Recent content by alex.dranoel

  1. A

    Period of a particle in a given potential (ex. from Mechanics Landau Lifshitz))

    I found the way to compute the integral. Firstly, subsitute ##y=\alpha x## to get ride of the ##\alpha## term and then factorize ##E## under the square root. Then substitute ##\sin z = \frac{U_0}{E}\tan y##. If you do everything correctly you will end up with the definite integral: $$...
  2. A

    Period of a particle in a given potential (ex. from Mechanics Landau Lifshitz))

    Homework Statement Determine the period of oscillation, as a function of the energy, when a particle of mass ##m## moves in a field for which the potential energy is $$ U = U_0 \tan^2\alpha x.$$ Homework Equations The relevant equation is given by the general formula for the period...