Recent content by metgt4

Homework Statement Given a second order differential equation: y'' + P(x)y' + Q(x)y = 0 If y1(x) and y2(x) are linearly independent solutions of the DE, what form does Abel's Equation give for W(y1(x), y2(x))? If we assume that one solution y1(x) is known, what first order DE results from a...

Homework Statement Two point charges, -q and q/3, are situated at the origin and at the point (a,0,0) respectively. At what point on the x-axis does the Electric Field Vanish? Find the potential function and show that the V = 0 equipotential surface is a sphere Homework Equations...

Nevermind, got it figured out. I went wrong in finding x and y as well.

Homework Statement (ξ,η) in a plane are defined by η = (x2 + y2)1/2 - x and ξ = (x2 + y2)1/2 + x Find x and y in terms of ξ and η. Show that the kinetic energy of a particle of mass m is: T = (m/8)(ξ + η)(ξ'2/ξ + η'2/η) The Attempt at a Solution My attempt is scanned and...

Homework Statement Prove that the magnitude R of the position vector for the centre of mass from an arbitrary origin is given by the equation M2R2 = M\summiri2 - (1/2)\summimjrij2 Homework Equations F = MR'' F = p' p = \summjrj' The Attempt at a Solution I'm not...

Oh, man, I must REALLY need some sleep! I just got in the routine of estimating everything as a disc rotating around the axis. Thanks for pointing me in the right direction there.

Hey Everybody, Right now I'm working on a what would happen to the moment of inertia if all of the ice on Earth melted and were to be redistributed. I've found the moment of inertia of all of the grounded ice on Earth and the moment of inertia of the Earth without this ice, but now I need...

Thanks! That helped a lot

I tried to put the equations in my post but it didn't seem to work. Is there any special way to put equations into a post that I'm not seeing?

I seem to be off by a factor of 2 on the answer to this problem but I can't find where I went wrong. The term in front should be 1/5 and not 2/5. Does anybody see the mistake in my work? It is attached in a word document because I can't figure out how to put the equations into this post...

How would you go about solving the three body problem in the case of our sun, earth, and moon? The moon's gravitational effects are enough to rule out using the restricted three body problem solution, right? So if given a set of initial conditions, how would one find equations for the...

Homework Statement Consider a very thin flat plate positioned in the x-z plane. The plate is semi-infinite with an edge running along the z axis. The plate is held at potential V0. Using techniques from the theory of complex variables a solution is determined to be: V(x,y) =...

Thanks! I wrote that in a bit of a rush but so long as the idea is right I'll keep working with it.

Homework Statement Since I don't know how to insert equations into a message here, I've scanned both the problem and my attempt at a solution. Where I run into problems is how to find an. I'm not completely sure how to treat that integral and was hoping somebody could nudge me in the...

What I do know about eiaz^2 is that within 0 < argz < pi/4 it is analytic and eiaz^2-->0 as |z|-->infinity Could I expand that in terms of a Taylor series and use the method of residues to solve the integral? Would this be the correct expansion for cos(ax2): ex = 1 + x + x2/2! + x3/3...