Thank you. I just thought it might be correct his having being one of the CERN crowd.
I (personally) wasn't drawing any conclusions, just finding his argument OK but his conclusion hard to swallow. But I'll "leave it to the experts". Thanks again.
re Post 4,
Brian Cox book ISBN 978-0-241-95270-2
The Quantum Universe
Chapter 8
The wave "leaks" outside the well of Alan's width L, and so has a possibility of a variation on its energy ---> a slightly different set of sin waves.
But can all the Fourier series involved allow this super-vast...
Your question interests me, also. I am a layman where this is concerned. But Brian Cox writes that "every similar fermion (eg, think electrons with like spin) has a slightly different energy level from every other in the Universe". You would think you would begin to move into a different energy...
I have deliberately waited before adding this:
In the initial equation, the trick, of course, is that the second derivative of x equals another f(x). So this suggests that x equals either a cos function, or an exponential function. So we get to your answer which you knew instantly!
Thanks again!
Yes, I can guess the general idea but I was thinking about at the problems of Solar e' on a large scale. Companies use battery storage which is very costly and then still has to match ("instantaneously") Grid needs, needing another costly step, such as a synchronous motor. So an extra (costly)...
OK thanks. That is a help.
But given the Fuel Cell only pushes a few volts (how many, not sure) are there lots of little inverters or do you add the DC volts up and convert at some high voltage?
Fuel cells quickly provide electricity from H2 when switched on. But what exact steps get to Grid voltage? Are there many small inverters, and if so, how do they keep the output in step? What sort of efficiencies are there?
I almost agree: but you aren't guessing. With background knowledge, you are making an informed try. I will accept that (for those with their maths relationships alive) what I was seeing wasn't guessing. But for me, it wasn't clear.
Its not a trivial derivation, as it turns out. No wonder I...
Thank you, LCKurtz. I can work with your explanation. I have forgotten my maths, many years. So it helps to "know" some other relationships, allowing things to fall into place.
Just saying things like "call the constant ω^2" is (from my point of view) assuming what you are trying to prove. And...
Thanks ++. That is exactly what is bothering me. But I am still not getting it!
Show me how to get from your last equation to the sine-cosine format.
I must have forgotten my derivations because its 3rd sentence where I get stuck. If you integrate I can't see where a Cos term appears.
Homework Statement
Hookes Law gives: F = -kx. This is SHM. But I cannot see how to get to the sinusoidal expression from this. (In all the explanations, they cheat, and just introduce de novo Omega or Omega^2.)
But how do you get to m. d2x/dt^2 = -x.(omega) ^2
Homework Equations
F = -kx.
m...