APS160H1
U of T
Course Overview
Grade Boosters
Lessons & Practice
1. General Principles
55min2. Force Vectors
6hr2.2.1. Scalars & Vectors - Definitions & Examples2.2.2. Vectors (2D)2.2.3. Vectors (3D)2.2.4. Examples: Scalars and Vectors (Sine and Cosine Laws)2.2.5. Practice: Scalars and Vectors (Sine and Cosine Laws)2.2.6. Practice: Scalars and Vectors (Catesian Format, Sine Law)2.2.7. Example: Scalars and Vectors (Rectangular Components)2.2.8. Practice: Scalars and Vectors (Rectangular Components)
2.6.1. Forces 3D Cartesian Form (IMPORTANT!)2.6.2. Example 1 - Part 1: 3D Force Vectors 2.6.3. Example 1 - Part 2: 3D Force Vectors 2.6.4. Example 2: 3D Force Vectors2.6.5. Practice 1: 3D Force Vectors2.6.6. Practice: 3D Vector Practice Questions Part 12.6.7. Practice: 3D Vector Practice Questions Part 22.6.8. Example: Forces in Cartesian Vector Form
3. Equilibrium of a Particle
4hr3.3.1. Ropes, Cables, and Springs (2D Equilibrium)3.3.2. Pulleys (2D Equilibrium)3.3.3. Example 1: Ropes and Cables (2D)3.3.4. Practice 1: Ropes and Cables (2D)3.3.5. Example 2: Part 1 - Pulleys (2D) - IMPORTANT!3.3.6. Example 2: Part 2 - Pulleys (2D) - IMPORTANT! 3.3.7. Practice 2: Pulleys (2D) - IMPORTANT!3.3.8. Example Question 1: Cables and Springs3.3.9. Example Question 2: Cables and Hanging Weights3.3.10. Example Question 3: Two Cables
3.6.1. Example Question 1: Cables and Weights3.6.2. Example Question 2: Weights and Two Cables3.6.3. Example Question 3: Cables3.6.4. Particle Equilibrium - Practice Questions (2D Problems - Part 1)3.6.5. Particle Equilibrium - Practice Questions (2D Problems - Part 2)3.6.6. Particle Equilibrium - Practice Questions (3D Problems - Part 1)3.6.7. Particle Equilibrium - Practice Questions (3D Problems - Part 2)3.6.8. Quiz: Practice Questions - Particle Equilibrium (Part 1)3.6.9. Quiz: Practice Questions - Particle Equilibrium (Part 2)
4. Force System Resultants
7hr4.3.1. Moments About a Point - Scalar Formulation (for 2D)4.3.2. Example 1 - Part 1 (M= r x F): Moment About a Point (2D)4.3.3. Example 1 - Part 2 (M= Fd): Moment About a Point (2D)4.3.4. Example 2: Moment About a Point (2D) - M = Fd 4.3.5. Example: Computing Moments About a Point 4.3.6. Example: Computing Moments About a Point Example4.3.7. Example: Computing Moments About a Point4.3.8. Practice: Moments About a Point (2D) 4.3.9. Practice: Moments About a Point (2D)4.3.10. Moments About a Point - Practice Questions (2D)4.3.11. Quiz: Moments About a Point - Practice Questions (2D)4.3.12. Moments About a Point - Vector formulation (for 3D)4.3.13. Example 1: Moment About a Point (3D) 4.3.14. Practice: Moments About a Point (3D) 4.3.15. Practice: Moments About a Point (3D)4.3.16. Moments About a Point - Practice Questions (3D)4.3.17. Quiz: Moments About a Point - Practice Questions (3D)
4.5.1. Couple Moments - The Basics4.5.2. Couple Moments4.5.3. Couple Moments (with Example)4.5.4. Example 1: Couple Moments (2D)4.5.5. Example 2: Couple Moments (2D)4.5.6. Practice: Couple Moments (2D)4.5.7. Couple Moments Practice - 2D (New)4.5.8. Quiz: Couple Moments - Quiz Practice Questions (2D)4.5.9. Example 3: Couple Moments (3D)4.5.10. Practice: Couple Moments (3D)4.5.11. Couple Moments Practice - 3D (New)4.5.12. Quiz: Couple Moments - 3D Quiz
4.6.1. Reduction of System of Forces & Moments (Equivalency)4.6.2. Example: Force-Moment Systems4.6.3. Example 1: Equivalency (2D) - Part 14.6.4. Example 1: Equivalency (2D) - Part 24.6.5. Force Moment Systems - Practice Questions4.6.6. Force Moment Systems - Practice Questions (Shifting Wrench)4.6.7. Force Moment Systems - Practice Questions (3D)4.6.8. Practice 3: Equivalency - Force-Couple (3D)4.6.9. Quiz: Force-Moment Systems
4.8.1. Distributed Loads (Common Geometric Shapes & Integration)4.8.2. Distributed Loads (Integration (more))4.8.3. Example: Distributed Loads (Geometric Example)4.8.4. Example: Distributed Loads - Geometric4.8.5. Distributed Loads - Practice Questions (Geometric Shapes)4.8.6. Quiz: Distributed Loads - Quiz Practice Questions (Geometric Shapes)4.8.7. Quiz: Distributed Loads Practice - Geometric Shapes Quiz4.8.8. Quiz: Distributed Loads - Quiz Practice Questions (Geometric Shapes)4.8.9. Example 1: Distributed Loads4.8.10. Example 2: Distributed Loads4.8.11. Practice 1: Distributed Loads4.8.12. Practice 2: Distributed Loads4.8.13. Distributed Loads - Practice Questions (Geometric Shapes)4.8.14. Example: Distributed Loads (Integration Example)4.8.15. Example: Distributed Loads - Integration4.8.16. Distributed Loads - Practice Questions (Integration)4.8.17. Distributed Loads - Practice Questions (Integration)4.8.18. Distributed Loads Practice - Integration4.8.19. Distributed Loads Practice - Integration4.8.20. Quiz: Distributed Loads Practice - Integration Quiz4.8.21. Quiz: Distributed Loads Practice - Integration Quiz
5. Equilibrium of Rigid Body
7hr5.1.1. Rigid Body Equilibrium (2D)5.1.2. 2D Rigid Body - Free Body Diagram (FBD) Practice 5.1.3. Example 1: 2D Rigid Body Equilibrium (Warm Up!)5.1.4. Example 1: 2D Rigid Body Equilibrium 5.1.5. Example 2: 2D Rigid Body Equilibrium - Part 1 (IMPORTANT!)5.1.6. Example 2: 2D Rigid Body Equilibrium - Part 2 (IMPORTANT!) 5.1.7. Practice 2: 2D Rigid Body Equilibrium 5.1.8. Practice 1: 2D Rigid Body Equilibrium (Try This - Check your work!)5.1.9. Practice 3: Spring Practice Problem 5.1.10. 2D Solution Method5.1.11. 2D Solution Method5.1.12. Example: 2D Solution Method5.1.13. Example: 2D Solution Method5.1.14. Rigid Body - Practice Questions (2D - Part 1)5.1.15. Practice: Rigid Body (2D - Part 1)5.1.16. Quiz: 2D solution Method
5.2.1. 2D Solution Method5.2.2. Example: 2D Solution Method Example5.2.3. Practice: Rigid Body (2D - Part 1)5.2.4. Practice: Rigid Body (2D - Part 2)5.2.5. Quiz: 2D solution Method Quiz5.2.6. Practice: Rigid Body Practice - 2D (Part 1)5.2.7. Practice: Rigid Body 2D (Part 2)5.2.8. Practice: Rigid Body 2D (Part 3)5.2.9. Quiz: 2D Solution Method (New)
5.3.1. 3D Rigid Body Equilibrium5.3.2. 3D Rigid Body - Support Reactions and FBDs5.3.3. Example 1: 3D Rigid Body Equilibrium (IMPORTANT!) - Part 15.3.4. Example 1: 3D Rigid Body Equilibrium - Part 25.3.5. Example 1: 3D Rigid Body Equilibrium - Part 35.3.6. Example 2: 3D Rigid Body Equilibrium5.3.7. Practice 1: 3D Rigid Body Equilibrium (IMPORTANT!)5.3.8. Practice 2: 3D Rigid Body Equilibrium (IMPORTANT!)
6. Structural Analysis
5hr6.3.1. Method of Sections (MOS)6.3.2. Example 1: Method of Sections 6.3.3. Example 2 - Part 1: Combo of Method of Joints and Method of Sections6.3.4. Example 2 - Part 2: Combo of Method of Joints and Method of Sections6.3.5. Practice 1: Method of Sections6.3.6. Practice 2: Method of Sections6.3.7. Practice 3: Method of Sections 6.3.8. Quiz: Method of Sections Practice6.3.9. Quiz: Method of Sections Practice
6.4.1. Frames and Machines6.4.2. Example 1 - Part 1: Frames and Machines (IMPORTANT-EXAM LIKE!)6.4.3. Example 1 - Part 2: Frames and Machines (IMPORTANT - EXAM LIKE!)6.4.4. Example 2: Frames and Machines (IMPORTANT - EXAM LIKE!)6.4.5. Example - Frames and Machines - Multiple Pulleys 6.4.6. Example - compound beam6.4.7. Practice 1: Frames and Machines (IMPORTANT - EXAM LIKE!)6.4.8. Practice 2: Frames and Machines Practice (IMPORTANT - EXAM LIKE!)6.4.9. Practice 2: Frames and Machines (IMPORTANT-EXAM LIKE!)6.4.10. Practice 3: Frames and Machines Practice (OPTIONAL)6.4.11. Quiz: Frames and Machines Quiz
7. Internal Forces
5hr7.1.1. Internal Forces7.1.2. Example: Internal Force (at a point) Simple Beam7.1.3. Example: Internal Forces (at a point) bar with pulleys7.1.4. Example 1: Internal Forces at a Point (OPTIONAL) 7.1.5. Example: Internal Forces7.1.6. Practice: Internal Forces7.1.7. Practice 1: Internal Forces at a Point (OPTIONAL) 7.1.8. Practice 2: Internal Forces at a Point (OPTIONAL)
7.2.1. Method 1 - using Method of Sections7.2.2. Example 1: Drawing Shear and Moment Diagrams (DO THIS!)7.2.3. Example 2: Drawing Shear and Moment Diagrams7.2.4. Example: Internal Forces Graphs 17.2.5. Example: Internal Forces Graphs 27.2.6. Example 2: Internal Forces as a Function of x (MUST KNOW!) 7.2.7. Practice 1: Drawing Shear and Moment Diagrams (DO THIS!)7.2.8. Practice 2: Drawing Shear and Moment Diagrams (DO THIS!)7.2.9. Example 2 - Part 1: ENGG 1307.2.10. Example 2 - Part 2: ENGG 1307.2.11. Method 2 - using Shortcuts7.2.12. Practice 3 (IMPORTANT - EXAM LIKE!) : Drawing Shear and Moment Diagrams7.2.13. Practice: Internal Forces (Graphical)7.2.14. Practice 3: Internal Forces as a Function of x. (MUST KNOW!) 7.2.15. Practice 4: Internal Forces as a Function of x. (MUST KNOW!) 7.2.16. Practice 5: Internal Forces as a Function of x. (MUST KNOW!)
8. Center of Gravity and Centriod
4hr8.1.1. Centroids of Area8.1.2. Centroids of Area8.1.3. Example: Centroids of Area - Geometric (DO THIS!)8.1.4. Example: Centroids of Area - Integration (OPTIONAL)8.1.5. Practice: Centroids Practice - Geometric (DO THIS!)8.1.6. Practice: Centroids Geometric (DO THIS!)8.1.7. Practice: Centroids Geometric8.1.8. Quiz: Centroids Practice - Geometric Quiz (New)8.1.9. Practice: Centroids - Geometric 3D (OPTIONAL)8.1.10. Practice: Centroids - Integration8.1.11. Practice: Centroids - Integration8.1.12. Quiz: Centroids Practice - Integration Quiz (New)
8.3.1. Hydrostatics8.3.2. Example 1: Hydrostatics (IMPORTANT - EXAM LIKE!)8.3.3. Example 2 - Part 1: Hydrostatics (IMPORTANT - EXAM LIKE!)8.3.4. Example 2 - Part 2: Hydrostatics (IMPORTANT - EXAM LIKE!)8.3.5. Practice 1: Hydrostatics (IMPORTANT - EXAM LIKE!)8.3.6. Practice 2: Hydrostatics (IMPORTANT - EXAM LIKE!)
9. Moment of Inertia
1.2hr9.1.1. Moment of Inertia9.1.2. Example 1: Second Moment of Area "Parallel Axis Theorem" 9.1.3. Example 1: Second Moment of Area "Parallel Axis Theorem" 9.1.4. Practice 1: Second Moment of Area "Parallel Axis Theorem" 9.1.5. Practice 2: Second Moment of Area "Parallel Axis Theorem" 9.1.6. Practice 1: Second Moment of Area "Parallel Axis Theorem" 9.1.7. Practice 2: Second Moment of Area "Parallel Axis Theorem" 9.1.8. Practice 2: Second Moment of Area "Parallel Axis Theorem" Part 2
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