Recent content by Andy123

Homework Statement The question is attached. Homework Equations The Attempt at a Solution I understand that the question would return to a typical conductor problem when ε2 >> ε1 so for the quadrant one, I placed image charges of q_1 at (d1 , 0 , -d2), -q1 at (-d1 , 0 , -d2) and another q1 at...

I have not much experience in solving pde before except using the separation of variables. I am trying to solve the following equation where omega is a box. Is there a close form of the solution? How should I approach the problem? Much thanks!

Thanks so much for helping me out! But in fact I already can't follow the discussion here :frown: as I have only learned the Lagrangian equation but nothing about the hamilton that you guys mentioned yet. Anyway, I think the question has some problems itself as thanks to...

But I can only use the SHM corresponds to a equilibrium point? but in this question, the approximation is for a certain unknown position that might not be a equilibrium point?

But I can only use the SHM corresponds to a equilibrium point but in this question, the approximation is for a certain unknown position that might not be a equilibrium point?

Also, if "second order" involving theta is neglected, why woudln'd θ¨θ be set to zero too?

I do not understand why ##R \dot{\theta}^2## can be neglected. Although, the angle deviation is small, does it imply that its time derivative is small too?

I mean to derive Eq. (8), I have to expand cosθ about ##\theta_0## (I understand this part) as well as taking -R(##\theta_0##')^2 to be zero. (this is where I lost it)

Homework Statement I am studying a question in Marion's classical mechanics: I am successful in obtain the equation of motion, which is where theta is the theta shown in . However, in the second part of the solution, , it puts derivative of theta to be zero and I can't understand this. Also...

Homework Statement A ball is rolling along a frictionless hemisphere with radius R. The question asks about when will the ball rolls off the hemisphere. I understand that this happens when the normal force vanishes. But I am also wondering what if the normal force provided by the hemisphere...

lol thanks!

Homework Statement I am just wondering is there any apparatus available to produce EM waves of arbitrary wavelength and intensities? If not, how I can produce an EM wave of my desired wavelength in the laboratory? Homework EquationsThe Attempt at a Solution I completely have no idea :(

No, it should be a very small fraction.

Homework Statement My problem is with the last line of the derivation. Usually, we take the rate of change of momentum (force) to be change of momentum divided by the impact time. But this slide of pp showed that the traveling time of the particle in the box is used but not the impact time. Why...

Homework Statement It's not in fact a question of homework but something I have been wondering but cannot get answers about the requirements for an observable pattern in young's experiment: 1. Polarisation: In my study, the book derived the intensity function of light assuming the light beams...