wrobel's latest activity

I'm afraid it is up to the proposer to provide a rationale for their hypotheses.:)

The hypothesis about the shape of the falling chain is a little bit strange

Gemini can't solve this problem. It writes all the formulas correctly except for the final step, when it substitutes the equation of...

Consider a hoop of mass ##m## that is situated on a horizontal plane and rolls forward without slipping. The radius of the hoop, if I...

Just a nice block problem

See Velocity addition theorem

not bodies but particles "No forces" and "zero forces" are the same thing.

There is a highly ambitious article by Udwadia and Kalaba: article . To explain their main point, I will first recall the...

linear ode with delay for example

Usually, the theory of the Moore-Penrose inverse looks like some profound material, but it is actually a combination of several...

this is an ODE not PDE

yes and you can reduce it to the standard form by the substitution ##u=e^{-3x+y}w(x,y)##

By the way there is a nice pitfall here. Let ##(x^1,x^2,x^3)## be local coordinates in the domain ##D\subset \mathbb{R}^3## and the...

Perhaps it would be more honest to discuss such things in the proper terms right away: manifold, local coordinates, Riemann metric. It...

In particular one can find a distance that the center of the coin passes as the coin makes one complete revolution: $$\Delta...