Chapter 15 Wave motion VgW4Knb5s&feature=PlayList&p=77775DAE3511828 5&index=18.

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Presentation transcript:

Chapter 15 Wave motion VgW4Knb5s&feature=PlayList&p=77775DAE &index=18

Introduction Our approach Build upon understanding of oscillation Consider succinctly wave motion Look at energy transfer by waves Look at both the mathematical representation of waves and the wave equation

Introduction (cont’d.) Focus on wave phenomena, including –Superposition –Reflection and transmission –Interference –Wave packets –Standing waves & Resonance –Refraction & Diffraction With more phenomena to follow through the rest of the term

Characteristics of wave motion Connection between waves & oscillations –What are the connections? Focus on periodic waves –Why? Characteristics of periodic waves –Question: What are they?

Types of Waves Transverse –Definition –Speed Longitudinal –Definition –Speed Waves neither purely the above Examples

Energy Transported by Waves Derivation –Diagram –Assumptions (E, ω, m) –Result Intensity –Definition –Examples

Mathematical Representation of a Traveling Wave Displacement formula –Terms in the formula –Meaning of the terms and formula –Graphical representation in x and t –Exercise (Physlet E17.2) A solution to the wave equation –The wave equation –What does it mean to have a solution

Principle of Superposition Definition –Examples (Physlets I17.3, I17.4, E17.1) – sition.htmlhttp:// sition.html Fourier analysis & synthesis Examples urierSeries/FourierFFT/Series.html urierSeries/FourierFFT/Series.html

Reflection & Transmission Occurrence in general Boundary condition framework Demonstration (wave machine) The case of light and heavy cords In two dimensions

Interference Constructive & Destructive More later with sound and light

Wave packets Description –Dispersion and other phenomena Group and phase velocity Examples

Standing Waves Formation of standing waves on.html on.html –Nodes and anti-nodes –Boundary conditions –Examples (Physlets I17.4) Demonstration (wave machine)

Resonance Natural (resonant) frequencies Example: Waves on string (Physlet I17.5) Pictorial representation Language: fundamental, overtones, harmonics Lab: Determine the harmonics excited in the class demonstration

Refraction & Diffraction Definitions of each Refraction examples –ocean waves – – Diffraction examples More later

the end