wrobel's latest activity
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wrobel replied to the thread Problem-Solving Strategy for Dynamics Problems.For high school, such a problem-solving strategy is OK, but at the university level, it is too weak. For example, this is a mistake... -
wrobel posted the thread Undergrad A differential geometry question from continuum mechanics in Topology and Analysis.Consider the flow of a continuous medium with a smooth velocity field ##\boldsymbol v(x)## in ##\mathbb{R}^3\ni x##. The density of the...
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It means I do research without affiliation to any university or research institute. I still respect mainstream physics and try to...
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wrobel replied to the thread Introduction.independent of what?
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wrobel replied to the thread Graduate Observation about the rotation of a disc.To avoid questions like this, one needs to carefully explain three theorems about the angular velocity of a rigid body to the student...
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wrobel replied to the thread Undergrad Is the Cauchy stress tensor really a tensor?.That is indeed a good question — I mean the title of the thread. The fundamental hypothesis we start with is as follows: there exists a...
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wrobel replied to the thread High School Why the bottom of a rolling wheel has zero velocity.Let's discuss some details. Assume that two bodies are in contact at point ##A##. Actually, we have three different points here: the...
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wrobel replied to the thread Undergrad Is infinity a necessary concept?.We say that ##f(x)\to C## as ##x\to \infty## if for any positive number ##\varepsilon## there exists ##B## such that the inequality...
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wrobel replied to the thread An AI translation of kinematics lecture notes.Strange. Let's try it again
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As an experiment, I asked Gemini to translate my kinematics lecture notes from Russian into English. I provided a LaTeX file and asked...
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wrobel replied to the thread Undergrad A Toy Model of Atmospheric Geophysics.Yes, I neglect these effects and many others that you didn't mention.
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In this thread, I propose a very naive, homemade model of particle behavior in an atmosphere. Assume that the Earth and its atmosphere...
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wrobel replied to the thread Graduate A rotating frame equation for the "carousel experiment".The theory of motion in non-inertial reference frames is a classic, well-established topic covered in standard textbooks. It is by no...
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wrobel replied to the thread Learning linear algebra.https://share.google/ZLe1SAuV81KmYocxQ
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It is a simple problem, but I think it is quite nice. A disk of radius ##r## is connected to a shaft by means of a hinge ##S## located...
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