PeroK's latest activity

Yes, as @anuttarasammyak also wrote. Sorry I missed that. So the reason why K diverges computationally in this case, is that the rest...

Yes, but here one of the limits is due to actual physics (KE of the rim particles of constant finite rest mass going to infinity), while...

See also the recent thread about the electric field of an infinite, uniformly charged plate.

Mathematically, it's that the sequence or sum diverges. Swapping the order of limits is not always reliable. See the simple example for...

Do you mean a hoop with zero or non-zero extension in the radial direction? In the case of a realistic non-zero extension, it's not...

We have two limits here. The first is the limit involved in the definite integral of a continuous mass distribution across a disk. We...

Exactly. To understand it quantitatively, one has to focus on the contribution of the integral near the ##r=R## region. For that...

That's irrelevant, because the KE is computed in the laboratory frame (not in the disk frame), where the spatial geometry is Euclidean.

Compute the integral in the interval ##[R-\epsilon R,R]## for small ##\epsilon##, it should explain what's going on.

I think the cause is that the mass distribution is specified in the inertial frame. Then, in the local frame of a rotating piece, as the...

Consider a disc of radius ##R## with a uniform mass distribution and total mass ##M## rotating in its own plane. In its COM's inertial...

Bertozzi even filmed a simple test of this, and somebody put it on YouTube:

As Peter has pointed out, in this thread all you can do is apply the theory. You can call this "doing a thought experiment" if you like...

Just as soon as I finish my post-doc in endocannabinoid pharmacodynamics.

You might like to read this: https://math.ucr.edu/home/baez/physics/Relativity/SR/rigid_disk.html