Where is "here" fresh_42? I tried from the page where this thread appears (is that what you meant?). It took me to the article, but I can't find a link to comments from there.
Does anyone know how to leave comments for an Insight Article? I wanted to comment and ask a question, but I can't find a link (not obvious to me anyway). At the bottom it reads to login to leave a comment but just tells me that I'm already logged in when I click on it, and I cannot find any...
A big thnx to everyone for your help on this problem. As all of you took the time to help out, I thought to share my final solution. Shout out to kuruman for the insight article; it was the crow bar I needed to pry out an answer.
given: ##\Delta y## = 25.0 m, ##\Delta x## = 60.0 m, ##m## = 15.0...
I have attempted the problem a few times, and have posted my work below. I thought to check my work using
## v_x t = v_1 \times \cos\theta \times t = \Delta x##
to see if I get back expected results, and I did for the horizontal motion (the substitutions are from the numbered steps below):
##...
Thnx so much for the response TNsy. Pointing out my contradiction between lines (1) and (2) was the big aha moment for me, and including the ##\rho gH## term makes the physical sense clear now.
Advanced apologies for this format; I am posting my question as an the image b/c the Latex is being very buggy with me, and I lost a kind of lengthy post to it. Can anyone show me what I am doing wrong? I have attached a pdf version for easier reading if need be.
I couldn't resist the parting comment that your original question brings to my mind, what are called in physics, the equations of continuity; they arose originally in fluid mechanics but the concept shows itself in electrodynamics and energy as well. I lifted a paragraph from a Wikipedia...
Homework Statement
given: A wire loop with a circumference of L has a bead that moves freely around it. The momentum state function for the bead is ## \psi(x) = \sqrt{\frac{2}{L}} \sin \left (\frac{4\pi}{L}x \right ) ##
find: The probability of finding the bead between ## \textstyle...
Sorry for delayed response; thnx are in order; I was away on vacation. Thank you Dick and Ray. The posts got me back on top of the curve (my Fourier forays are ten years ago now), so I committed them to my notes. I might be back for more regarding the M. Chester text I am reading. Thnx again.
Thnx much for that Dick! That was the fix I needed. Now it brings to my mind a question about the form of the exponential argument. The author
wrote
$$ C_k = \frac{1}{L} \int_0^L e^{-ikx} f(x) dx $$
and I used the form literally, but now I am concerned that I missed a basic Fourier series...
Homework Statement
I am self studying an introductory quantum physics text by Marvin Chester Primer of Quantum Mechanics. I am stumped at a problem (1.10) on page 11. We are given
f(x) = \sqrt{ \frac{8}{3L} } cos^2 \left ( \frac {\pi}{L} x \right )
and asked to find its Fourier...
Yes, I did get the sinking feeling I was begging the question after I posted
So how about this?
given:\hspace{10mm}\cos^{-1}(-x) = \alpha and \cos^{-1}(x) = \beta
show:\hspace{10mm}\alpha = \pi - \beta
from given
\cos\alpha = -x
\cos\beta = x\hspace{5mm} so
\cos\alpha = -cos\beta
\cos\alpha...