Crank Journal Turning w/ Attached Bar: Does it Ever Stop Moving?

[Herman Trivilino]

1) I am proving my assertion in terms of position and time by looking for any period of time where position has not changed.

But your assertion is just a definition.

2) The ball example, yes, acceleration vector is not zero when V=0, which is also more evidence that the ball itself never ceases it's motion, [...]

Depends on your definition of "ceases its motion".

So here it seems we have at least two pieces of evidence, shown by the math, to prove that the motion has not stopped ("paused for any period of time", "ceased motion for any period of time", "has no change of position for any period of time")

Yeah, but what you're doing is explaining the precise physical conditions in which your definition of "stopped" is satisfied. Perhaps you're thinking that you're proving the validity of your definition? Definitions are assumed to be true so of course you can prove they're valid. But there's no physics involved, just semantics (the meanings of the terms you're defining).

 

[A.T.]

And for me, the definition of "stopped motion" or "continuous motion" comes from the math which defines the definition, not the other way around.

Definitions come from humans, who need a short-hand for something that would take too long to state every time.