Recent content by jore1

  1. J

    Calculating the components of the Ricci tensor

    Thanks for the response. So is my conclusion correct that there is a mistake in the question? I think the idea was that the component ##R_{22}## was supposed to be ##e^{2x}## either way. Though this doesn't seem to be work.
  2. J

    Calculating the components of the Ricci tensor

    Yes, I mistyped the metric should be: ##ds^2=a^2dt^2 -a^2dx^2 + \frac{a^2e^{2x}}{2}dy^2 +2a^2e^xdydt -a^2dz^2## This then gives: ##g_{ab} = \left[\begin{matrix}a^{2} & 0 & a^{2} e^{x} & 0\\0 & - a^{2} & 0 & 0\\a^{2} e^{x} & 0 & + \frac{a^{2} e^{2 x}}{2} & 0\\0 & 0 & 0 & -...
  3. J

    Calculating the components of the Ricci tensor

    (I) Using the relevant equation I find this to be ## \frac{e^{x}}{2} ##. (II) Using the relation for the Ricci tensor, I find that the only non-zero components are...
  4. J

    Can Resistance Determine the Torque in a Solenoid Pendulum System?

    Thank you for the reply. I now better understand the problem.
  5. J

    Can Resistance Determine the Torque in a Solenoid Pendulum System?

    Thank you for your reply Would the magnetic moment of the solenoid be included and would the induced current be found though the self inductance of the loop and solenoid?
  6. J

    Can Resistance Determine the Torque in a Solenoid Pendulum System?

    The flux enclosed by the loop consisting of the solenoid, wires and conducting rod at an angle θ is Φ = blBsinθ, then using small angle approximations and differentiating the induced emf can be found. I know that there must be some torque opposing the motion but am unsure how to proceed.
Back
Top