### Lecture Description

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This video, continuation of the previous video 1.8, very first demonstrates the key objective to add the unit component vector to get the resultant vector. The video step by step shows how to add unit vectors discretely at x, y and z axes followed by the addition operation of all three unit vectors to obtain the resultant vector over the 3D reference frame. Doing so, the video explains the addition of vectors having negative magnitude in value.

Moving on, the video briefly shows how to obtain the resultant vector absolute magnitude applying the formula introduced in earlier video and subsequently elaborates how to do angle calculation to get the resultant vector direction in 3D reference space. Later, the video shows the procedure to get unit vector of the obtained resultant vector. Overall, the video tries to give a brief inside to clear the concept of 3-D vector operation in 3-D reference space. Don’t forget to do on hand practices to have a strong basic on vectors which is required to understand many areas of engineering mechanics.

### Course Index

- Scalars and Vectors
- Parallelogram Law and Triangle Method
- Unit Vectors and Components
- Vectors Example
- Vector Tower Example
- 3D Vectors
- 3D Vector Example (Part 1)
- 3D Vectors Example (Part 2)
- Introduction to Forces
- Introduction to Moments
- Moment Example 1
- Moment Example 2
- Moments and Couple Moments
- Equivalent Systems Theory and Example
- Distrubuted Loads
- Solving Distributed Loads and Triangular Loads
- Resolving Forces Advanced Example
- Introduction to Equilibrium
- Introduction to Free Body Diagrams (FBD)
- Free Body Diagram Example
- Introduction to Supports: Roller, Pin, Fixed
- Simply Supported Beams Free Body Diagram Example
- Cantilever Free Body Diagram Example
- Advanced Free Body Diagram Beam Example
- Introduction to Axial & Shear Forces and Bending Moments
- Axial, Shear and Bending Diagrams
- Method of Sections
- Method of Sections Simple Example
- Method of Sections Advanced Example Part 1
- Method of Sections Advanced Example Part 2
- Introduction to Hooke's Law
- Hooke's Law and Stress vs Strain
- Stress vs Strain Diagram
- Rectilinear Motion |
- Rectilinear Motion Examples |
- Rectilinear Motion with Variable Acceleration |
- Curvilinear Motion |
- Projectile Motion |
- Projectile Motion Formulae Derivations |
- Circular Motion and Cylindrical Coordinates |
- Polar Coordinates Example |
- Newton's Laws and Kinetics |
- Introduction to Work |
- Work Example |
- Power and Efficiency |
- Work and Energy Example |
- Potential Energy, Kinetic Energy & Conservation |
- Conservation of Mechanical Energy Example |
- Introduction to Impulse and Momentum |
- Impulse, Momentum, Velocity Example 1 |
- Impulse, Momentum, Velocity Example 2 |
- Introduction to Impact |
- Central Impact Example |
- Shear Force Diagram Example
- Bending Moment Diagram Example
- Shear and Bending Diagrams
- Beam Analysis Example Part 1
- Beam Analysis Example Part 2
- Introduction to Trusses
- Types of Trusses and Design Assumptions
- Method of Joints Truss Example
- Advanced Method of Joints Truss Example
- Introduction to Method of Sections
- Method of Sections Theory
- Method of Sections Truss Example
- Simple Frame Example
- Advanced Frames Example
- Introduction to Friction
- Static Friction Example
- Tipping vs Slipping Friction
- Introduction to Hyrdostatic Forces | Hyd
- Hydrostatic Forces Example | Hyd
- Centroids
- Finding Centroids by Integration
- Centroids of Composite Shapes Example
- Moment of Inertia
- Moment of Inertia Standard Shapes
- Parallel Axis Theorem Part 1
- Parallel Axis Theorem Part 2
- Average Normal Stress
- Average Stress Example
- Shear Stress Example
- Strain

### Course Description

Mechanics, the study of forces and physical bodies, underpins a very large proportion of all forms of engineering. A thorough understanding of mechanics is essential to any successful engineer. This course helps develop an understanding of the nature of forces with consideration for how they may be simplified in an engineering context. The conditions of equilibrium are then used to solve a number of problems in 2D and 3D before moving on to a broad range of topics including centroids, distributed loads, friction and virtual work. The course will also provide an introduction to dynamics, with a particular focus on the effects that forces have upon motion.