Briefing Doc: Open Educational Resources for Simple Harmonic Motion

This briefing doc reviews the key information from the Open Educational Resources / Open Source Physics @ Singapore website, specifically regarding the interactive e-book on Simple Harmonic Motion (SHM).

Main Themes:

• Interactive Learning: The e-book utilizes Easy JavaScript Simulations (EJS) to provide an interactive learning experience for students, moving beyond static illustrations. This approach promotes student engagement and understanding of SHM concepts.
• Accessibility: The e-book is designed to function on both Android and iOS platforms, maximizing its reach and accessibility for students with diverse devices.
• Open Source & Collaboration: The content is licensed under Creative Commons Attribution ShareALike (CC-BY-SA) fostering sharing and adaptation. The use of Open Source Physics and EJS emphasizes collaboration and community development in educational resources.

Most Important Ideas/Facts:

• Target Audience: The e-book is tailored for Junior College students studying Oscillations in Advanced Level Physics (GCE 9646 H2 PHYSICS).
• Content Origin: The material is derived from lecture notes at Yishun Junior College, Singapore, ensuring alignment with existing curriculum.
• Key Features:Interactive simulations for hands-on exploration of SHM.
• Animated pictures and static photos to enhance visualization.
• Links to YouTube videos for supplementary learning.
• Features like highlighting text, note-taking, and glossary for an enriched reading experience.
• Optimal Usage:Android: PlayBook download with simulations launched in full-screen Chrome browser.
• Apple: iBook download for iPad usage, with simulations running within the iBook app.

Quotes:

• "No longer limited to static pictures to illustrate the text, now students can play and conduct mathematical modelling pedagogy developed by the Author using the Open Source Physics/Easy JavaScript Simulations."
• "The content are licensed Creative Commons Attribution ShareALike CC-BY-SA, and the Open Source Physics/Easy JavaScript Simulations are licensed Creative Commons Attribution ShareALike Noncommercial CC-BY-SA-NC."

Overall:

This e-book represents a significant step forward in physics education by leveraging interactive technology to create a dynamic and engaging learning experience. It embodies the values of open-source collaboration and accessibility, providing a valuable resource for students and educators alike.

 

Simple Harmonic Motion (SHM) Study Guide

Short Answer Questions

1. What is Simple Harmonic Motion (SHM)? Describe its key characteristics.
2. Explain the relationship between circular motion and SHM. How can one be used to represent the other?
3. Define the terms "displacement," "amplitude," and "period" in the context of SHM.
4. What are the different types of energy involved in SHM? How do they change throughout an oscillation?
5. What is damping in SHM? Describe its impact on the system.
6. Differentiate between underdamping, critical damping, and overdamping.
7. What is resonance? Explain its significance in SHM.
8. Provide a real-world example of a system exhibiting SHM. Explain why it qualifies as SHM.
9. Describe how the spring constant affects the behavior of a mass-spring system undergoing SHM.
10. How is the period of a simple pendulum related to its length and the acceleration due to gravity?

Short Answer Key

1. Simple Harmonic Motion (SHM) is a periodic motion where the restoring force is directly proportional to the displacement from equilibrium and acts in the opposite direction. Key characteristics include periodicity, a restoring force towards equilibrium, and a sinusoidal displacement-time graph.
2. SHM can be visualized as the projection of uniform circular motion onto a diameter. The motion of a point on the circumference of a circle, when viewed along a diameter, represents SHM. The radius of the circle corresponds to the amplitude of the SHM.
3. Displacement is the distance from the equilibrium position. Amplitude is the maximum displacement from equilibrium. Period is the time taken for one complete oscillation.
4. SHM involves potential energy (PE) and kinetic energy (KE). At maximum displacement, PE is maximum and KE is zero. At equilibrium, KE is maximum and PE is zero. Total mechanical energy remains constant in an ideal SHM.
5. Damping is the gradual loss of energy from an oscillating system due to resistive forces like friction. It causes a decrease in amplitude over time, eventually leading to the oscillations dying out.
6. Underdamping: Oscillations gradually decrease in amplitude. Critical damping: The system returns to equilibrium in the shortest time without oscillating. Overdamping: System returns to equilibrium slowly without oscillating.
7. Resonance occurs when a system is forced to oscillate at its natural frequency. This results in maximum energy transfer to the system, causing a dramatic increase in amplitude. It can be both beneficial (e.g., musical instruments) and destructive (e.g., bridge collapse).
8. A mass attached to a spring exhibits SHM. When displaced from its equilibrium, the spring exerts a restoring force proportional to the displacement, pulling the mass back towards equilibrium. This causes the mass to oscillate back and forth with a defined period.
9. A higher spring constant (k) means the spring is stiffer. This leads to a larger restoring force for a given displacement, resulting in a faster oscillation and a shorter period.
10. The period (T) of a simple pendulum is directly proportional to the square root of its length (L) and inversely proportional to the square root of the acceleration due to gravity (g). The formula is: T = 2π√(L/g).

Essay Questions

1. Discuss the derivation of the equations of motion for a simple harmonic oscillator. Explain the significance of each term in the equation and how they relate to the physical properties of the system.
2. Analyze the energy transformations that occur during one complete cycle of SHM. Explain how the concepts of conservation of energy and work-energy theorem apply to SHM.
3. Compare and contrast the behavior of a damped harmonic oscillator with that of an undamped oscillator. Use graphs and equations to illustrate the differences and explain the physical reasons behind them.
4. Explain the phenomenon of resonance in detail. Discuss its implications in various physical systems, providing both beneficial and destructive examples.
5. Explore different real-world applications of SHM. Choose at least three examples from different fields and discuss how the principles of SHM are utilized in each case.

Glossary of Key Terms

• Simple Harmonic Motion (SHM): Periodic motion where the restoring force is directly proportional to the displacement from equilibrium and acts in the opposite direction.
• Restoring Force: Force that acts to return a system to its equilibrium position.
• Displacement: Distance from the equilibrium position.
• Amplitude: Maximum displacement from equilibrium.
• Period (T): Time taken for one complete oscillation.
• Frequency (f): Number of oscillations per unit time (f=1/T).
• Angular Frequency (ω): Rate of change of angular displacement (ω=2πf).
• Phase: Specifies the position and direction of motion within a cycle.
• Potential Energy (PE): Energy stored by virtue of position or configuration.
• Kinetic Energy (KE): Energy possessed due to motion.
• Damping: Gradual loss of energy from an oscillating system due to resistive forces like friction.
• Underdamped Oscillation: System oscillates with decreasing amplitude.
• Critically Damped Oscillation: System returns to equilibrium in the shortest time without oscillating.
• Overdamped Oscillation: System returns to equilibrium slowly without oscillating.
• Resonance: Occurs when a system is forced to oscillate at its natural frequency, resulting in maximum energy transfer and increased amplitude.
• Natural Frequency: The frequency at which a system oscillates freely when disturbed.
• Spring Constant (k): Measure of a spring's stiffness; force required to stretch or compress the spring by a unit length.
• Simple Pendulum: A mass (bob) suspended from a fixed point by a light, inextensible string, undergoing SHM for small angles of displacement.
• Acceleration due to Gravity (g): Acceleration experienced by an object due to Earth's gravitational pull.

 

 

Latest Mirror 

• 20170720shm.epub updated with better controls, dropdown menu starting
• 20170112shm.epub updated with sound, radial SVG graphics
• 20161104shm.epub latest with enhancement from Professor Felix
• 20160812shm.epub improved labels for axes, remove to be single spring system, resonance with single system after YJC feedback
• 20160711shm.epub improved margin of x axis for right plots after YJC feedback
• 20160526shm.epub improved with better user interface, dropdown menu, fix bug for shm24, shm045

(browse)

, Download e-Book Gbook (not so latest, takes a day to upload) version, iBook (not updated frequently as it requires US store acccount) version.

For Teachers

Best Android Experience: PlayBook download with links to simulation launch in Chrome browser full screen.

Best Apple Experience: iBook download with iPads, simulations launch out or in ibook itself.

To submit to Google, use this link https://play.google.com/books/publish/u/0/a/481254498767217628#list/status%3Alive_on_google_play

To submit to Apple, use the iTune Producer App on iMac

,    

Title: Oscillators Advanced Level Physics GCE (Easy JavaScript Simulation) 2/2: 20160125 version

Subtitle: Customized to Advanced Level Physics 9646 H2 PHYSICS

Author: Loo Kang Lawrence Wee

About

This interactive Oscillators Advanced Level Physics chapter textbook works on both Android and iOS, offering a gorgeous, full-screen experience full of interactive simulations, animated pictures and static photos, and links to videos on Youtube. No longer limited to static pictures to illustrate the text, now students can play and conduct mathematical modelling pedagogy developed by the Author using the Open Source Physics/Easy JavaScript Simulations. They can flip through a book by simply sliding a finger along the bottom of the screen. Highlighting text, taking notes, searching for content, and finding definitions in the glossary are just as easy. And with all their books on a single device, students will have no problem carrying them wherever they go.

The content are originally based on lectures notes from Yishun Junior College, Singapore.

photo from Leong Tze Kwang.

The content are licensed Creative Commons Attribution ShareALike CC-BY-SA, and the Open Source Physics/Easy JavaScript Simulations are licensed Creative Commons Attribution ShareALike Noncommercial CC-BY-SA-NC.

If you are having problem getting this interactive textbook, try this link https://sg.iwant2study.org/ospsg/index.php/interactive-resources/physics/02-newtonian-mechanics/09-oscillations/154-epub3-shm

 

For Teachers

Best Android Experience: PlayBook download with links to simulation launch in Chrome browser full screen.

Best Apple Experience: iBook download with iPads, simulations launch out or in ibook itself.

To submit to Google, use this link https://play.google.com/books/publish/u/0/a/481254498767217628#list/status%3Alive_on_google_play

To submit to Apple, use the iTune Producer App on iMac

 Video

 Demonstration of epub3 interactive textbook created using Easy Java Simulation

Software Requirements

epub3 reader such as

Google Play Store Android Gitden Reader App,

Apple iBook, 

ChromeWeb Extension Readium for computer

Credits

Francisco Esquembre, author of Easy JavaScript Simulation Authoring Tool, an Open Source Physics project.

Loo Kang WEE Lawrence is currently educational technology specialist II at the Ministry of Education, Singapore. His open source physics contribution garner awards including UNESCO King Hamad Bin Isa Al-Khalifa Prize for the Use of ICTs in Education 2015, Singapore Public Service PS21 Distinguished Star Service Award 2014 and Best Ideator 2012, Ministry of Education, Singapore, Best Innovator Award 2013 and Excellence Service Award 2012.

Leong Tze Kwang photographer for the cover page of chapter.

Simple Harmonic Motion (SHM) e-Book FAQ

What is the SHM e-Book?

The SHM e-Book is an interactive textbook covering the topic of Oscillators for Advanced Level Physics. It offers a comprehensive learning experience with interactive simulations, animations, static images, and links to relevant YouTube videos.

On what devices can I use the SHM e-Book?

The e-Book is designed to work on both Android and iOS devices. It provides a full-screen experience and is optimized for tablets like iPads.

What software do I need to read the e-Book?

You will need an epub3 reader to access the e-Book. Some recommended options include:

• Android: Gitden Reader App (available on Google Play Store)
• iOS: iBooks
• Computer: Readium Chrome Web Extension

What are the recommended ways to use the e-Book on different platforms?

• Android: Download the PlayBook version and launch simulations in full-screen mode using the Chrome browser.
• Apple: Download the iBook version and use it on an iPad. Simulations can be launched either within iBooks or externally.

Can I embed the simulations from the e-Book into a webpage?

Yes, you can embed the simulations into a webpage using an iframe element. The specific code to use is provided on the e-Book's webpage.

What is the licensing of the content in the e-Book?

The content is licensed under Creative Commons Attribution ShareALike CC-BY-SA. The Open Source Physics/Easy JavaScript Simulations used in the e-Book are licensed under Creative Commons Attribution ShareALike Noncommercial CC-BY-SA-NC.

Who are the creators of the e-Book?

The e-Book was created by:

• Author: Loo Kang Lawrence Wee
• Photographer: Leong Tze Kwang
• Software: Francisco Esquembre (Easy JavaScript Simulation Authoring Tool)

Where can I find more information or get help with the e-Book?

You can visit the e-Book's webpage on the Open Educational Resources / Open Source Physics @ Singapore website or use the provided contact information for support.