anuttarasammyak's latest activity
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anuttarasammyak reacted to wrobel's post in the thread To get rid of a singularity in the Lagrange equations with
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Sure. The Second Newton is ##m\boldsymbol {\dot v}= \boldsymbol R.## Here ##\boldsymbol R =R\boldsymbol e_x## stands for the tension... -
anuttarasammyak reacted to wrobel's post in the thread To get rid of a singularity in the Lagrange equations with
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it seems yes -
anuttarasammyak reacted to wrobel's post in the thread To get rid of a singularity in the Lagrange equations with
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A disk of radius ##r## is wrapped with an inextensible massless string. A particle of mass ##m## is attached to the end of the string... -
anuttarasammyak replied to the thread To get rid of a singularity in the Lagrange equations.I am sorry for my poor English. Tension force is zero. The wire outside the disk is straight and becomes short with pace ##r\Omega##... -
anuttarasammyak replied to the thread To get rid of a singularity in the Lagrange equations.I try to make the Lagrangian. Say coordinate of m is (X,Y) $$X=r \sec \phi \ \cos (\theta - \phi) $$ $$Y=r \sec \phi \ \ sin (\theta -... -
anuttarasammyak replied to the thread To get rid of a singularity in the Lagrange equations.Thanks. For x/r ##\rightarrow \infty##, the purple force decreases so ##\dot{x}## would also decrease. For x=0 wire tension cannot... -
anuttarasammyak replied to the thread To get rid of a singularity in the Lagrange equations.I see. Tension from the wire (blue) generates centripetal force (green) for circulation of m. The rest component (purple) causes... -
anuttarasammyak replied to the thread To get rid of a singularity in the Lagrange equations.Does the wire wrapping direction wrt ##\Omega## matter in your result ? It seems that one tighten and the other loosen the wire. -
anuttarasammyak replied to the thread I Best way to focus charged particles back to their source?.https://www.feynmanlectures.caltech.edu/II_29.html is a good one to know the fundamentals. -
anuttarasammyak replied to the thread I Best way to focus charged particles back to their source?.Applied magnetic field should be perpendicular to the velocity of the particle so that its track is a circle not a spiral. -
anuttarasammyak replied to the thread I Best way to focus charged particles back to their source?.Some alpha particles could be on circle track in constant kinetic energy and come back to the heavy source with a designed homogeneous... -
anuttarasammyak replied to the thread Astronomy Looking for a book on the effects of orbits on celestial observations.You may find some classic books of your taste at "Books in Astronomy" in Project Gutenberg, free, though I am not good at astronomy. -
anuttarasammyak reacted to Greg Bernhardt's post in the thread Announcement RIP Vanadium 50 with
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I have some solemn news to report. Many in the community had been wondering where the prolific @Vanadium 50 has been. V50 hasn't posted... -
anuttarasammyak replied to the thread I Conservation of angular momentum in the iceskater example.I would like to expalin it in the case of ellipse orbit of planets as shown in the figure below. You see that F has components that is... -
anuttarasammyak replied to the thread I Can (ordo) Fermions convert to Bosons?.At least energy, momentum, angular momentum of the system is conserved. I hesitate to refer spin or helicity or other pure quantum...


