I would changy “floaty” to “weight”, because the “in-plane acceleration (slack string)” depends solely on the weight. I don’t think floaty is the right term in this case.
also, change “swing” to “speed”.
I think the official definition of “stability” is the amount of stability divided by the weight.
Most other definitions I’ve heard are based on false physics.
Your personal insults are unnecessary and do not lend any additional credibility to your points.
This is an oversimplification intended to confuse. Whether we speak of the linear momentum or of rotational momentum, the forces of the object can be modeled at any given point by the summation of the linear vectors affecting the system at any given time. Moreover, because this is a discrete time point, all forces, linear or non-linear, can be approximated as linear values. That rotation is described by calculus does not mean that we cannot find the vector forces affecting the object at any given time. Using simple substitution, we can solve the calculus equation for any specific point in time through Taylor’s theorem and the assumption of continuous differentiability. You are simply noting that one is linear equation, and the other a variable equation. By defining the time period to a specific value, the vector equations will indeed yield a force on the yo-yo at any given moment. That is how computers model complex, dynamic systems like nuclear explosions. Just sum the vectors like two hundred million times…
I was simply trying to point out that there is an angular momentum vector that needs to be considered along with the traditional gravity and velocity vectors.
I believe you all forgot to account for the the effect of the dangle arm on the rotator splint.
There were no personal insults, only professional commentary and recommendations to your presentation of “information”. If you took my recommendation as a personal insult you need to look inside yourself to understand why it felt that way. As to adding any credibility to my statements, I need none, I speak pure, fundamental, and irrefutable Newtonian physics.
I absolutely agree with this statement, angular momentum does need to be considered, but it is not resolved as a linear force vector being summed over the body, because it is not a force. But, if the angular momentum vector is rotated with with some angular velocity, then a moment (or torque) is realized in a direction perpendicular to the plane created by the angular momentum and angular velocity vectors. This is where angular momentum comes into play during the motion of the yoyo at the end of the string.
db
In short, the overwhelmingly most important thing factoring into the “speed” of the yoyo when all other considerations are equal is not the weight distribution but the overall weight. Everything else informs this to greater or lesser degrees (a yoyo that is stable due to a particular weight distribution might encourage fast play because it is more forgiving, for example).
I like that in cr41g’s consolidation of information he referred to moment of inertia with regards to resistance to change in RPM. A lot of people bandy about “moment of inertia” without really understanding that there are many, and that the one they’re finding equations and examples for relate to the spin of the yoyo, which shouldn’t be conflated with the one they’re talking about (speed of the object on a tether, moving around a pivot).
All y’all seem a lot smarter than me for this stuff… those equations make me go and waggle my cheeks all around. But I recognize when two unrelated things are being correlated and it seems to happen a lot in these conversations!
Parallel axis theorem does take this into account. It is true however that the farther the yoyo is from the center of its orbit, the less effect moment of inertia of the yoyo will have, and as such weight distribution does have a greater effect on spin time than on speed (circular/angular acceleration). If the string is infinitely long and the yoyo in comparison approaches the form of a point mass, the original moment of inertia vanishes and the entire thing is again solely depending on weight.
I don’t know enough to claim that there’s no effect at all, though I suspect the scale is beyond worrying about. But what I know is that they’re picking and choosing samples and equations that aren’t in line with what they’re trying to prove.
I suppose that you can test this by swinging yoyos of same weight as free pendulums and measuring their periods :o
They’d have to be spinning at the same RPM. That’s a tricky one. 
why do they have to be spinning
Well, this is my point entirely. People will argue that it makes a difference. Because they’re conflating pieces of information. I am not saying it makes a difference. I think the interval will be the same regardless.
One does not simply play with 10grams yoyo.
Yes, lighter yoyos have the potential to be played faster, but there will be a turning point when the yoyo becomes too light to be playable.
Now let’s just yoyo shall we…
But you CAN play with yoyos that are much lighter than the 62-70g range we see so much of. Would love to see more manufacturers do stuff in the 50-60g range.
49g
I’d love to try it sometime.
It’s exactly the Pacquiao that makes me wish more companies would do light throws. I should’ve just mentioned it in the first place… I LOVE this yoyo. You can do everything on it that you can do on any other yoyo… with slightly less stability (but still, it’s not like it’s a micro throw) and definitely less spin time.
The only downside of the Pac right now is that I can’t find proper pads for it. It takes Ghost/Baz/Chaz pads and nobody has suitable replacements. 
The Gen-Yo .555 pads are too thick. Dif makes one that’s exactly the right size but too slippy.
#irpad
I didn’t spot any, and I looked around at all the usual suspects! If you know of a size that I’ve overlooked, would you mind PM’ing me a link to it? By happy coincidence, it would also be the correct size for my RSL.
We may have some chaz pads that aren’t online - Shoot us an email and i’m sure we can find something to fit the Pacquiao.
Just a little help there for the YYE guy to bring him “back on topic” of yoyo physics…! 
db
Double layered Dif-pads work well in my 4xl.
