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!

First and Second Order Systems - Classical Analysis

  1. Jan 29, 2013 #1
    This was a lecture example and it has confused me. Can someone please help explain it?

    If we have the following fist order system:

    τ.dx/dy+y(t)=x(t) where τ=c/k where "k" is the spring stiffness and "c" the linear damper coefficient and τ is a time constant.

    For the unforced case x(t)=0, we need to write down an expression for the response when the initial condition is y(0)=y0. ANd how do we sketch the repsonse?
  2. jcsd
  3. Feb 18, 2013 #2
    I have to clarify something before giving any advisement.

    Are you sure the differential equation is what you have provided or is it:

    τ.dy/dt + y(t) = x(t)

    The reason I ask is the above equation represents a first order spring-damper system where τ = (dampening coefficient/spring stiffness), as you stated.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook