Scalars and Vectors 
Scalars and Vectors
by SpoonFeedMe
Video Lecture 1 of 83
Not yet rated
Views: 4,262
Date Added: July 17, 2015

Lecture Description

goo.gl/e6wdj2 for more FREE video tutorials covering Engineering Mechanics (Statics & Dynamics)

The objectives of this video are to review the scalar & vector concept and to do distinguish between scalars and vectors. First of all, the video gives definition of scalar & vector where scalar represents quantities that can be fully described by a magnitude (a numerical value) alone & vector represents quantities that require both the magnitude and direction to get described. Effectively what it means is that a scalar is simply a number or unit & a vector is something having magnitude along with the direction acting towards. Next, the video illustrates scalar & vector vividly by a schematic figure.

Moving on, the video introduces with few examples of scalars & vectors demonstrating the grounds for being those to be scalars or vectors. Doing so, the video highlights the difference between scalar and vector explaining all the facts & figures in greater details. Later, the video gives an overview on how to do adding operation of scalar & vector and finally refers to watch next video to get in touch with the parallelogram law and triangle method used to do operations on vectors.

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.

Comments

There are no comments. Be the first to post one.
  Post comment as a guest user.
Click to login or register:
Your name:
Your email:
(will not appear)
Your comment:
(max. 1000 characters)
Are you human? (Sorry)