Recent content by ArtVandolay

Ahh apparently I forgot how to do algebra. Thank you!

In deriving the work-energy theorem, Griffiths does the following: ##\frac{d\mathbf{p}}{dt}\cdot\mathbf{u} = \frac{d}{dt}\bigg(\frac{m\mathbf{u}}{\sqrt{1-u^2/c^2}}\bigg)\cdot\mathbf{u}=\frac{m\mathbf{u}}{(1-u^2/c^2)^{3/2}}\cdot\frac{d\mathbf{u}}{dt}## I may have forgotten something essential...

Happy to be here! I just recently heard of the Theoretical Minimum. I'm actually sitting in on the Electrodynamics class that Susskind is teaching at school next quarter. Should be a great experience.

Thank you for the warning and the resource! In the derivation I'm looking at, he's still considering systems with holonomic constraints. Is Goldstein's treatment with Lagrange undetermined multipliers appropriate here? He only gets to nonholonomic constraints after introducing the holonomic case.

I think I understand. In this case, the original coordinates ##x,y,z## are not linearly independent as the derivation of Lagrange's equations requires, correct? And that's why we must introduce the Lagrange multipliers? This is essentially the example he introduces: A smooth solid of...

I'm working my way through Goldstein's Classical Mechanics and have followed the arguments until section 2.4 (Extending Hamilton's Principle to Systems with Constraints). In the second paragraph, Goldstein states that "When we derive Lagrange's equations from either Hamilton's or D'Alembert's...

Hi all! I have an undergraduate background in physics and am currently an MBA/MS in Electrical Engineering student interested in quantum computing from a professional perspective, but I'm primarily here as a lifelong physics enthusiast. I especially love learning theory, but it's easy to get...