\frac{\partial x}{\partial x'} = 1 since x'=x-vt according to Lorentz transform, and v is constant since we are talking about an inertial reference frame.
Homework Statement
I'm trying to show that the wave equation is not invariant under Galilean transform. To do that I need to figure out how the Laplacian transforms from S to S'. I seem to have trouble understanding why the laplacian actually changes.
Homework Equations
x'=x-vt, t'=t
The...
That's actually right. But last time I wanted to explain things in more detail, I just ended up confusing everybody. I try to stay away from that. But I should have mentioned. Thanks
You don't need to calculate anything else. As rl.bhat said, "in a given medium, all waves of same type move with the same velocity regardless of their frequencies."
Eg: Both red light and blue light move at the same speed in a given medium.
(But note that sound and light don't move at the same...
If you know about the matrix notation, it might make things easier to work out. That's how I would do this problem but your solution seems correct to me.
Yes, that's right.
That's not correct. The pressure is equal to the atmospheric pressure. Notice that when the cylinder is placed horizontally, the weight of the piston is a vector that points downwards, not sideways. So it doesn't contribute to the pressure inside the cylinder.
No it...
All right, I get it now. The question should mention that those are the AC peak voltages. You should use phasor magnitudes in your calculations. So they aren't measured at the same time.
Think about how the magnitude of impedance changes in time. Does it stay constant? Does it have a minimum or a maximum? What should it be to yield the maximum value for the current?
I think one should use the given equation in the problem since this may not necessarily be the same as a mass-spring system. Note that mass doesn't appear in that equation whereas it does in the equation governing regular mass-spring system. I suggest sticking to
T=2\pi \sqrt{\frac{L}{2\mu g}}...
You need more information to be able to solve this problem. Is anything given about how where the first (or nth) fringe appears on the screen?
You can verify the fact that some information is missing by doing this: Change one of the given data and see if you can construct the same system...
Since one could use this approach to prove that energy is conserved (as kuruman pointed out in post #4), it's a good idea not to use conservation laws to begin with.
I also think this is the easiest way to solve this problem. Choosing momentum(p) and position(y) as variables to work with...
Is this an experiment you've done? Do you have a circuit diagram for this? I'm curious because those voltages don't agree with each other. (if they are measured at the same time, and the circuit is what I think it is)
A diagram is almost a necessity for any circuit question since a small change...