by Aemilius » 22 Jul 2012, 21:54
Hey Lily, hope you're well....
I have devised (over the last fifteen years) and finally constructed a well balanced mechanism that immediately begins to rotate (in either direction) with an imbalancing displacement of as little as one degree (even with no bearings). With similar repeated periodic displacements of as little as three to five degrees its rate of rotation rapidly approaches 70 to 80 rotations per minute over the course of just four or five repetitions, all while overcoming only frictional mechanical resistance.
I can't post pictures here for some reason, but for now, there are pictures (and a more in depth theoretical description) of it in that forum thread link I posted (starting around the middle of page three after some nonsense).....
Here's a bit more about it....
It's a form of pendulum, actually a spring compesated broken pendulum that has been augmented with a planetary chain and sprocket arrangement, and there are major differences that immediately become apparent when comparing this to any conventional pendulum. This pendulum....
1. ....has been robbed of any natural periodicity normally associated with pendulous motion. In other words, it's rate of motion depends exclusively on the rate/frequency at which it is being periodically imbalanced (it's not forced in any way, that's just how it responds).
2. ....unlike a simple pendulum which has two possible positions of equilibrium, stable when hanging and un-stable when inverted, this pendulum actually has four possible positions of equilibrium, it's un-stable when hanging or inverted, and stable when the pendulum is perpendicular to the force of gravity, positioned to one side or the other, which is critical to the effect.
3. ....even though its motion is pendulous by definition, it does not swing back and forth in two directions like a simple pendulum with the well known accompanying periodic rise and fall of potential and kinetic energy levels (respectively) as it begins, continues and ends each motional cycle. This pendulum swings, or "falls" to one side, gaining kinetic energy as its potential energy diminishes, and then, by slightly changing the condition of the mechanism at the appropriate time (commutation is the best word I can think of for it), it continues moving in the same direction without losing the kinetic energy it has gained, swinging, or "falling" to the other side and continuing to gain kinetic energy. I believe that's why it begins to rotate so quickly and forcefully....
Emile