NTNUJAVA Virtual Physics Laboratory
Enjoy the fun of physics with simulations!
Backup site http://enjoy.phy.ntnu.edu.tw/ntnujava/
September 19, 2019, 03:28:17 am *
Welcome, Guest. Please login or register.
Did you miss your activation email?

Login with username, password and session length
   Home   Help Search Login Register  
Everything has its beauty but not every one sees it. ...Confucius (551-479 BC)
Google Bookmarks Yahoo My Web MSN Live Netscape Del.icio.us FURL Stumble Upon Delirious Ask FaceBook

Pages: [1]   Go Down
Author Topic: Critical damping of spring  (Read 17927 times)
0 Members and 1 Guest are viewing this topic. Click to toggle author information(expand message area).
Fu-Kwun Hwang
Hero Member
Offline Offline

Posts: 3082

Embed this message
on: April 12, 2009, 04:41:25 pm » posted from:Taipei,T\'ai-pei,Taiwan

For a spring with spring constant k, attached mass m, displacement x.
The equation of motion is F=m d2x/dt2= -k*x;
The nature frequence w0=sqrt(k/m);
If damping is introduced with a form of -b*v;
The equation become m d2x/dt2+ c dx/dt + k x =0;
The behavior of the system depends on the relative values of the two fundamental parameters, the natural frequency ω0 and the damping ratio ζ=c/ (2*sqrt(m*k));

When ζ = 1, the system is said to be critically damped.
When ζ > 1, the system is said to be over-damped.
when 0 ≤ ζ < 1,the system is under-damped.

The following simulation let you play with different parameters to view the differece between those 3 modes:
Initially, the system is set up at under-damped condition.
Drag the blue ball to the spring, you will find how under-damped look like.
Click b=b_critical to set it to critically damped condition, then click play to view the behavior.
When it is paused again, drag b to larger value to find out how over-damped look likes.

Embed a running copy of this simulation

Embed a running copy link(show simulation in a popuped window)
Full screen applet or Problem viewing java?Add http://www.phy.ntnu.edu.tw/ to exception site list
Press the Alt key and the left mouse button to drag the applet off the browser and onto the desktop. This work is licensed under a Creative Commons Attribution 2.5 Taiwan License
  • Please feel free to post your ideas about how to use the simulation for better teaching and learning.
  • Post questions to be asked to help students to think, to explore.
  • Upload worksheets as attached files to share with more users.
Let's work together. We can help more users understand physics conceptually and enjoy the fun of learning physics!

* smf_springdamping.jpg (7.97 KB, 425x406 - viewed 756 times.)
Pages: [1]   Go Up
Everything has its beauty but not every one sees it. ...Confucius (551-479 BC)
Jump to:  

Related Topics
Subject Started by Replies Views Last post
Pendulum with damping
Fu-Kwun Hwang 0 15287 Last post June 25, 2008, 01:10:08 pm
by Fu-Kwun Hwang
Similarity between RLC circuit and spring with damping
Fu-Kwun Hwang 0 21056 Last post October 11, 2009, 05:20:56 pm
by Fu-Kwun Hwang
Similarity between RLC circuit and spring with damping
ahmedelshfie 7 7594 Last post April 19, 2010, 12:00:27 am
by Fu-Kwun Hwang
Critical damping of spring
ahmedelshfie 1 8597 Last post April 27, 2010, 08:25:46 pm
by ahmedelshfie
Pendulum sets with different initial angle plus damping
Fu-Kwun Hwang 5 11246 Last post December 17, 2010, 11:49:42 am
by Fu-Kwun Hwang
Powered by MySQL Powered by PHP Powered by SMF 1.1.13 | SMF © 2006-2011, Simple Machines LLC Valid XHTML 1.0! Valid CSS!
Page created in 0.05 seconds with 22 queries.since 2011/06/15