A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing


  • 5 years ago

Determine the period of the oscillations as a function of the initial energy E of a particle of mass m moving in a potential energy U=A|x|^n

  • This Question is Closed
  1. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Can you give a more specific description of the system? Is this a spring? a pendulum? something else? I assume you mean to say the potential energy of the system is given by \[U= A \left| x^n \right|\]but what is x? a length? In general oscillatory motion problems involve writing some equation of motion, i.e. for an SHO \[mx''+ kx = 0\] which has the period\[T= 2\pi (k/m)^{-1/2}\] But the energy equations would seem to imply some conservation equation. Perhaps you could just retype the question from your text (or whatever other source it's from) to make it more intelligible.

  2. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    You can recover the force (=ma) by taking the negative of the partial derivative of U wrt x, then use an approach similar to the one described above... set up a differential equation and define the square of the angular frequency from coefficients.

  3. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...


  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.