Recent content by PhysicsKid0123

Yes, I got it. Thank you.

Sorry, I don't know how to enable LaTex.

Homework Statement I don't know if this is the appropriate place to ask this, but I really do need some help. I am doing a homework problem and I don't understand what is being asked. It goes as follows: > Write a MATLAB function to evaluate the trigonometric interpolant ##p_n(x)## for a given...

I'm having a hard time wrapping my head around this. If the thrust force is internal, and by Newton's third law, there is the reaction force that moves the rocket, how does this not induce or affect motion of the center of mass? And by the way, thanks for helping me understand this!

So Goldstein says: "In order that the motion of the center of mass (didn't make reference to just the rocket alone, it is kind ambiguous) be unaffected, the ejection of the exhaust gases at high velocity must be counterbalanced by the forward motion of the vehicle." Can you elaborate what is...

Center of mass would actually move for the combined system of astronaut and hammer. These are slides which briefly paraphrase Goldstein's classical mechanics-- these equations is Newtons 2nd law for a system of particles.

Can someone clarify this for me-- how is the motion of the center of mass unaffected by internal forces, as is stated towards the end of the paragraph in the picture I've provided. It seems to me that motion of the center of mass directly affected by these internal forces. Specifically, the...

Hello PF community, I have a question about a choice that I need to make soon and I would like some opinions from the community. So I am double majoring in physics and applied mathematics at the moment, and I have been thinking about changing my second major to computational mathematics instead...

okay, that's true, now I remember. Thanks.

I'm talking about the unit vectors in Cartesian coordinates themselves \mathbf{e}_1 = \mathbf{x}, \mathbf{e}_2 = \mathbf{y}, \mathbf{e}_3 = \mathbf{z}

Quick question (a little rusty on this): Why don't unit vectors in Cartesian Coordinates not change with time? For example, suppose \mathbf{r} (t) = x(t) \mathbf{x} + y(t) \mathbf{y} + z(t) \mathbf{z} How exactly do we know that the unit vectors don't change with time? Or in other words...

So I have not been able to find too much information about this. Specifically in the context of the double slit experiment. I've seen just about the only video on Youtube that tries to explain this, but I did not understand-- I felt like somethings were not explained. I am acquainted with why a...

What exactly is meant by "rotation"? What exactly is rotating and rotating relative to what? Are the curves themselves rotating? I'm not sure if I understand...

"Definition: A map ƒ: A ⊂ ℂ→ ℂ is called conformal at z0, if there exists an angle θ ∈[0,2Pi) and an r > 0 such that for any curve γ(t) that is differentiable at t=0, for which γ(t)∈ A and γ(0)= z0, and that satisfies γ ' ≠0, the curve σ(t) = ƒ(γ(t)) is differentiable at t=0 and, setting u =...

Yes, that's right. Not boundary conditions, but continuity conditions. I've also fixed the the k^2 typo. I suspect there may be more typos and I might have to rework the problem to make sure I've stated everything correctly. So I didn't understand the parity operator part of your response, but...