I arguably have one physics groupie. And the most important words to remember in that relationship are "Yes, dear." She keeps me within a virtual displacement of the straight and narrow.
I know the projection along a diameter is an SHM but is circular motion itself an SHM? If we consider the mean position to be the center of the circle then the centripetal acceleration is proportional to the distance and in opposite direction of the position of the particle. So shouldn't it be an...
Wikipedia defines SHM where force is proportional to displacement
But, if we allow displacement to be given by a vector, the individual force components are indeed proportional to the individual displacement components.
Would that actually justify circular motion to be an SHM?
@ManishEarth Exactly! So, philosophically, it is an SHM?
What do you say?
Additionally, an answer has been given against my argument. I dunno. Even in QM, you do use spherical harmonic solutions to model vibrating strings in plane
That makes it the other way round. SHM is a type of circular motion. :/ I am doubtful now
@ACuriousMind: Is there a chapter/section of a text you can recommend that goes through the whole representation theory of Lie groups, etc. using the roots and weights method? I've watched the Perimeter lectures on it, but it's very hand wavy.
@JamalS I have never completely worked through it, but I find these lecture notes to be quite comprehensive, chapter 35 covers what you are asking about, and there's no hand waving at all.
How can we lock the frequency of a vertical cavity surface emitting laser (VCSEL) to the Rubidium-87 D1 transition without using a dichroic atomic vapor laser lock (DAVLL) setup?
@KyleKanos Nothing to do with your math skills - there are more notations for matrices than cats have lives. I've seen things like $\mathrm{Mat}_\mathbb{R}(n,m)$ as well as simply $\mathbb{R}^{n \times m}$ or $\mathrm{Lin}(\mathbb{R}^n,\mathbb{R}^m)$.
I should probably start asking more, but I think I'm at the point in research where I'm only questioning my own work and no one else here does that so it seems sorta moot
Also, my day has just started and i have five close votes left
Little boy had a yield of 16 kT of TNT. The largest artificial non-nuclear detonation on record had a yield of 7 kT. You don't have to worry, that compressor station, if it blows, won't be anywhere near the size of an atomic bomb — Jim21 mins ago
@Jim: Unless, of course, it is a nuclear bomb that blows up the compressor ;)
@ACuriousMind: If you are rejecting an edit because it contributes information that is incorrect, you can choose the option that it harms the post, and write a comment explaining why it's factually incorrect.
I've noticed several (>~3) times over the past few months that the question About the proposal to ban homework has been bumped up the front page of Meta, on separate occasions. I don't think it happens that often at all, and I'm not sure whether it's a good thing on Meta.
Is there some way to se...
...what is the point of showing me questions in the LQ queue when I'm out of close votes? I cannot vote to close them, so I must skip the review if I do not think they "look OK" or that I could edit them.
How can we lock the frequency of a vertical cavity surface emitting laser (VCSEL) to the Rubidium-87 D1 transition without using a dichroic atomic vapor laser lock (DAVLL) setup?
