Interactive Engineering Physics with Numerical Methods

Author: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
- Stress and Strain
- Simple Harmonic Motion
- The Simple Pendulum
- Phase Space
- PROBLEMS
- Lab Exercise
Circular Motion
- Introduction to Circular Motion
- Circular Motion Derivation
- Circular Orbits
- Some Examples
- Banked Track with Friction
- PROBLEMS
- Laboratory Exercise
Effective Gravitation
- We Can't Feel Gravity
- Further Examples
- Earth's Effective Gravitation
- Coriolis Force
- PROBLEMS
Work and Energy
- Kinetic Energy
- Work
- Parametric Path Integrals
- Simpler Cases
- Power
- PROBLEMS
Potential Energy
- What you Already Know
- Potential Energy Defined
- Potential Energy Near Earth's Surface
- Potential Energy for Universal Gravitation
- Elastic Potential Energy
- Energy Conservation
- Dissipative Forces
- PROBLEMS
Momentum and Collisions
- Momentum
- Momentum Conservation
- Center of Mass
- Coefficient of Restitution and Elasticity
- Relative Velocity
- Collisions
- Some Potential Simplifications
- PROBLEMS
Rigid Body Motion
- Angular Kinematics
- Moment of Inertia
- Parallel Axis Theorem
- Torque
- Angular Momentum
- Rolling Motion
- Precession
- 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
- Lab Exercise
Music and Resonance
- Resonance
- Resonant Frequencies
- Resonance In Musical Instruments
- The Musical Scale
- Standing Waves and Resonance
- String and Pipe Modes
- Beats
- Doppler Effect
- The Pleasure of Music
- PROBLEMS
- Lab Exercise
- Lab Exercise II
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
- W-S Quantum Harmonic Oscillator
- PROBLEMS
Quantum Mechanics
- Classical Wave Equation
- Schrödinger's Equation
- Properties of the Wave Function
- "Particle" in a 1D Box
- Quantum Tunneling
- Quantum Harmonic Oscillator
- PROBLEMS
- Wave Function Lab
Special Relativity
- The Postulates
- Some Definitions
- Relativistic Velocity Addition
- Time Dilation
- Length Contraction
- Momentum and Energy
- Energy Momentum Relation
- 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
- General Relativity and Expansion
- Numerical Solution to Friedmann Equation
Answers to Problems
- Answers
- Interference
Electric Charge
- Charge
- Net Charge
- The Coulomb Force
Math Review
- Miscellaneous Comments
- Problems

Introduction

Interactive Engineering Physics with Numerical Methods

Table of Contents

Introduction

Kinematics

Dynamics

Dynamics with Variable Forces

Harmonic Motion

Circular Motion

Effective Gravitation

Work and Energy

Potential Energy

Momentum and Collisions

Rigid Body Motion

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

Electric Charge

Math Review

New Resources

Discover Resources

Discover Topics