Archimedes principle vs Atwood's principle

[arildno]

I'm not even convinced that that result is correct.

I didn't say so. I said that you cannot justify an equation even if it has some correct partial result.
So, I agree with your withholding of judgment.

 

[mfb]

I read the talk page about the atwood's machine , he is saying that this concept puts in consideration the inertia of the moving fluid that replaces the volume of the object .

That is just the standard drag in a medium. It will not correspond to anything you can calculate with that Atwood approach.
The acceleration of objects in water can exceed g.

 

[abdo799]

That is just the standard drag in a medium. It will not correspond to anything you can calculate with that Atwood approach.
The acceleration of objects in water can exceed g.

I know, i searched about this atwood thing in a textbook, found nothing