Table of Contents
Introduction
Chapter 1: Fundamental Concepts
- 1.1.1 Scalar vs. Vector
- 1.1.2 Newton’s Laws
- 1.1.3 Units
- 1.1.4 Measurement Conversions
- 1.1.5 Weight vs. Mass
- 1.1.6 Pythagorean Theorem
- 1.1.7 Sine/Cosine Laws
1.4 Dot Product
1.5 Cross Products
- Example 1.8.1: Vectors (Tyson Ashton-Losee)
- Example 1.8.2: Vectors (Brian MacDonald)
- Example 1.8.3: Dot & Cross Product
- Example 1.8.4: Torque (Luke McCarvill)
- Example 1.8.5: Torque (Hamza Ben Driouech)
- Example 1.8.6: Bonus Vector Material (Liam Murdock)
- Example 1.8.7: Cross Product (Victoria Keefe)
Chapter 2: Particles
2.1 Particle & Rigid Body
2.2 Free Body Diagrams for Particles
2.3 Equilibrium Equations for Particles
- Example 2.4.1: Equilibrium Equation and Components of Vectors (Analiya Benny)
- Example 2.4.2: Equilibrium Equation (Kylian Duplan)
- Example 2.4.3
- Example 2.4.4: Equilibrium Equation (Analiya Benny)
Chapter 3: Rigid Body Basics
3.4 Reactions & Supports
3.5 Indeterminate Loads
- Example 3.6.1: Reaction Forces (Andrew Williamson)
- Example 3.6.2: Couples (Kirsty MacLellan)
- Example 3.6.3: Distributed Load (Luciana Davila)
- Example 3.6.4: Couple (Hamza Ben Driouech)
- Example 3.6.5: Couple (Andrew Williamson)
- Example 3.6.6: Couple (Elliot Fraser)
- Example 3.6.7: Lever Arms (Dhruvil Kanani)
- Example 3.6.8: Distributed Loads (Will Craine)
- Example 3.6.9: Couple (Anonymous)
Chapter 4: Rigid Bodies
4.2 Rigid Body Free Body Diagrams
4.3 Rigid Body Equilibrium Equations
4.4 Friction and Impending Motion
- Example 4.5.1: External Forces (Elliott Fraser)
- Example 4.5.2: Free-Body Diagrams (Victoria Keefe)
- Example 4.5.3: Friction (Deanna Malone)
- Example 4.5.4: Friction (Dhruvil Kanani)
- Example 4.5.5: Friction (Emma Christensen)
- Example 4.5.6: Friction (Riley Fitzpatrick)
- Example 4.5.7: Slip or Tip (Luke McCarvill)
- Example 4.5.8: Friction (Michael Oppong-Ampomah)
- Example 4.5.9: Coefficient of Friction (Liam Murdock)
Chapter 5: Trusses
5.2 Method of Joints
5.3 Method of Sections
5.4 Zero-Force Members
- Example 5.5.1: Method of Sections (Riley Fitzpatrick)
- Example 5.5.2: Zero-Force Members (Michael Oppong-Ampomah)
- Example 5.5.3: Method of Joints (Deanna Malone)
- Example 5.5.4: Method of Joints (Luke McCarvill)
- Example 5.5.5: Method of Sections (Liam Murdock)
Chapter 6: Internal Forces
- 6.2.1 What are Shear/Moment Diagrams?
- 6.2.2 Distributed Loads & Shear/Moment Diagrams
- 6.2.3 Producing a Shear/Moment Diagram
- 6.2.4 Tips & Plot Shapes
- Example 6.3.1: Internal Forces – Submitted by Emma Christensen
- Example 6.3.2: Shear/Moment Diagrams – Submitted by Deanna Malone
- Example 6.3.3: V/M Diagrams – Submitted by Luciana Davila
- Example 6.3.4: V/M Diagrams – Submitted by Michael Oppong-Ampomah
- Example 6.3.5: V/M Diagrams – Submitted by William Craine
- Example 6.3.6: Internal Forces – Submitted by Riley Fitzpatrick
- Example 6.3.7: Internal Forces, Shear/Moment Diagrams – Submitted by Odegua Obehi-Arhebun
- Example 6.3.8: Internal Forces – Submitted by Celina Areoye
- Example 6.3.9: Internal Forces – Submitted by Okino Itopa Farooq
Chapter 7: Inertia
- 7.1 Center of Mass: Single Objects
- 7.2 Center of Mass: Composite Shapes
- 7.3 Types of Inertia
- 7.4 Mass Moment of Inertia
- 7.5 Inertia Intro: Parallel Axis Theorem
- 7.6 Examples
- Example 7.6.1: All of Ch 7 – Submitted by William Craine
- Example 7.6.2: Inertia – Submitted by Luke McCarvill
- Example 7.6.3: All of Ch 7 – Submitted by Victoria Keefe
- Example 7.6.4: All of Ch 7 – Submitted by Deanna Malone
- Example 7.6.5: All of Ch 7 – Submitted by Liam Murdock
- Example 7.6.6: Center of Mass – Submitted by Dhruvil Kanani
- Example 7.6.7: Mass moment of inertia – Submitted by Michael Oppong-Ampomah
