SHM and Waves

2020 School Closure Calendar

Syllabus, Handouts and Lectures for this unit: Calendar | Handouts | Lectures

Solution Page for SHM worksheet: SHM (old)

Video Solutions for the simple Harmonic Motion worksheet: SHM Worksheet

Video Solutions: Polarization and Rayleigh Criterion (P12NP)

Labs: Resonant Systems Lab .:. Waves Lab .:. Speed of Sound

Pandemic Labs: Waves Lab .:. Interference Lab .:. Standing Waves Lab .:. Diffraction Lab

IB Problems: IB Resonant Systems .:. IB SHM .:. IB Waves

SHM Assessments: 11.0 SHM Graphs .:. 11.1 - Simple Harmonic Motion .:. 11.2 Resonant Systems

Waves Assessments: 12.0 Basic Waves .:. 12.1 - Standing Waves .:. 12.2 - Doppler and Interference .:.

12.2A Diffraction Gratings .:. 12.3 - Refraction

Skip to Waves

Chapter 11- Simple Harmonic Motion and Resonance

11A. Solve kinematic problems involving simple harmonic motion.

Noteguide11A-SHMKinematics.docx

Video of Simple Harmonic Motion: (Don't watch too long....)

Basic Concepts and Formulas in SHM:

Solving SHM Kinematics:

Whiteboards:

SHMKinematics Example 1

SHMKinematics Example 2

SHMKinematics Example 3

SHMKinematics Example 4

SHMKinematics Example 5

SHMKinematics Example 6

SHMKinematics Example 7

SHMKinematics Example 8

SHMKinematics Example 9

11A2. Interpret graphs of Simple Harmonic Motion to infer position, velocity and acceleration.

Noteguide11A2-SHMGraphs

Interpreting SHM Graphs:

Part 2

Part 3

Part 4

XC Skiing

11B. Solve energy problems involving simple harmonic motion.

Noteguide11B-SHMEnergy.docx

Solving SHM Energy:

Whiteboards:

11C. Solve problems with simple pendulums

Noteguide11C-Pendulums.docx (Pandemic)

Simple Pendulums

Whiteboards:

Simple Pendulums Example #1

Simple Pendulums Example #2

Simple Pendulums Example #3

11D. Understand the concept of resonance.

Noteguide11D-Resonance.docx

Basic concept of resonance:

2. Demo Video

Chapter 12 - Sound and Standing Waves

12A. Basic calculations with waves: v = f x lambda

Noteguide12A-FrequencyWavelengthVelocity.docx

Frequency, Wavelength, Velocity:

Whiteboards:

Basic Wave Formulas Example 1

Basic Wave Formulas Example 2

Basic Wave Formulas Example 3

Basic Wave Formulas Example 4

Basic Wave Formulas Example 5

Basic Wave Formulas Example 6

12B. Understand the types of waves

Noteguide12BC-TypesReflections.docx

Types of waves:

12C. Understand reflections and energy transport with waves

Noteguide12BC-TypesReflections.docx

Reflections:

PIPELINEFUNK - A guy riffs with his own echo from the other end of a long section of pipe. The other end is either closed off, or open, either would cause the echo we hear.

You can actually calculate the length of the pipe from the time between beats as he riffs.

12C1. Understand the inverse square law.

Concept Zero - The Definition of Intensity:

Whiteboards

Whiteboard #1

Whiteboard #2

Whiteboard #3

Concept One - The Inverse Square Law:

Whiteboards:

12D. Understand the principle of superposition

Noteguide12DE-SuperpositionInterference.docx

Principle of superposition:

12D1. Understand the relationship between amplitude and Intensity.

Amplitude and Intensity:

Whiteboards:

Whiteboard #1

Whiteboard #2

Whiteboard #3

12E. Understand how to calculate types of interference

Noteguide12DE-SuperpositionInterference.docx

Interference:

Part 2 - The IB question:

Whiteboards:

Interference Whiteboard #1

Interference Whiteboard #2

Interference Whiteboard #3

12F1. Solve Young's Double Slit Problems

Noteguide12F1-DoubleSlit.docx

F1: Young's Double slit problems:

Example 1

Example 2

Whiteboards:

Double Slit Whiteboard #1

Double Slit Whiteboard IB test question

12F2. Solve single slit diffraction problems

Noteguide12F2-SingleSlit.docx

F2: Single slit patterns:

Example

Whiteboards:

Single Slit Whiteboard #1

Single Slit Whiteboard #2

12F3. Solve problems with diffraction gratings.

Noteguide12F3-DiffractionGratings.docx

F3: Diffraction Gratings:

Example 1

Example 2

Whiteboards:

Grating Whiteboard #1

Grating Whiteboard #2

12G. Solve problems with standing waves.

Demonstrations of Standing Waves: - Part 1

Noteguide12FG1-StandingWaves.docx

Both Ends Fixed:

Another example of both ends fixed:

Flame Pipe Demos:

Me Singing

Some Music Playing

Both ends Free:

One End Fixed:

What standing waves are, and why they happen:

Calculations with standing waves:

Whiteboards:

Standing Wave Calculations Example 1

Standing Wave Calculations Example 2

Standing Wave Calculations Example 3

Standing Wave Calculations Example 4

Extra:

Standing Wave Calculations Example 5

Standing Wave Calculations Example 6

NoteGuide12G2-StandingWaves.docx

Calculations of first three modes: Part 2

Standing Waves with both ends fixed:

Standing Waves with both ends free:

Standing Waves with one end fixed:

Whiteboards:

Advanced Standing Waves Example 1

Advanced Standing Waves Example 2

Advanced Standing Waves Example 3

Advanced Standing Waves Example 4

In general - the symmetric modes (both ends free, both ends fixed) have harmonics that go 1Fo, 2Fo, 3Fo, 4Fo, 5Fo, ... and the asymmetric standing waves (one end free, one end fixed) go 1F0, 3Fo, 5Fo, 7Fo, 9Fo, ... so they only resonate at odd multiples of the fundamental frequency.

12H. Solve Problems with the Doppler Effect:

Noteguide12H-DopplerEffect.docx

Example of Doppler Effect - Car Horn: