Explore BrainMass

Explore BrainMass

    Motion stability and small oscillations

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    The morse potential is D*[1-exp(-ax)]^2 , where D, a are positive constants. Show that x=0 is a stable equilibrium, and that the period of small oscillations about it is...
    (See attachment for full question)

    © BrainMass Inc. brainmass.com February 24, 2021, 2:32 pm ad1c9bdddf


    Solution Preview

    Hello and thank you for posting your question to Brainmass!
    The solution is attached below in two files. the files are identical in content, only differ in format. The first is in MS Word XP Format, while the other is in Adobe pdf format. Therefore you can choose the format that is most suitable to you.

    The morse potential is , where D, a are positive constants. ...

    Solution Summary

    The solution describes how to find the equilbrium points of a potential and how to find the period of small oscillations about this potential using Taylor's series expansion.