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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:

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SHM Equations

#### 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.

## Video Lessons

 Chris Doner Motion in SHM IB Specific Khan Academy Simple Harmonic Motion Equations Science Shorts SHM Introduction Study Nova SHM Intro (Lecture) SHM Equations (Lecture)

## Resources

 IB Physics Topic 9 Notes IB-Physics.net Chapter 9 Summary IB Revision Notes Isaac Physics SHM Equations Mr. G 9.1 Teaching Notes 9.1 Student Notes Physics and Maths Tutor Further Mechanics Definitions Further Mechanics Key Points Further Mechanics Detailed Notes Further Mechanics Flashcards A Level Resources - content slightly different

## 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 SHM (AQA 1) SHM MS (AQA 1) SHM (AQA 2) SHM 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 Oscillations (Edexcel 1) Oscillations MS (Edexcel 1) Oscillations (Edexcel 2) Oscillations MS (Edexcel 2) A-Level Qs: overlapping content 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
Pendulum and Mass Spring

#### 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

 Khan Academy Pendulums Vertical Springs (Extension) Science Shorts Pendulum and Spring SHM

## Resources

 IB Physics Topic 9 Notes IB-Physics.net Chapter 9 Summary IB Revision Notes Mr. G 9.1 Teaching Notes 9.1 Student Notes Physics and Maths Tutor Further Mechanics Definitions Further Mechanics Key Points Further Mechanics Detailed Notes Further Mechanics Flashcards A Level Resources - content slightly different

## 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 in SHM

## Video Lessons

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

## Resources

 IB Physics Topic 9 Notes IB-Physics.net Chapter 9 Summary IB Revision Notes Isaac Physics Energy in SHM Mr. G 9.1 Teaching Notes 9.1 Student Notes Physics and Maths Tutor Further Mechanics Definitions Further Mechanics Key Points Further Mechanics Detailed Notes Further Mechanics Flashcards A Level Resources - content slightly different

## 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