-1
$\begingroup$

I saw that problem with spring connected circularly and found that for one of the normal mode frequency is zero, and could not explain why.

$\endgroup$
  • 2
    $\begingroup$ That sounds like a uniform translation. $\endgroup$ – garyp Jan 7 '16 at 19:01
  • $\begingroup$ @garyp: your answer is right. I explained it a bit more. $\endgroup$ – Kevin Kostlan Jan 7 '16 at 19:45
  • 1
    $\begingroup$ Hint: Solve for the modes, not just the frequencies. Then it will be completely obvious. $\endgroup$ – DanielSank Jan 7 '16 at 19:48
3
$\begingroup$

The zero frequency mode corresponds to a merry-go-round of masses rotating in the same direction. No springs are being stretched/compressed so there is nothing (apart from friction of course) to stop and reverse the motion of the masses.

| cite | improve this answer | |
$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.