eccentrically1 "....do you think I missed something?"
Possibly....
eccentrically1 "The concept is the same; start with a balanced mass and expect different results that an initially unbalanced mass would give."
I'm afraid I don't see the similarity, aside maybe from a shared focus on the nature of balance. I think your observation may be based on a misconception.... can you perhaps illustrate your observation about the concepts being the same with some kind of schematic comparison?
eccentrically1 "You've actually built something so kudos to you."
Thanks!
eccentrically1 "I'm not sure if the force analysis you've done is complete."
You say you've looked at the blog....
http://thecolemechanism.blogspot.com/.... if you have then you already know to what extent the planned analysis has been carried out and that it's not complete.
eccentrically1 "Do you think the chain between the sprockets might have some influence on the stability throughout the cycle?"
With reference to the diagram (below) taken from "Stage One - Balance" of the ongoing analysis on the blog, the Planetary Sprocket with the Pendulum that's fixed to it, the Chain and half the weight of the Chassis make up the force D shown in the diagram.... it's influence on the mechanism as a whole is clearly described at all points around 360 degrees....
eccentrically1 "And when you turn it with your finger, the forces don't cancel anymore as when it is in a static position, obviously."
"Stage Three - Equilibrium" of the ongoing analysis on the blog shows how and why the Mechanism will begin to rotate in response to a slight imbalancing force applied when the Mechanisim is in either of the two possible positions of un-stable equilibrium as shown....
This diagram (below) shows the Mechanism in the first possible position of un-stable equilibrium. The Pendulum is inverted, the Planet Sprocket below.... degree of tilt P is zero degrees.
If the Sun Sprocket is rotated N degrees from P the Mechanism's parts will seek to move in the directions indicated by M (degree of tilt required is exagerated) as shown....
Tilt to the left....
....and the Mechanism will seek the first possible position of stable equilibrium F.
Tilt to the right....
....and the Mechanism will seek the second possible position of stable equilibrium F.
This diagram (below) shows the Mechanism in the second possible position of un-stable equilibrium. The Pendulum is hanging normally, the Planet Sprocket above.... degree of tilt P is zero degrees.
If the Sun Sprocket is rotated N degrees from P the Mechanism's parts will seek to move in the directions indicated by M (degree of tilt required is exagerated) as shown....
Tilt to the left....
....and the Mechanism will seek the first possible position of stable equilibrium F.
Tilt to the right....
....and the Mechanism will seek the second possible position of stable equilibrium F.
"Stage Two - Compensation" of the ongoing analysis on the blog shows how the Calibrated Spring acts to keep the Mechanism as a whole in relative equilibrium even as it's being periodically imbalanced during rotation.... in other words the Calibrated Spring acts continuously to compensate for the ever changing mass distribution such that the sum of all forces coming to bear on the Control Lever at any point in the course of one complete cycle is zero as shown....
This diagram (below) shows the downward force D on the Planet Sprocket. The force H on the Sun Sprocket is the result of the force D, and the force I on the Control Lever is the result of the force H. The Mechanism is not balanced or in equilibrium in this diagram because there is no equal and opposite force to counter the force I.
The Calibrated Spring is mounted on the back of the Mechanism (depicted to the right in the diagram below). The lower end X is fixed to the stand the mechanism is mounted on. The upper end Y is connected to the Control Lever. The diagram shows how the equal and opposite forces I and J effectively cancel each other out and equilibrious balance Q is the result, or.... I minus J equals Q. The Mechanism is in equilibrium, the sum of all forces acting on it is zero.
The following series of schematic diagrams show how the Mechanism remains in equilibrium regardless of position through one complete cycle, and how the Calibrated Spring provides the varying equal and opposite force J needed to match the varying force I that the Mechanism's changing mass/weight distribution exerts on the Control Lever at various points around 360 degrees, keeping the Mechanism balanced, maintaining equilibrium.
eccentrically1 "I can appreciate the feeling that you get from the leverage. It reminds me of a ride at the fair that develops force in a similar fashion."
Really? I've never seen or heard of any mechanism that will be found rotating at over 100 rotations per minute after just 5 or 6 well timed repetitions consisting of moving a control lever back and forth approximately 5 to 7 degrees (2.5 to 3.5 degrees each way from the vertical) where the sum of all the forces acting on the lever is zero.... Can you post a picture of the ride at the fair you're refering to (or any mechanism for that matter) that develops this kind of force in a similar fashion? I'd be very curious to see it!
Emile