3D Vectors Example (Part 2) 
3D Vectors Example (Part 2)
by SpoonFeedMe
Video Lecture 8 of 83
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Views: 865
Date Added: July 17, 2015

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

  1. Scalars and Vectors
  2. Parallelogram Law and Triangle Method
  3. Unit Vectors and Components
  4. Vectors Example
  5. Vector Tower Example
  6. 3D Vectors
  7. 3D Vector Example (Part 1)
  8. 3D Vectors Example (Part 2)
  9. Introduction to Forces
  10. Introduction to Moments
  11. Moment Example 1
  12. Moment Example 2
  13. Moments and Couple Moments
  14. Equivalent Systems Theory and Example
  15. Distrubuted Loads
  16. Solving Distributed Loads and Triangular Loads
  17. Resolving Forces Advanced Example
  18. Introduction to Equilibrium
  19. Introduction to Free Body Diagrams (FBD)
  20. Free Body Diagram Example
  21. Introduction to Supports: Roller, Pin, Fixed
  22. Simply Supported Beams Free Body Diagram Example
  23. Cantilever Free Body Diagram Example
  24. Advanced Free Body Diagram Beam Example
  25. Introduction to Axial & Shear Forces and Bending Moments
  26. Axial, Shear and Bending Diagrams
  27. Method of Sections
  28. Method of Sections Simple Example
  29. Method of Sections Advanced Example Part 1
  30. Method of Sections Advanced Example Part 2
  31. Introduction to Hooke's Law
  32. Hooke's Law and Stress vs Strain
  33. Stress vs Strain Diagram
  34. Rectilinear Motion |
  35. Rectilinear Motion Examples |
  36. Rectilinear Motion with Variable Acceleration |
  37. Curvilinear Motion |
  38. Projectile Motion |
  39. Projectile Motion Formulae Derivations |
  40. Circular Motion and Cylindrical Coordinates |
  41. Polar Coordinates Example |
  42. Newton's Laws and Kinetics |
  43. Introduction to Work |
  44. Work Example |
  45. Power and Efficiency |
  46. Work and Energy Example |
  47. Potential Energy, Kinetic Energy & Conservation |
  48. Conservation of Mechanical Energy Example |
  49. Introduction to Impulse and Momentum |
  50. Impulse, Momentum, Velocity Example 1 |
  51. Impulse, Momentum, Velocity Example 2 |
  52. Introduction to Impact |
  53. Central Impact Example |
  54. Shear Force Diagram Example
  55. Bending Moment Diagram Example
  56. Shear and Bending Diagrams
  57. Beam Analysis Example Part 1
  58. Beam Analysis Example Part 2
  59. Introduction to Trusses
  60. Types of Trusses and Design Assumptions
  61. Method of Joints Truss Example
  62. Advanced Method of Joints Truss Example
  63. Introduction to Method of Sections
  64. Method of Sections Theory
  65. Method of Sections Truss Example
  66. Simple Frame Example
  67. Advanced Frames Example
  68. Introduction to Friction
  69. Static Friction Example
  70. Tipping vs Slipping Friction
  71. Introduction to Hyrdostatic Forces | Hyd
  72. Hydrostatic Forces Example | Hyd
  73. Centroids
  74. Finding Centroids by Integration
  75. Centroids of Composite Shapes Example
  76. Moment of Inertia
  77. Moment of Inertia Standard Shapes
  78. Parallel Axis Theorem Part 1
  79. Parallel Axis Theorem Part 2
  80. Average Normal Stress
  81. Average Stress Example
  82. Shear Stress Example
  83. 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.

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