### Author Topic: Lesson 1: simple harmonic motion in 1D  (Read 34069 times)

#### Fu-Kwun Hwang

• Hero Member
• Posts: 3062
##### Lesson 1: simple harmonic motion in 1D
« on: March 16, 2009, 12:21:07 pm »
This is a tutorial for simple harmonic motion(SHM) in 1D.
The equation for the SHM is Fx=-k*x;
EJS did not know how to solve the above equation. But it can solve first order differential equation.
The above is a particle move in x direction with velocity v, and it's velocity will change with time due to the above force (give acceleration ax).
So
d(vx)/dt= -k*x/m; // this equation tell EJS how the velocity should change with time.

dx/dt=vx; // this equation tell EJS how the x-coordinate change with time.

Movie is a snap shot of image at different time step. Simulation calculate the variable value at different time step and show it on the screen with GUI elements.
With the above two equations: EJS know how x/vx will change with time. So it will update it's new value and draw view elements according to your design.

The following is the simulation and the swf movie. Please download EJS xml source and modify the model to change it into a 2D SHM motion.

Hints: Change the resizable property for the arrow so that you can change it's size with your mouse when the simulation is in pause state.

Tutorial SWF file
http://www.phy.ntnu.edu.tw/ntnujava/swf/shmx.swf

Full screen applet or Problem viewing java?Add http://www.phy.ntnu.edu.tw/ to exception site list
• 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!

#### rubizoobi

• Newbie
• Posts: 1
##### Re: Lesson 1: simple harmonic motion in 1D
« Reply #1 on: February 17, 2010, 03:32:43 pm »
I just saw the Tutorial and it was very informative,
so if you have some more tutorials than please
share it with us so that we can also get to know
« Last Edit: February 17, 2010, 03:34:28 pm by rubizoobi »

#### Fu-Kwun Hwang

• Hero Member
• Posts: 3062
##### Re: Lesson 1: simple harmonic motion in 1D
« Reply #2 on: February 17, 2010, 04:07:56 pm »
Please check out EJS tutorial (How to create simulation with EJS) to find other tutorials.

There are many swf tutorials in Chinese can be found at http://www.phy.ntnu.edu.tw/ntnujava/index.php?topic=656.0

It is fine if you do not understand Chinese characters, but you can get the ideals how it works.

If you are really interested in EJS, try to use it. And you are welcomed to post any questions related to it.
Post what you want to do and attach the xml file. And I will try to help you solve it (create the simulation you want).

#### corartum

• Newbie
• Posts: 1
##### Re: Lesson 1: simple harmonic motion in 1D
« Reply #3 on: January 12, 2012, 03:46:31 am »
Well explained tutorial. I've been looking for this for a while. Thanks.

#### aminbahgat

• Newbie
• Posts: 1
##### Re: Lesson 1: simple harmonic motion in 1D
« Reply #4 on: October 04, 2015, 12:52:17 am »
i new member here thanks for the lesson