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ESM 2104
VT
Course Overview
Lessons & Practice
1. Force Vectors (Review)
6hr1.2.1. Scalars & Vectors - Definitions & Examples3 min1.2.2. Vectors (2D)12 min1.2.3. Vectors (3D)6 min1.2.4. Examples: Scalars and Vectors (Sine and Cosine Laws)13 min1.2.5. Practice: Scalars and Vectors (Sine and Cosine Laws)10 min1.2.6. Practice: Scalars and Vectors (Catesian Format, Sine Law)16 min1.2.7. Example: Scalars and Vectors (Rectangular Components)13 min1.2.8. Practice: Scalars and Vectors (Rectangular Components) 11 min
1.6.1. Forces 3D Cartesian Form (IMPORTANT!)11 min1.6.2. Example 1 - Part 1: 3D Force Vectors 11 min1.6.3. Example 1 - Part 2: 3D Force Vectors 7 min1.6.4. Example 2: 3D Force Vectors13 min1.6.5. Example: Forces in Cartesian Vector Form16 min1.6.6. Practice 1: 3D Force Vectors10 min1.6.7. Practice: 3D Vector Practice Questions Part 15 min1.6.8. Practice: 3D Vector Practice Questions Part 26 min
2. Equilibrium of a Particle
4hr2.3.1. Ropes, Cables, and Springs (2D Equilibrium)7 min2.3.2. Pulleys (2D Equilibrium)7 min2.3.3. Example 1: Ropes and Cables (2D)11 min2.3.4. Practice 1: Ropes and Cables (2D)13 min2.3.5. Example 2: Part 1 - Pulleys (2D) - IMPORTANT!12 min2.3.6. Example 2: Part 2 - Pulleys (2D) - IMPORTANT! 6 min2.3.7. Practice 2: Pulleys (2D) - IMPORTANT!13 min2.3.8. Example Question 1: Cables and Springs5 min2.3.9. Example Question 2: Cables and Hanging Weights3 min2.3.10. Example Question 3: Two Cables7 min
2.6.1. Example Question 1: Cables and Weights2.6.2. Example Question 2: Weights and Two Cables2.6.3. Example Question 3: Cables2.6.4. Particle Equilibrium - Practice Questions (2D Problems - Part 1)2.6.5. Particle Equilibrium - Practice Questions (2D Problems - Part 2)8 min2.6.6. Particle Equilibrium - Practice Questions (3D Problems - Part 1)9 min2.6.7. Particle Equilibrium - Practice Questions (3D Problems - Part 2)13 min2.6.8. Quiz: Practice Questions - Particle Equilibrium (Part 1)1 Qn2.6.9. Quiz: Practice Questions - Particle Equilibrium (Part 2)2 Qns
3. Rigid Bodies: Equivalent Systems of Forces
6hr3.3.1. Moments About a Point - Scalar Formulation (for 2D)12 min3.3.2. Example 1 - Part 1 (M= r x F): Moment About a Point (2D)11 min3.3.3. Example 1 - Part 2 (M= Fd): Moment About a Point (2D)7 min3.3.4. Example 2: Moment About a Point (2D) - M = Fd 11 min3.3.5. Example: Computing Moments About a Point 3.3.6. Example: Computing Moments About a Point Example6 min3.3.7. Example: Computing Moments About a Point11 min3.3.8. Practice: Moments About a Point (2D) 7 min3.3.9. Practice: Moments About a Point (2D)13 min3.3.10. Moments About a Point - Practice Questions (2D)3.3.11. Quiz: Moments About a Point - Practice Questions (2D)4 Qns3.3.12. Moments About a Point - Vector formulation (for 3D)3.3.13. Example 1: Moment About a Point (3D) 12 min3.3.14. Practice: Moments About a Point (3D) 10 min3.3.15. Practice: Moments About a Point (3D)6 min3.3.16. Moments About a Point - Practice Questions (3D)3.3.17. Quiz: Moments About a Point - Practice Questions (3D)2 Qns
3.4.1. Computing Moments About an Axis2 min3.4.2. Example: Computing Moments About An Axis6 min3.4.3. Practice: Moments About an Axis (Part 1)7 min3.4.4. Moments About an Axis - Practice Questions (Part 1)3.4.5. Moments About an Axis - Practice Questions (Part 2)3.4.6. Quiz: Computing Moments About on Axis1 Qn
3.5.1. Couple Moments (with Example)6 min3.5.2. Couple Moments4 min3.5.3. Couple Moments - The Basics9 min3.5.4. Example 1: Couple Moments (2D)3 min3.5.5. Example 2: Couple Moments (2D)6 min3.5.6. Practice: Couple Moments (2D)5 min3.5.7. Couple Moments Practice - 2D (New)2 min3.5.8. Quiz: Couple Moments - Quiz Practice Questions (2D)2 Qns3.5.9. Example 3: Couple Moments (3D)17 min3.5.10. Practice: Couple Moments (3D)8 min3.5.11. Couple Moments Practice - 3D (New)6 min3.5.12. Quiz: Couple Moments - 3D Quiz1 Qn
3.6.1. Reduction of System of Forces & Moments (Equivalency)9 min3.6.2. Example: Force-Moment Systems3.6.3. Example 1: Equivalency (2D) - Part 112 min3.6.4. Example 1: Equivalency (2D) - Part 27 min3.6.5. Force Moment Systems - Practice Questions3.6.6. Force Moment Systems - Practice Questions (Shifting Wrench)3.6.7. Force Moment Systems - Practice Questions (3D)3.6.8. Practice 3: Equivalency - Force-Couple (3D)14 min3.6.9. Quiz: Force-Moment Systems2 Qns
3.7.1. Distributed Loads (Common Geometric Shapes & Integration)15 min3.7.2. Distributed Loads (Integration (more))6 min3.7.3. Example: Distributed Loads (Geometric Example)3.7.4. Example: Distributed Loads - Geometric2 min3.7.5. Distributed Loads - Practice Questions (Geometric Shapes)3.7.6. Quiz: Distributed Loads - Quiz Practice Questions (Geometric Shapes)4 Qns3.7.7. Quiz: Distributed Loads Practice - Geometric Shapes Quiz2 Qns3.7.8. Quiz: Distributed Loads - Quiz Practice Questions (Geometric Shapes)4 Qns3.7.9. Example 1: Distributed Loads9 min3.7.10. Example 2: Distributed Loads11 min3.7.11. Practice 1: Distributed Loads10 min3.7.12. Practice 2: Distributed Loads10 min3.7.13. Distributed Loads - Practice Questions (Geometric Shapes)6 min3.7.14. Example: Distributed Loads (Integration Example)3.7.15. Example: Distributed Loads - Integration2 min3.7.16. Distributed Loads - Practice Questions (Integration)3.7.17. Distributed Loads - Practice Questions (Integration)4 min3.7.18. Distributed Loads Practice - Integration4 min3.7.19. Distributed Loads Practice - Integration3.7.20. Quiz: Distributed Loads Practice - Integration Quiz1 Qn3.7.21. Quiz: Distributed Loads Practice - Integration Quiz1 Qn
4. Equilibrium of Rigid Bodies
7hr4.1.1. Rigid Body Equilibrium (2D)9 min4.1.2. 2D Rigid Body - Free Body Diagram (FBD) Practice 18 min4.1.3. Example 1: 2D Rigid Body Equilibrium 11 min4.1.4. Practice 2: 2D Rigid Body Equilibrium 25 min4.1.5. Practice 3: Spring Practice Problem 21 min4.1.6. 2D Solution Method53 sec4.1.7. Example: 2D Solution Method4.1.8. Rigid Body - Practice Questions (2D - Part 1)4.1.9. Quiz: 2D solution Method5 Qns4.1.10. Practice 1: 2D Rigid Body Equilibrium (Try This - Check your work!)33 min4.1.11. Example 2: 2D Rigid Body Equilibrium - Part 2 (IMPORTANT!) 10 min4.1.12. Example 2: 2D Rigid Body Equilibrium - Part 1 (IMPORTANT!)16 min4.1.13. Practice: Rigid Body (2D - Part 1)10 min4.1.14. 2D Solution Method3 min4.1.15. Example: 2D Solution Method6 min
4.2.1. 2D Solution Method53 sec4.2.2. Example: 2D Solution Method Example4 min4.2.3. Practice: Rigid Body (2D - Part 1)6 min4.2.4. Practice: Rigid Body (2D - Part 2)2 min4.2.5. Quiz: 2D solution Method Quiz7 Qns4.2.6. Practice: Rigid Body Practice - 2D (Part 1)2 min4.2.7. Practice: Rigid Body 2D (Part 2)8 min4.2.8. Practice: Rigid Body 2D (Part 3)8 min4.2.9. Quiz: 2D Solution Method (New)5 Qns
4.3.1. 3D Rigid Body Equilibrium14 min4.3.2. 3D Rigid Body - Support Reactions and FBDs12 min4.3.3. Example 1: 3D Rigid Body Equilibrium (IMPORTANT!) - Part 114 min4.3.4. Example 1: 3D Rigid Body Equilibrium - Part 210 min4.3.5. Example 1: 3D Rigid Body Equilibrium - Part 317 min4.3.6. Example 2: 3D Rigid Body Equilibrium32 min4.3.7. Practice 1: 3D Rigid Body Equilibrium (IMPORTANT!)38 min4.3.8. Practice 2: 3D Rigid Body Equilibrium (IMPORTANT!)34 min
5. Analysis of Structures
5hr5.3.1. Example 1: Method of Sections 17 min5.3.2. Example 2 - Part 1: Combo of Method of Joints and Method of Sections12 min5.3.3. Example 2 - Part 2: Combo of Method of Joints and Method of Sections12 min5.3.4. Practice 1: Method of Sections22 min5.3.5. Practice 2: Method of Sections19 min5.3.6. Practice 3: Method of Sections 19 min5.3.7. Method of Sections (MOS)10 min5.3.8. Quiz: Method of Sections Practice5 Qns5.3.9. Quiz: Method of Sections Practice5 Qns
5.4.1. Frames and Machines13 min5.4.2. Example 1 - Part 1: Frames and Machines (IMPORTANT-EXAM LIKE!)11 min5.4.3. Example 1 - Part 2: Frames and Machines (IMPORTANT - EXAM LIKE!)8 min5.4.4. Example 2: Frames and Machines (IMPORTANT - EXAM LIKE!)20 min5.4.5. Example - Frames and Machines - Multiple Pulleys 5.4.6. Example - compound beam5.4.7. Practice 1: Frames and Machines (IMPORTANT - EXAM LIKE!)22 min5.4.8. Practice 2: Frames and Machines Practice (IMPORTANT - EXAM LIKE!)29 min5.4.9. Practice 2: Frames and Machines (IMPORTANT-EXAM LIKE!)16 min5.4.10. Practice 3: Frames and Machines Practice (OPTIONAL)14 min5.4.11. Quiz: Frames and Machines Quiz6 Qns
6. Distributed Forces: Centroid and Centers of Gravity
4hr6.1.1. Centroids of Area12 min6.1.2. Centroids of Area17 min6.1.3. Example: Centroids of Area - Geometric (DO THIS!)10 min6.1.4. Example: Centroids of Area - Integration (OPTIONAL)15 min6.1.5. Practice: Centroids Practice - Geometric (DO THIS!)11 min6.1.6. Practice: Centroids Geometric (DO THIS!)9 min6.1.7. Practice: Centroids Geometric10 min6.1.8. Quiz: Centroids Practice - Geometric Quiz (New)2 Qns6.1.9. Practice: Centroids - Geometric 3D (OPTIONAL)17 min6.1.10. Practice: Centroids - Integration16 min6.1.11. Practice: Centroids - Integration14 min6.1.12. Quiz: Centroids Practice - Integration Quiz (New)1 Qn
6.3.1. Hydrostatics20 min6.3.2. Example 1: Hydrostatics (IMPORTANT - EXAM LIKE!)18 min6.3.3. Example 2 - Part 1: Hydrostatics (IMPORTANT - EXAM LIKE!)15 min6.3.4. Example 2 - Part 2: Hydrostatics (IMPORTANT - EXAM LIKE!)18 min6.3.5. Practice 1: Hydrostatics (IMPORTANT - EXAM LIKE!)13 min6.3.6. Practice 2: Hydrostatics (IMPORTANT - EXAM LIKE!)14 min
7. Internal Forces and Moments
4hr7.1.1. Internal Forces10 min7.1.2. 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) 17 min7.1.5. Example: Internal Forces6 min7.1.6. Practice: Internal Forces9 min7.1.7. Practice 1: Internal Forces at a Point (OPTIONAL) 8 min7.1.8. Practice 2: Internal Forces at a Point (OPTIONAL) 10 min
7.2.1. Method 1 - using Method of Sections7 min7.2.2. Example 1: Drawing Shear and Moment Diagrams (DO THIS!)12 min7.2.3. Practice 1: Drawing Shear and Moment Diagrams (DO THIS!)14 min7.2.4. Practice 2: Drawing Shear and Moment Diagrams (DO THIS!)16 min7.2.5. Example 2 - Part 1: ENGG 13015 min7.2.6. Example 2 - Part 2: ENGG 13015 min7.2.7. Method 2 - using Shortcuts11 min7.2.8. Practice 3 (IMPORTANT - EXAM LIKE!) : Drawing Shear and Moment Diagrams22 min7.2.9. Practice: Internal Forces (Graphical)11 min7.2.10. Practice 3: Internal Forces as a Function of x. (MUST KNOW!) 14 min7.2.11. Practice 4: Internal Forces as a Function of x. (MUST KNOW!) 10 min7.2.12. Practice 5: Internal Forces as a Function of x. (MUST KNOW!) 12 min7.2.13. Example 2: Drawing Shear and Moment Diagrams20 min
8. Friction
2.3hr8.1.1. Friction11 min8.1.2. Friction Guidelines6 min8.1.3. Example: Friction4 min8.1.4. Practice 1: Friction (EXAM-LIKE!)22 min8.1.5. Practice 2: Friction (EXAM-LIKE!)23 min8.1.6. Practice 3: Friction (EXAM-LIKE!)21 min8.1.7. Practice: Friction - Multiple Bodies7 min8.1.8. Practice: Friction - Wedges12 min8.1.9. Quiz: Friction Practice Questions6 Qns
9. Distributed Forces: Moments of Inertia
35min10. Introduction
55minESM 2104 Overview
0:00 / 0:00
Welcome to ESM 2104! This on-demand course was put together especially for ESM 2104 at VT. Use the video lessons and notes to understand your lecture topics better, and the practice questions to cement your knowledge. And don't hesitate to leave a question in the Q&A box under each lesson if you need additional help with anything. Happy studying!
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