ...as a light in a mirror,to use it in some way...

       Fine primo tempo!

       Secundo tempo: if possible,a self process can be the next step .

                      All the Bests!  /  Alex

     

[jadaro2600]

It's picture on napkin time!

[iacob alex]

    A mass  "m" mounted on the edge of a disk "M" (M>>m),is a physical pendulum,no longer a simple pendulum.

    This elementary configuration,if possible tested,can manifest a nonlinear response.

     Most physical systems are nonlinear in nature.

     You  know the properties of a mechanical clock pendulum,so to play in the domain of linearity.

     Now,let's consider a particular circumstance of this pendulum.

     When the angular displacement of the pendulum,is large enough,then the small angle approximation no longer holds and the equation of the motion must remain in its nonlinear form.

     In mathematics,a nonlinear system does not satisfy the superposition principle,or whose output is not proportional to his input...so a possible manner to test "overunity"(output>input) !?

     A non-linear system are often studied through use of simulations,it cannot be mathematically described as the sum of their components.

    But ,you know that the best "simulation" is the direct play with the real world...so the test,the experience,the "backbone" of a serious research.

    A sensitive dependance on the initial conditions for a nonlinear system ,says that some tiny differences in input,after some time can become overhelming differences in output.

    A  heavy,full,temporized pendular fall can be a "key" to "open the gates" of an "overunity" dynamics ?!

   Who knows?Maybe yes,maybe not.

                    All the Bests!  /  Alex

[mindsweeper]

Like this ?

A falling sweeper

[Koen1]

Well I don't follow what you're trying to say exactly,
but it sounds a bit like you're saying that we can extract
energy from gravity by using a pendulum mounted on a wheel?

Perhaps you should visit Lee-Tseung's thread on "Lead-Out gravity energy"?
He's been repeating himself for years now saying something like this,
and he can't make it stick but never gives up. Perhaps, if this idea is
indeed similar, you could formulate it in a more understandable manner?

Or indeed, at least draw a picture of what you are trying to say?

regards,
Koen