Recent content by teeeeee

Thanks for your quick reply. Still a couple of things I don't follow... How exactly do you transform from \textbf{r}=(t,1,0,0) to \textbf{R}=(atanh(t), \sqrt{1-t^{2}},0,0) ? And how do you get from the square root expression to the sech-squared term? Thanks for your patience!

Hi, I am trying to show that timelike geodesics reach the Rindler horizon (X=0) in a finite proper time. The spacetime line element is ds^{2} = -\frac{g^{2}}{c^{2}}X^{2}dT^{2}+dX^{2}+dY^{2}+dZ^{2} Ive found something helpful here...

Hi, I am trying to obtain a Lagrangian for a particle moving on the surface of a saddle z = x^2 - y^2 I have an added complication that the saddle is rotating with some angular frequency, w, and not sure how to incorporate this rotation into my kinetic and potential terms. This is the...

Anyone? Please help

Hi, Could someone help me see how the solution of the equation \frac{1}{\mu} \frac{\partial p}{\partial z} = \frac{1}{\rho} \frac{\partial}{\partial \rho} (\rho \frac{\partial v}{\partial \rho}) is v = \frac{1}{4\mu} \frac{\partial p}{\partial z} \rho^{2} + C_{1}ln(\rho)...

Hi, Could someone help me see how the solution of the equation \frac{1}{\mu} \frac{\partial p}{\partial z} = \frac{1}{\rho} \frac{\partial}{\partial \rho} (\rho \frac{\partial v}{\partial \rho}) is v = \frac{1}{4\mu} \frac{\partial p}{\partial z} \rho^{2} + C_{1}ln(\rho) +C_{2} Thank...

Hi I'm trying to derive the velocity profile for Hagen-Poiseuille flow through a pipe. Using cylindrical coordinates (z direction horizontal), I began by applying the Navier-Stokes equations to each coordinate. For z, I got: \frac{1}{\eta} \frac{\partial p}{\partial z} = \frac{1}{\rho}...

How do I determine if there are 2 different potentials..? All the information I have is in my first post.

So are F,G and H all zero? Or do I need to include a constant at the end? Or a function of all three variables at the end? Thanks

I don't understand what you mean..

Hi, I wonder if someone could help me. I'm trying to find the potential function,\phi, of the field: v = y2z3i + 2xyz3j + 3xy2 z2k So using v = \nabla\phi, I have found: \frac{\partial \phi}{\partial x} = y2z3x + F(y,z) \frac{\partial \phi}{\partial y} = y2z3x + G(x,z)...

Hi, Can someone tell me if: -E dotted with ( A + B ) is equal to -E.A -E.B where E, A and B are all vectors What I mean is, does the minus sign appear on the E.B bit as well? Also, is \int \frac{d}{dt} (A) dV equal to: \frac{d}{dt} \int (A) dV Thank you

Hi, I am trying to follow a derivation of the euler lagrange equations in one of my textbooks. It says that \int ( f\frac{dL}{dx} + f'\frac{dL}{dx'}) dt = f\frac{dL}{dx'} + \int f ( \frac{dL}{dx} - \frac{d}{dt}(\frac{dL}{dx'}) ) dt where f is an arbitrary function and L is the...

Hi, Im having trouble understanding something in one of my Dynamics lectures. The lecturer said that: dr/dt dotted with d2r/dt2 (where r is a vector) equals: (1/2)(d/dt(dr/dt dotted with dr/dt))... I just can't get this result. I know it has something to do with the product rule...