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9.1. Simple Harmonic Motion

This chapter follows on from the core waves material looked at in Chapter 4. We begin by looking at simple harmonic motion - which was initially introduced in section 4.1. Here we go into a bit more of the mathematical ideas behind simple harmonic motion. This requires a bit of understanding about graphical representations of trigonometric functions (and ideally how to differentiate them). 
Before we get started, I wanted to highlight some of the similarities between SHM and circular motion (Section 6.1). Both a pendulum and a roundabout have an associated frequency of oscillation/ rotation. There are a number of further similarities that are nicely highlighted in this video below:

The section has been divided up as follows:

 

Simple Harmonic Motion Equations

We pick up where we left off in section 4.1 - but now we come to bring in a bit of the mathematics involved in SHM. Before we begin, make sure you are confident sketching sine and cosine graphs, as these are important here.

SHMgraph.png

Video Lessons

Resources

Questions

Cambridge University Press
Topic 9: Add Qs
Topic 9: Add Qs MS
Topic 9: MCQs
CUP Website Link
Freely available online
Dr French's Eclecticon
Simple Harmonic Motion
Simple Harmonic Motion Solutions
Link to Dr French's Site
Extension: Pre-University Material
Grade Gorilla
9.1 (SHM) MCQ
Topic 9 (Waves) End Quiz
Quick IB Specific Mixed MCQs
Isaac Physics
Oscillators
Mr. G
9.1 Formative Assessment
Topic 9 Summary Qs
IB Specific Questions
Physics and Maths Tutor
MCQ Periodic Motion 1 (AQA 2)
MCQ Periodic Motion 1 MS (AQA 2)
MCQ Periodic Motion 2 (AQA 2)
MCQ Periodic Motion 2 MS (AQA 2)
A-Level Qs: overlapping content
Physics and Maths Tutor
MCQ Periodic Motion 3 (AQA 2)
MCQ Periodic Motion 3 MS (AQA 2)
x
A-Level Qs: overlapping content
Physics and Maths Tutor
SHM (AQA 1)
SHM MS (AQA 1)
SHM (AQA 2)
SHM MS (AQA 2)
A-Level Qs: overlapping content
Physics and Maths Tutor
Oscillations (Edexcel 1)
Oscillations MS (Edexcel 1)
Oscillations (Edexcel 2)
Oscillations MS (Edexcel 2)
A-Level Qs: overlapping content
 

Pendulum and Mass Spring Systems

There are plenty of examples of systems that obey simple harmonic motion, but by far the two most commonly studied are the pendulum and the mass-spring system.

Video Lessons

Resources

Questions

Cambridge University Press
Topic 9: Add Qs
Topic 9: Add Qs MS
Topic 9: MCQs
CUP Website Link
Freely available online
Dr French's Eclecticon
Simple Harmonic Motion
Simple Harmonic Motion Solutions
Link to Dr French's Site
Extension: Pre-University Material
Grade Gorilla
9.1 (SHM) MCQ
Topic 9 (Waves) End Quiz
Quick IB Specific Mixed MCQs
Mr. G
9.1 Formative Assessment
Topic 9 Summary Qs
IB Specific Questions
Physics and Maths Tutor
Pendulum/ Mass Spring (AQA 2)
Pendulum/ Mass Spring MS (AQA 2)
A-Level Qs: overlapping content
 

Energy Changes in Simple Harmonic Motion

Video Lessons

Chris Doner
Energy in SHM
IB Specific
Study Nova
Energy in SHM (Lecture)

Resources

Questions

Cambridge University Press
Topic 9: Add Qs
Topic 9: Add Qs MS
Topic 9: MCQs
CUP Website Link
Freely available online
Dr French's Eclecticon
Simple Harmonic Motion
Simple Harmonic Motion Solutions
Link to Dr French's Site
Extension: Pre-University Material
Grade Gorilla
9.1 (SHM) MCQ
Topic 9 (Waves) End Quiz
Quick IB Specific Mixed MCQs
Mr. G
9.1 Formative Assessment
Topic 9 Summary Qs
IB Specific Questions
 

Additional Resources

IB Questions

A question by question breakdown of the IB papers by year is shown below to allow you to filter questions by topic. Hopefully you have access to many of these papers through your school system. If available, there may be some links to online sources of questions, though please be patient if the links are broken! (DrR: If you do find some broken links, please contact me through the site)

 

Questions on this topic (Section 9) are shown in royal blue.

Use this grid to practice past IB questions topic by topic. You can see from the colours how similar the question topic breakdown is year by year. The more you can familiarise yourself with the IB question style the better - eventually you will come to spot those tricks and types of questions that reappear each year.