1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: New troubles hahah

  1. Oct 8, 2006 #1
    we finally got that question, it took us some time but we missed a minus sign!!!!! hahah stupid little mistakes, the ones we are working on now are
    given the amplitude of a damped harmonic oscillator drops to 1/e of its inital value after n complete cycles show the ratio of oscillation to the period of the sam oscillator with no damping is

    T damped/ T undamped = (1 + 1/(4pi^2 n^2) ^(1/2)

    i got the auxillary parts where T undamped equals 4pi squared/q^2 where q is 2pi n , and T damped is 4pi ^2n^2 + c2pi n/m somethings not working because i get the wrong stuff on the bottom and c2pi n/m has to equal 1? or rearranging it i get square root ((cn2 (pi))/k + 1) equals Td/T so cn2 pi /k has to somehow equal 1/(4pi^2n^2)

    for the second problem the terminal speed of a freely fallin ball is v when the ball is supported by a light elastic spring the spring stretches an amount x, show the natural frequiecy is

    w damped = sqare root ( g/x-g^2 / 4v^2)

    i know how to prove w undamped equals squareroot (g/x) that is easy

    for this one i am getting confused with the question from the time when it is accelerating to when it hits terminal speed and doesnt accelerate, do i have to integrate at all or set up two parts to the problem one with acceleration and one without? because how do i know if it hits terminal speed before it stretches the spring to the max x?
  2. jcsd
  3. Oct 8, 2006 #2

    Andrew Mason

    User Avatar
    Science Advisor
    Homework Helper

    Why are you starting a new thread for this same problem? Stick to your https://www.physicsforums.com/showthread.php?t=134975" or you will have us even more confused than we normally are.

    Last edited by a moderator: Apr 22, 2017
  4. Oct 8, 2006 #3
    iunno ive never used this site before i dont know what to do
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook