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Force multiplier

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electrodacus:

--- Quote from: Nominal Animal on February 11, 2023, 09:04:40 pm ---
--- Quote from: electrodacus on February 11, 2023, 04:11:33 pm ---I will not say that 2:1 is anywhere close to 1:1. I will understand if it was 1.1:1 but not 2:1
--- End quote ---
That is because you do not understand the kinematics here.  Review the math in my reply #92.  In your vehicle, the wheels are the same size, \$r = R\$.  Per your definition, gear ratio \$G = 1/\lambda\$.  Using \$x\$ for the vehicle speed right, and \$y\$ for the treadmill surface speed left, kinematics analysis shows that
$$x = y \frac{\lambda R}{r - \lambda R} = \frac{y}{G - 1} \quad \iff \quad \frac{x}{y} = \frac{1}{G - 1}$$


Instead of testing these, you rely on your hand-eye coordination and a single video clip as "proof".  That is not science, it is religion.

--- End quote ---

Before I look at your math please specify how are the two wheels connected in your setup ? Where is the belt connecting them?
Unless I can see that I have no idea what the relation between the two wheels is.

electrodacus:

--- Quote from: Nominal Animal on February 11, 2023, 10:14:56 pm --- No slip-stick and no jerking, unless you jerk the chain yourself, jerk.

--- End quote ---

You may have seen this video but watch closely at second 9  https://odysee.com/@dacustemp:8/120fps24:9
Sorry it is filmed upside down as I used a soldering microscope for the close up ability and high frame rate video recording.
Due to large gear ratio there is only one cycle in the short video with the discharge around second 9.


Explain what happens at second 9 as the motion was constant no jerkines
You can see the zoom out and correct orientation experiment but it will be harder to notice the charge discharge cycles compared to the zoom out video above https://odysee.com/@dacustemp:8/gear-slow30p2:9

Looking forward for your explanation of why tooth engagement suddenly changes at around second 9.

electrodacus:

--- Quote from: karpouzi9 on February 11, 2023, 10:39:56 pm ---That's called backlash. Please stop farming posts with this loony /sci/ stuff.

--- End quote ---

OK what is the reason for backlash ?  And why it happens at regular intervals proportional with the gear ratio ?
If a gearbox in a normal application will have worked like this at all times it will not have a long life.

In any case this is not a great example and it works due to the tooth shape as it allows the entire assembly to be lifted when force is applied as the axel is not constrained (floating) by anything other than gravity. So gravitational energy storage is used here.
If you were to change the shape of the tooth (will need to be custom designed as it will not be standard) to not allow the gear to be lifted then it will be just locked and not able to move.
I was thinking initially that this will be easier to understand due to reduced number of parts but it is actually more complicated than the case (a) where a belt is used and gravity plays no role other than for the amount of wheel friction.
Elastic energy storage is simpler and more visual and the slip is easier to observe also.


There is an infinite variant of floating gearboxes and all of them will behave the same. I feel that is not constructive to discus all of them as the conversation will never end.
You will have backslash if you have changes in acceleration rate that should let you know that acceleration is not constant meaning the speed of the moving gear assembly is not constant as the movement of the hand is as constant as possible of course will be affected by this charge discharge cycles.
Of course constraint the axle (adin the necessary 3'rd point ) will remove the backlash and it will act as a normal gearbox including force multiplication.
The gearbox assembly is lifted slowly over a long period (charging) then over a much shorter period energy is discharged when the assembly falls back down (what you see as backlash and the definition will be correct).

IanB:

--- Quote from: electrodacus on February 11, 2023, 09:54:32 pm ---So what are you saying exactly ? Will that gearbox be able to move towards the wall ?
--- End quote ---
Yes, I am saying we can construct a mechanism so that when the human pulls on the rope, the gearbox mechanism moves towards the wall.




--- Quote ---Will you mind explaining what is inside the gearbox to allow it to move ?
--- End quote ---
You are the smart one here, you figure it out.

I am pretty sure everyone else reading this thread can make a post that says, "I can see how to construct such a mechanism."

Let's see how many do.

PlainName:
I can easily see how to construct such a mechanism.

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