Recent content by blintaro

Oops, that's set the constant to 1, not zero.

Hey, sorry for this late reply, but I thought I would go ahead and post in case someone needs this thread in the future! s0 is a function of s01 ( a constant) and t. Substituting into that equation is getting very messy, so I decided to set all of the constants to zero and graph the solution...

Hello JorisL, thanks for your reply! I've ended up substituting the solution into the equation and subtracting one side from the other, hopefully to get zero. p[s_, t_] = 2 b s^(a + 1)/(s0)*i*Exp[-b (s^2 + s0^2)] E3 = D[p[s, t], t] E4 = D[(2 b1 s - r/s) p[s, t], s] + D[p[s, t], {s, 2}] expr =...

Hello physicists, Pretty new to Mathematica here. I'm looking to verify that $$P(s,\tilde{t}|_{s_0}) = 2\tilde{b}_{\rho} \frac{s^{\alpha+1}}{\check{s_0}^{\alpha}}I_{\alpha}(2\tilde{b}_{\rho}s\check{s}_0)exp[-\tilde{b}_{\rho}(s^2+\check{s_0}^2)]$$ Is a solution to...

I think that makes sense in terms of an ionic fluid or free electrons in a metal... So does that mean if a wire connected a charged sphere to an uncharged sphere, say, then there would be quantitatively different behavior?

Ah I see! The enclosed charge must be zero! What about when the Gaussian surface encloses a line of current, then there might be enclosed charge right?

That's a good question! Since the definition of current is time varying charge I don't see why it can't be modeled as a line of moving charge. Which can be integrated along a line at given moment of time to give some amount of net charge. In this case the magnetic field in the solenoid was...

Hello all, I can't figure out why it is impossible to have a radial electrical field within a solenoid. My gut tells me there would be one. For that matter, I also don't understand why there is no radial component surrounding a current carrying wire. Considering gauss' law has not helped me so...

Hello people of the Physics Forums, this is going to be a bit of a long post, I apologize for that! I'm posting here to ask for some advice on how to prepare for my first sophomore-level modern physics class. I am feeling very nervous about this class because it is imperative I get top grades...

Right, but at some point when the spring comes back down it will reach it's full amplitude and all the energy would be potential then (some extension beyond the initial condition x= .05) So I wanted to set that equal to the initial condition, then solve the entire expression for the unknown...

Hmm, I set the gravitational potential equal to 0 at the full extension of the spring downward. That would work right?

Whoops, what I meant to say was that it should be all spring potential at the bottom of the stretch... there shouldn't be any kinetic because we're talking about the moment the block changes direction from down to up?

Perhaps "weight" can be thought of as normal force exerted on the body.

Homework Statement A 5.0 kg block hangs from a spring with spring constant 2000N/m. The block is pulled down 5 cm from equilibrium position and given an initial velocity of 1.0 m/s back toward equilibrium. What are the a.) frequency b.) amplitude c.) total mechanical energy of the motion...

Did you try making a list of Δt, Δ(x or y), Vi, Vf, and a for both the x and the y directions, then seeing if you can apply a kinematic equation to solve for unknown variables? For instance Vfy =sin67(magnitude of Vf) and Vfx = cos67(magnitude of Vf), so if you could use kinematics in one...