Summary:: Could you send a second wave pulse down a string that would overtake an earlier wave pulse?
Got this question in my physics textbook. Ignoring reflection (i.e., you had a very long string), say you send a transverse wave pulse down a string fixed on its other end to a wall. Could you...
A classic example in textbooks is calculating the magnetic field inside a solenoid of length ##l## with ##N## turns and making the assumption that the magnetic field inside the solenoid is pretty uniform and outside it is 0. Using Ampere's law ## \oint_C \vec B \cdot d \vec l = \mu_0 I_{through}...
I have to disagree. Physics as I see it is not just applied math but is a combination of applying math and then stepping back, looking at the math, and making sense of it all from an intuitive (albeit perhaps mindbending at times) standpoint.
Fair point. I was just wondering if there is other insight that tells you that ##\frac {v_{max}} {x_{max}}## is the natural frequency without referring to other derivations.
I just noticed something that is a little bit of a different perspective on a mass-on-spring (horizontal) simple (so undamped) oscillator's frequency and looking for some intuition on it.
There are many ways to derive that for a mass on a horizontal frictionless surface on a spring with spring...
So I have these 10k 5% resistors from Stackpole Electronics and just because I never actually took the time to look at a resistor datasheet beyond nominal resistance, tolerance, and power rating specs, I decided to look them up. Came across a couple things I wanted to ask about:
1) Maximum...
That is indeed one of the books I have lined up, though a little more down the line! I am just currently on "Electric Machinery Fundamentals" by Chapman. The book I mentioned in my answer will be one I go into next as it has some more mathematical rigor in it.
I am familiar with what you...
Alright. Though I am not able to answer your question directly, as I have not reached the level of knowledge needed, I'll share something I recently tried to answer myself that kind of is in the same ballpark as your question, albeit this is a bit long-winded:
1) The electromagnetic theory will...
What! I can't believe it. Oh my God. I loved his replies to my questions so much and he always seemed humble and genuinely cared about learning and making everyone around him learn. Oh what a loss! That is terrible news!
Rest in peace Jim. :(
Wow I'm surprised this question hasn't gotten any answers at all.
Anyways, I'm not too knowledgeable but your reasoning makes total sense to me, and I want to ask if you can elaborate on what you mean by the book insisting that the "time dependence only comes from ##p(t)## and ##\frac {d\vec k}...
I was going to say if you rewrite the function inside the limit as ## \frac {x^2} {y} + y ##, then perhaps that offers a better perspective but I'm not sure.
I think actually seeing that the top has ##x^2 + y^2##, that should immediately strike you as saying that changing the function into its...
I was just using this as an example. I am aware of the other ways to arrive at the equation for energy. That was not my question, though I appreciate the reminder.
I had a feeling perhaps the fundamental theorem was involved here, but I was thinking for something more rigorous, especially with...