Recent content by Luxucs

Gotcha, thanks for clarifying! To sum it all up: To find the emf in any loop, regardless of the size of the wires or whether the boundary is constant in time, we can write, ##\epsilon = \oint ({\vec E + \vec v \times \vec B}) \cdot d \vec l## Now, based off of what you stated and what I found...

Hi there! I have what I hope is a relatively straightforward question regarding Faraday's law and motional emf, but its been causing me to scratch my head for quite a while. Consider the diagram attached to this post (source is linked at the bottom). Assume that all of the wires and the rod are...

Excellent, thank you!

One quick question I would appreciate clarification on about this - does this include non-inertial frames as well, or is the magnitude of the four-force only invariant in inertial frames?

Hi there, I was recently helping a friend of mine with a fairly standard electromagnetic induction problem (a basic sketch of the set-up is attached) where we have a current loop with resistance ##R## moving through a magnetic dipole and had to roughly sketch out the current induced in the loop...

No worries. I think I grasp the fundamentals of what you're getting at anyway. The point is that space and time separately are not invariant (due to length contraction/time dilation), but when put together into spacetime are. Thanks for taking the time to help with this problem! I'm good to go...

Is this due to the spacetime interval between these two events being invariant, or is it something else? Alright, I think there's some clarification that I need here. Are we assuming the front end of the cylinder wall retracts after coming down (as in, it snaps down and comes back up...

I'm still around. No, I don't have the solution manual for this book, sorry.

Homework Statement A thin rod of proper length 4a is traveling along the x-axis of a frame S with a speed ##{\frac {\sqrt 3} 2}c## in the positive x-direction. A hollow cylinder CD of proper length 2a is placed with its axis along the x-axis, so that when the ends of the cylinder are open the...

Great, thanks for the help!

Alright, so I've stepped back and re-evaluated this problem from the beginning. I'm figuring that my issue mainly has to do with the way I've set up the coordinates here. Let y = 0 be the relaxed position of the spring (i.e without any masses on it). Then, when the masses are added, the spring...

##y(0)## from (7) yields the expected displacement though, A. Are you saying in that the way that I have set up things, it should be instead yielding 2A? If so, would my new initial condition have the form ##y(t = 0) = 2A##? My understanding is that with Hooke's Law, y is the displacement from...

Homework Statement A spring with spring constant k is attached to a box of mass M in which is placed a small body of mass m. The system is displaced a distance A from equilibrium and released from rest. Find the normal force between the box and the small mass as a function of time. For what...