NTNUJAVA Virtual Physics Laboratory
Enjoy the fun of physics with simulations!
Backup site http://enjoy.phy.ntnu.edu.tw/ntnujava/
October 24, 2019, 04:38:12 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  
The softest thing overcomes the hardest thing in the universe. ...Lao Tzu (570-490 BC)
Google Bookmarks Yahoo My Web MSN Live Netscape Del.icio.us FURL Stumble Upon Delirious Ask FaceBook

Pages: [1]   Go Down
  Print  
Author Topic: Simple Harmonic Motion (SHM)  (Read 5768 times)
0 Members and 1 Guest are viewing this topic. Click to toggle author information(expand message area).
Fu-Kwun Hwang
Administrator
Hero Member
*****
Offline Offline

Posts: 3083



WWW
«
Embed this message
on: January 30, 2012, 09:20:58 am »

This is a simulation for simple harmonic motion:
F=m \frac{dv}{dt}=-k*x;

For the purpose numerical calculation, the above second order differential equation is transformer into two equations (first order differential equation):
\frac{dx}{dt}=v_x // use this equation to calculate x(t+dt) from x(t) and v_x(t)
\frac{dv_x}{dt}=-k*x/m // use this equation to calculate v_x(t+dt) from v_x(t) and x(t), k, m

With two initial conditions: x(0) and v_x(0), the rest of x(t) and v_x(t) can be calculated.
  

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!


* example_shm.jpg (12.19 KB, 550x499 - viewed 421 times.)
Logged
Pages: [1]   Go Up
  Print  
The softest thing overcomes the hardest thing in the universe. ...Lao Tzu (570-490 BC)
 
Jump to:  


Related Topics
Subject Started by Replies Views Last post
Simple Harmonic Motion and Uniform Circular Motion « 1 2 »
kinematics
Fu-Kwun Hwang 44 518389 Last post December 26, 2012, 07:25:11 am
by Fu-Kwun Hwang
relations between simple harmonic motion and circular motion
Kinematics
Fu-Kwun Hwang 2 38784 Last post April 15, 2016, 11:21:50 pm
by lookang
relations between simple harmonic motion and circular motion
kinematics
ahmedelshfie 2 12511 Last post September 27, 2010, 05:40:33 pm
by ahmedelshfie
relation between Circular motion and Simple Harmonic Motion (SHM)
Dynamics
Fu-Kwun Hwang 0 8140 Last post February 27, 2011, 10:02:24 am
by Fu-Kwun Hwang
relation between Circular motion and Simple Harmonic Motion (SHM)
dynamics
ahmedelshfie 0 11627 Last post May 20, 2011, 11:31:09 pm
by ahmedelshfie
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 1.051 seconds with 23 queries.since 2011/06/15