Fletcher wrote:Frank .. my observation is that from the video we see that the stringless pendulums follow a circle arc - from that arc can be extrapolated the pendulum shaft length - so far so good.
The speed that the ball reaches at the bottom of the dip is entirely based on the height of release - so if it falls 5 inches vertically from top of arc to bottom of arc then if we know the ball mass we can calculate the PE lost - all else being equal i.e. no frictional losses considered, then the ball will have KE equal to PE lost at bottom of arc - so far so good.
For any of the three variations of arc 'shallowness' the speed the respective ball reaches at bottom of arc is entirely dictated by the vertical height lost from release point - if all three fall 5 inches then all three balls will have lost the same PE & gained the same KE - so far so good.
What is different is that the steepness (shallowness) of the arc dictates the amount of time it takes to complete a period, & this translates directly to the pendulum with shaft comparison.
So, I'm not seeing where pausing the simple pendulum in GPM3 is giving an advantage - that's because in sim world (that I did before) the simple pendulum impacts the compound pendulum shaft & momentum is exchanged - not pausing the simple pendulum simply means that it impacts again the compound shaft but the shaft is returning to its original position - so we get a rebound effect on both components but no energy gain.
Even if you have a one-way clutch device to stop the compound pendulum reverse swing there will still be no greater momentum & energy transfer IMO - IOW's no energy gain because the same PE has been lost - at least that's the standard physics model or more correctly my understanding of it.
Thanks for the "so far so good" comments, Fletcher . I'm pleased I at least managed to get those bits across. :-)
Thanks also to Kaine for the very detailed sim gpm.wm2d. which I have found invaluable. Fortunately GPM.WM2D gives us multiple impacts so we have a good visual representation to think about.
Right. Let's get down to the details of the section in red.
First, we need to stop the compound pendulum (CP) falling back after the first impact. We have to give it the same condition as it started with, i.e. an quasi-earth reaction provided by a one way clutch at the axle. To allow it to fall back is to allow an analogous situation to the first diagram shown here:
http://www.besslerwheel.com/forum/viewt ... 271#129271
I could have used a one way clutch from the start. I didn't because it's easier for people to understand what's going on if there's a visible representation. This is where sims are so useful. You can see what's happening and can analyse stuff in great detail.
We also need a second one way clutch operating in the other direction, a clutch for the arm which takes the impact and allows the arm to fall back to 6 o'clock. This has two beneficial effects for the second fall of the simple pendulum (SP).
1. It saves the SP from going past the 6 o'clock position and wasting gravitational potential energy by starting to climb
2. By shortening the path of the SP it speeds up the transfer of energy.
(I'm now going to make a diversion because in working through this problem I've realised something of great theoretical significance. I apologise to anyone who won't understand what the hell I'm on about. ;-)
In freeing the impact arm we have created a 3rd pendulum, an intermediate pendulum (IP) between the SP and the CP. We no longer have a 2 pendulum system. We have a 3 pendulum system. This IP pendulum has the same function in this system as the Pressure variable has in the Carnot. There, Pressure carries the rotation energy represented by the Temperature variable up to the the rotation energy represented by the Volume variable, i.e. the rotation of the flywheel. My confidence this is going to work has gone up several notches.
I can now see why my Vesica Pisces Gravity Motor worked - confirmed by the maths analysis of someone on Not the Steorn Forum. He said I was correct in suggesting there was an energy gain albeit very small. However, a gain is a gain. It may not be of commercial significance but it demolishes a principle. You can't be a little bit pregnant).
As regards rebound, when after a second meeting of the CP and the SP, a meeting where the speeding CP meets a stationary SP there is no question of any bounce since the CP has a one way clutch. The CP simply absorbs the SP to form a balanced beam which rotates indefinitely until its energy has been drawn off.