NTNUJAVA Virtual Physics Laboratory
Enjoy the fun of physics with simulations!
Backup site http://enjoy.phy.ntnu.edu.tw/ntnujava/
September 21, 2019, 10:50:12 pm *
Welcome, Guest. Please login or register.
Did you miss your activation email?

Login with username, password and session length
 
   Home   Help Search Login Register  
"Wisdom is the harmony, healthy and happiness in life." ...Wisdom
Google Bookmarks Yahoo My Web MSN Live Netscape Del.icio.us FURL Stumble Upon Delirious Ask FaceBook

Pages: [1]   Go Down
  Print  
Author Topic: Critical damping of spring  (Read 8601 times)
0 Members and 1 Guest are viewing this topic. Click to toggle author information(expand message area).
ahmedelshfie
Moderator
Hero Member
*****
Offline Offline

Posts: 954



«
Embed this message
on: April 26, 2010, 09:09:00 pm » posted from:,,Brazil

This applet about Critical damping of spring created by prof Hwang
Modified by Ahmed
Original project Critical damping of spring

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!


* Critical damping of spring.gif (18.01 KB, 869x524 - viewed 903 times.)
Logged
ahmedelshfie
Moderator
Hero Member
*****
Offline Offline

Posts: 954



«
Embed this message
Reply #1 on: April 27, 2010, 08:25:46 pm » posted from:,,Brazil

Image from  http://en.wikipedia.org/wiki/Damping


* Damped_spring.gif (206.61 KB, 110x359 - viewed 661 times.)
Logged
Pages: [1]   Go Up
  Print  
"Wisdom is the harmony, healthy and happiness in life." ...Wisdom
 
Jump to:  


Related Topics
Subject Started by Replies Views Last post
Pendulum with damping
Dynamics
Fu-Kwun Hwang 0 15288 Last post June 25, 2008, 01:10:08 pm
by Fu-Kwun Hwang
Critical damping of spring
Dynamics
Fu-Kwun Hwang 0 17931 Last post April 12, 2009, 04:41:25 pm
by Fu-Kwun Hwang
vertical spring in equilibrium (adjustable gravity,spring constant and mass)
Dynamics
Fu-Kwun Hwang 3 11324 Last post May 17, 2019, 03:05:19 pm
by angelinajolie
Similarity between RLC circuit and spring with damping
Electromagnetism
Fu-Kwun Hwang 0 21072 Last post October 11, 2009, 05:20:56 pm
by Fu-Kwun Hwang
Similarity between RLC circuit and spring with damping
electromagnetism
ahmedelshfie 7 7595 Last post April 19, 2010, 12:00:27 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 0.061 seconds with 25 queries.since 2011/06/15