Interactive Engineering Physics with Numerical Methods

Author:: JiaxiChen, Timo Budarz

This is an open-source, comprehensive engineering physics textbook for the first three semesters of a degree in engineering, physics or chemistry. An emphasis is placed on fundamental principles as well as numerical solutions to equations where no analytical solution exists.

Interactive Engineering Physics with Numerical Methods

Introduction
- Introduction
- Precision and Accuracy
- Units
- Estimating Error
- PROBLEMS
- Lab Exercise
Kinematics
- When Left Alone
- Position
- Velocity
- Acceleration
- PROBLEMS
- Lab Exercise
Dynamics
- Background
- Fundamental Interactions
- Contact Interactions
- Application of Newton's Second Law
- Motion on an Incline
- Friction on Moving Surfaces
- GeoGebra Exercise - Universal Gravitation
- PROBLEMS
- Lab Exercise - Slope and Friction of a Cart
Dynamics with Variable Forces
- Motivation
- Differential Equations of Motion
- Air Drag
- Free Fall with Drag
- Propulsion and Machines
- Vehicle Resistive Forces
- Fuel Economy
- Solving Differential Equations of Motion
- PROBLEMS
- Lab Exercise - Drag Coefficient Measurement
Harmonic Motion
- Elasticity
- Hooke's Law
- Simple Harmonic Motion
- The Simple Pendulum
- PROBLEMS
- Lab Exercise
Circular Motion
- Circular Motion Derivation
Effective Gravitation
- We Can't Feel Gravity
- Further Examples
Collisions
- Momentum
- Collisions
- PROBLEMS
Geometric Optics I
- Introduction
- Ray Tracing Basics
- Ray Tracing with Curved Mirrors
- Heiligenschein and Albedo
- Color
- PROBLEMS
- Lab Exercise
Geometric Optics II
- Refraction
- Snell's Law
- Critical Angle
- Polarization
- Dispersion and Rainbows
- Thin Lenses
- Human Eye
- Fermat's Principle
- PROBLEMS
- Lab Exercises - Thin Lenses, Brewster's Law
- Lab Exercise - Crossed Polarizers
Waves
- Waves
- PROBLEMS
Interference
- Wave Interference
- Thin Films
- Young's Double Slit Experiment
- Multiple Slits
- PROBLEMS
Diffraction
- Single Slit Diffraction
- Circular Apertures and Resolving Power
- Angular Resolution
- PROBLEMS
Music and Resonance
- Resonance
- Resonant Frequencies
- Resonance In Musical Instruments
- The Musical Scale
- Standing Waves and Resonance
- Doppler Effect
- PROBLEMS
- Lab Exercise
- String and Pipe Modes
Quantization and Waves
- Background
- The Field
- Quantization
- Blackbody Radiation
- Photoelectric Effect
- Light Quanta
- Is a Photon a Particle?
- What are Field Quanta?
- PROBLEMS
Quantizing Nature: A first Approach
- Phase, Waves and "Particles"
- Wave Nature of "Particles"
- Wilson-Sommerfeld Quantization Condition
- Wilson-Sommerfeld Application: 1D Electron Wave
- Wilson-Sommerfeld Application: Atomic Structure
- PROBLEMS
Quantum Mechanics
- Classical Wave Equation
- Schrödinger's Equation
- "Particle" in a 1D Box
- Quantum Tunneling
- PROBLEMS
Special Relativity
- The Postulates
- Some Definitions
- Time Dilation
- PROBLEMS
Heat Transfer
- Convection
- Conduction
- Thermal Radiation
- Evaporative Cooling
- The Effect of Scale
- PROBLEMS
Fundamental Physics
- Breaking it Down
- Nuclear Structure
- Binding Energy
- Radioactive Decay
- Decay Schemes
- PROBLEMS
Astrophysics and Cosmology
- Where are We?
- The Milky Way
- One
- Origins
Answers to Problems
- Answers
- Interference

Introduction

Interactive Engineering Physics with Numerical Methods

Table of Contents

Introduction

Kinematics

Dynamics

Dynamics with Variable Forces

Harmonic Motion

Circular Motion

Effective Gravitation

Collisions

Geometric Optics I

Geometric Optics II

Waves

Interference

Diffraction

Music and Resonance

Quantization and Waves

Quantizing Nature: A first Approach

Quantum Mechanics

Special Relativity

Heat Transfer

Fundamental Physics

Astrophysics and Cosmology

Answers to Problems

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