Recent content by wrobel

I am just a Russian guy who is a little bit interested:)

Doesn't it strike you as a bit of a contrast, though, that Catherine's progressivism was fueled by the Enlightenment, whereas Tolstoy was a religious philosopher, albeit of a very peculiar kind?

Science is being co-opted by pop culture:)

Waldemar Gorzkowski 25 LAT OLIMPIAD FIZYCZNYCH Warszawa 1979

Another devaluation of culture, now via AI.

What do you think: if you were a participant in the Physics Olympiad and you handed in such an explanation, would the examination board accept it as a solution?

subj from an old Polish physics olympiad problem book A thin, light, and flexible paper tape is wound around a spool that has the shape of a uniform cylinder (shaft). The end of the tape is attached to the clamp of a spring dynamometer. At the initial moment, the system is positioned as shown...

I thought that such things were studied in the first year of mathematics and physics departments at universities, rather than in research articles. I mean the paper by Norman A. Phillips (2000)

In the Russian segment of the internet, a question that is, in fact, painfully simple has been sparking heated debates for about eight years: can a propeller aircraft take off from a moving treadmill? Initially, this question was raised on a student forum of a military aviation school. Since...

In math and physics, your IQ means nothing; only the problems you have solved matter.

Once again: this vector is the direction vector of the ball's rotation axis. The magnitude of this vector does not matter. The angle of rotation about this axis is given in #27.

Yes and It is not a surprise. If ##b = 0##, then the beetle is at rest, and thus the ball does not move. If, in the theorem cited in #29, the initial position coincides with the final position, then the axis of rotation is not defined uniquely .

The direction vector of the axis of the ball's rotation from its initial position to its final position is $$\left(\sqrt{(R/b)^2-1},0,1\right)^T$$ These coordinates are relative to the ##Oxyz## frame in the attachment UPD: This statement should be understood in the sense of the following...

It turns out that the system of ODEs in the attachment is integrable in closed form. Thus, the answer to the question is as follows: $$2\pi\left(1-\sqrt{1-\frac{mb^2(2J+mR^2)}{(J+mR^2)^2}}\right)$$

I just can't understand one thing: the equations of the ball's motion have already been derived. You can check this derivation out, and if you find it correct, you can solve these equations numerically and compare the results with your own hypotheses. Why don't you do this obviously rational thing?