# Engineering Mechanics

- Institution: IIT Kanpur
- Department: Physics
- Teacher: Prof. Manoj Harbola
- Level: Undergraduate
- Language: English
- Subjects: Physics
- Source: [NPTEL](https://nptel.ac.in/courses/115104094)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/115104094)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

## Lectures

1. [Introduction to Vectors](https://invisiblenetwork.ai/learn/nptel/115104094/9c8e13fa91ca) (Video)
2. [Addition and subtraction of vectors](https://invisiblenetwork.ai/learn/nptel/115104094/a983bf3c6a68) (Video)
3. [Multiplying vectors](https://invisiblenetwork.ai/learn/nptel/115104094/a897ad7f723f) (Video)
4. [Introduction to vectors: solved examples I](https://invisiblenetwork.ai/learn/nptel/115104094/5a4d4b8fbef4) (Video)
5. [Transformation of vectors under rotation](https://invisiblenetwork.ai/learn/nptel/115104094/c5e12beecfed) (Video)
6. [Vector products and their geometric interpretation](https://invisiblenetwork.ai/learn/nptel/115104094/8efd74c0df81) (Video)
7. [Vector Product: Kronecker Delta and Levi-Civita symbols-I](https://invisiblenetwork.ai/learn/nptel/115104094/c8f37c2dfce3) (Video)
8. [Vector Product: Kronecker Delta and Levi-Civita symbols-II](https://invisiblenetwork.ai/learn/nptel/115104094/2aa0d474e2d3) (Video)
9. [Introduction to vectors: solved examples II](https://invisiblenetwork.ai/learn/nptel/115104094/630109b9cd51) (Video)
10. [Equilibrium of rigid bodies – Forces and torques](https://invisiblenetwork.ai/learn/nptel/115104094/1a1d147b8786) (Video)
11. [Calculating torques and couple moments-I](https://invisiblenetwork.ai/learn/nptel/115104094/bee7a6a79353) (Video)
12. [Calculating torques and couple moments-II](https://invisiblenetwork.ai/learn/nptel/115104094/1b1b7abc894a) (Video)
13. [Finding a force and a couple equivalent to an applied force](https://invisiblenetwork.ai/learn/nptel/115104094/bd49868ab0a2) (Video)
14. [Different elements and associated forces and torques-I](https://invisiblenetwork.ai/learn/nptel/115104094/1da048926e86) (Video)
15. [Different elements and associated forces and torques - II](https://invisiblenetwork.ai/learn/nptel/115104094/fd118c588504) (Video)
16. [Solved examples; equilibrium of bodies – I](https://invisiblenetwork.ai/learn/nptel/115104094/98067b71276c) (Video)
17. [Solved examples; equilibrium of bodies – II](https://invisiblenetwork.ai/learn/nptel/115104094/687406f01d3d) (Video)
18. [Forces in different geometric configuration](https://invisiblenetwork.ai/learn/nptel/115104094/ef4a11f37884) (Video)
19. [Plane trusses I - building a truss and condition for it to be statically determinate](https://invisiblenetwork.ai/learn/nptel/115104094/23b958dbe17d) (Video)
20. [Plane trusses II - calculating forces in a simple truss and different types of trusses](https://invisiblenetwork.ai/learn/nptel/115104094/b9329e2e00d4) (Video)
21. [Plane trusses III - calculating forces in a simple truss by method of joints](https://invisiblenetwork.ai/learn/nptel/115104094/28052f61bfea) (Video)
22. [Plane trusses IV- Solved examples for calculating forces in a simple truss by method of joints](https://invisiblenetwork.ai/learn/nptel/115104094/899901e33ea0) (Video)
23. [Plane trusses V - Solved examples for calculating forces in a simple truss by method of joints](https://invisiblenetwork.ai/learn/nptel/115104094/ff8bb9543154) (Video)
24. [Plane trusses VI: method of sections for calculating forces in a simple truss](https://invisiblenetwork.ai/learn/nptel/115104094/2eb8a9db7001) (Video)
25. [Dry friction I - introduction with an example](https://invisiblenetwork.ai/learn/nptel/115104094/da93bad857dd) (Video)
26. [Dry friction II - a solved example](https://invisiblenetwork.ai/learn/nptel/115104094/7f2c3665710f) (Video)
27. [Dry friction III - Dry thrust bearing and belt friction with demonstration](https://invisiblenetwork.ai/learn/nptel/115104094/00dc90424afe) (Video)
28. [Dry friction IV - Screw friction and rolling friction](https://invisiblenetwork.ai/learn/nptel/115104094/e74572bae971) (Video)
29. [Dry friction V: Solved examples](https://invisiblenetwork.ai/learn/nptel/115104094/da0dbafafa05) (Video)
30. [Properties of plane surfaces I - First moment and centroid of an area](https://invisiblenetwork.ai/learn/nptel/115104094/65dfeaaf397a) (Video)
31. [Properties of plane surfaces II - Centroid of an area made by joining several plane surfaces](https://invisiblenetwork.ai/learn/nptel/115104094/34a55845ef28) (Video)
32. [Properties of plane surfaces III - Centroid of a distributed force and its relation with centre of gravity](https://invisiblenetwork.ai/learn/nptel/115104094/279b7b438250) (Video)
33. [Properties of plane surfaces IV - solved examples of calculation of first moment and centroid of distributed forces](https://invisiblenetwork.ai/learn/nptel/115104094/a97004844d52) (Video)
34. [Properties of plane surfaces V- Second moment and product of an area and radius of gyration](https://invisiblenetwork.ai/learn/nptel/115104094/b4fcaa0b5a77) (Video)
35. [Properties of plane surfaces VI - Parallel axis transfer theorem for second moment and product of an area](https://invisiblenetwork.ai/learn/nptel/115104094/4c4c202bd494) (Video)
36. [Properties of plane surfaces VII - transformation of second moment and product of an area under rotation of coordinate axes](https://invisiblenetwork.ai/learn/nptel/115104094/33f128061f0e) (Video)
37. [Properties of plane surfaces VIII - second moment and product of an area, solved examples](https://invisiblenetwork.ai/learn/nptel/115104094/37f595649544) (Video)
38. [Method of virtual work I - degrees of freedom, constraints and constraint forces](https://invisiblenetwork.ai/learn/nptel/115104094/9da934ed3fb8) (Video)
39. [Method of virtual work II - virtual displacement, virtual work and equilibrium condition in terms of virtual work](https://invisiblenetwork.ai/learn/nptel/115104094/1e3e424a8a84) (Video)
40. [Method of virtual work III - solved examples](https://invisiblenetwork.ai/learn/nptel/115104094/27c3900c4d52) (Video)
41. [Motion of a particle in a plane in terms of planar polar coordinates](https://invisiblenetwork.ai/learn/nptel/115104094/6c14efd24bc2) (Video)
42. [Planar polar coordinates: solved examples](https://invisiblenetwork.ai/learn/nptel/115104094/a871f2de129d) (Video)
43. [Description of motion in cylindrical and spherical coordinate systems](https://invisiblenetwork.ai/learn/nptel/115104094/83f82cf7dc47) (Video)
44. [Using planar polar, cylindrical and spherical coordinate systems: solved examples](https://invisiblenetwork.ai/learn/nptel/115104094/5cff17a3b8d8) (Video)
45. [Motion with constraints, constraint forces and free body diagram](https://invisiblenetwork.ai/learn/nptel/115104094/e561480986fc) (Video)
46. [Motion with constraints – solved examples](https://invisiblenetwork.ai/learn/nptel/115104094/c6fad12f13d7) (Video)
47. [Motion with dry friction – solved examples](https://invisiblenetwork.ai/learn/nptel/115104094/21e205ae0123) (Video)
48. [Motion with drag – solved examples](https://invisiblenetwork.ai/learn/nptel/115104094/61f7e781bd1e) (Video)
49. [Equation of motion in terms of linear momentum and the principle of conservation of linear momentum](https://invisiblenetwork.ai/learn/nptel/115104094/c6b6c90fe8fb) (Video)
50. [Linear momentum and centre of mass](https://invisiblenetwork.ai/learn/nptel/115104094/0501625b0253) (Video)
51. [Momentum transfer, impulse and force due to a stream of particles hitting an object](https://invisiblenetwork.ai/learn/nptel/115104094/c281a25a85a5) (Video)
52. [Momentum and the variable mass problem](https://invisiblenetwork.ai/learn/nptel/115104094/8f3340646416) (Video)
53. [Linear momentum – solved examples](https://invisiblenetwork.ai/learn/nptel/115104094/d7658bba013e) (Video)
54. [Work and energy I - work energy theorem; conservative and non-conservative force fields](https://invisiblenetwork.ai/learn/nptel/115104094/d5cc538f5331) (Video)
55. [Work and energy II - Definition of potential energy for conservative forces; total mechanical energy and the principle of conservation of energy](https://invisiblenetwork.ai/learn/nptel/115104094/5c17b0aaf631) (Video)
56. [Work and energy III - Two solved examples using conservation principles](https://invisiblenetwork.ai/learn/nptel/115104094/160e686c5529) (Video)
57. [Work and energy IV – Further discussion on potential energy](https://invisiblenetwork.ai/learn/nptel/115104094/f186aa6dad7d) (Video)
58. [Work and energy V - Solved examples](https://invisiblenetwork.ai/learn/nptel/115104094/a1f9e7fc690a) (Video)
59. [Work and energy VI – Applying conservation principles to solve a collision problem](https://invisiblenetwork.ai/learn/nptel/115104094/0b08574e81ea) (Video)
60. [Work and energy VII - Solved examples](https://invisiblenetwork.ai/learn/nptel/115104094/c6d0a6d67dea) (Video)
61. [Rigid body motion I - degrees of freedom and number of variables required to describe motion of a rigid body](https://invisiblenetwork.ai/learn/nptel/115104094/85d74f102163) (Video)
62. [Rigid body motion II - Equation of motion for a single particle in terms of angular momentum and torque; motion of a conical pendulum](https://invisiblenetwork.ai/learn/nptel/115104094/3b6e00968925) (Video)
63. [Rigid body motion III - Conservation of angular momentum; angular momentum for a collection of particles](https://invisiblenetwork.ai/learn/nptel/115104094/e47344d155c4) (Video)
64. [Rigid body motion IV - applying angular momentum conservation, a solved example](https://invisiblenetwork.ai/learn/nptel/115104094/36f7ec44031b) (Video)
65. [Rigid body motion V (fixed axis rotation) - some demonstrations of conservation of angular momentum about fixed axis](https://invisiblenetwork.ai/learn/nptel/115104094/e3c17533891a) (Video)
66. [Rigid body motion VI (fixed axis rotation) - Some more demonstrations and related problems](https://invisiblenetwork.ai/learn/nptel/115104094/59c45f47f987) (Video)
67. [Rigid body motion VII (fixed axis rotation) - Kinetic energy and moment of inertia for fixed axis rotation and some solved examples](https://invisiblenetwork.ai/learn/nptel/115104094/8a853485bad4) (Video)
68. [Rigid body motion VIII (fixed axis rotation) - solved examples for calculating moment of inertia and conservation of angular momentum](https://invisiblenetwork.ai/learn/nptel/115104094/ff8522fc926c) (Video)
69. [Rigid body motion –IX (fixed axis rotation): solved examples](https://invisiblenetwork.ai/learn/nptel/115104094/ba64cd6c1d72) (Video)
70. [Rigid body motion X - rotation and translation with axis moving parallel to itself](https://invisiblenetwork.ai/learn/nptel/115104094/51b47167172f) (Video)
71. [Rigid body motion XI - solved examples for rotation and translation with axis moving parallel to itself](https://invisiblenetwork.ai/learn/nptel/115104094/170ef6b585ee) (Video)
72. [Rigid-body dynamics XII - Some demonstrations on general motion of rigid bodies](https://invisiblenetwork.ai/learn/nptel/115104094/466b2dfe1c28) (Video)
73. [Rigid-body dynamics XIII - Infinitesimal angles as vector quantities and change of a vector when rotated by an infinitesimal angle](https://invisiblenetwork.ai/learn/nptel/115104094/8c0a3aa2c5c1) (Video)
74. [Rigid-body dynamics XIV - Angular velocity and the rate of change of a rotating vector; relating change in angular velocity to an applied torque](https://invisiblenetwork.ai/learn/nptel/115104094/4c4710bc6711) (Video)
75. [Rigid-body dynamics XV - Relationship between angular momentum and angular velocity – the moment of inertia tensor and the principal axes](https://invisiblenetwork.ai/learn/nptel/115104094/3073b43b5f22) (Video)
76. [Rigid-body dynamics XVI: Solved examples](https://invisiblenetwork.ai/learn/nptel/115104094/091e1a8de4d7) (Video)
77. [Rigid body motion XVII – A review of the relation between angular momentum and angular velocity, moment of inertia tensor and the principal axes Edit Lesson](https://invisiblenetwork.ai/learn/nptel/115104094/82ebc06d6ccb) (Video)
78. [Rigid body motion XVIII- Solved examples for calculating rate of change of angular momentum and torque when angular velocity and angular momentum are not parallel](https://invisiblenetwork.ai/learn/nptel/115104094/63a9ba67e361) (Video)
79. [Rigid body dynamics XIX: understanding demonstrations shown earlier using equation of motion](https://invisiblenetwork.ai/learn/nptel/115104094/90257baa7dfe) (Video)
80. [Rigid body dynamics XX - understanding demonstrations shown earlier using equation of motion (Euler equations)](https://invisiblenetwork.ai/learn/nptel/115104094/26d1fb0a0560) (Video)
81. [Rigid body dynamics XXI - Euler equations, solved examples](https://invisiblenetwork.ai/learn/nptel/115104094/539a310fa329) (Video)
82. [Simple harmonic motion I - expanding potential energy about the equilibrium point and the corresponding force](https://invisiblenetwork.ai/learn/nptel/115104094/a1b200497de6) (Video)
83. [Simple harmonic motion II : solving the equation of motion with given initial conditions](https://invisiblenetwork.ai/learn/nptel/115104094/87762962a065) (Video)
84. [Simple harmonic motion III - solved examples](https://invisiblenetwork.ai/learn/nptel/115104094/3274d029819d) (Video)
85. [Simple harmonic motion IV - representing simple harmonic motion on a phasor diagram; energy of an oscillator](https://invisiblenetwork.ai/learn/nptel/115104094/bfaed9410b09) (Video)
86. [Simple harmonic motion V- solved examples](https://invisiblenetwork.ai/learn/nptel/115104094/85be5e9e5ea0) (Video)
87. [Simple harmonic motion VI - solving the equation of motion with constant friction in the system](https://invisiblenetwork.ai/learn/nptel/115104094/59ecf8de585b) (Video)
88. [Simple harmonic motion VII - harmonic oscillator with velocity-dependent damping (heavy damping)](https://invisiblenetwork.ai/learn/nptel/115104094/26eeb467e459) (Video)
89. [Simple harmonic motion VIII - harmonic oscillator with velocity-dependent damping (critical damping)](https://invisiblenetwork.ai/learn/nptel/115104094/98512f585973) (Video)
90. [Simple harmonic motion IX- solved examples](https://invisiblenetwork.ai/learn/nptel/115104094/13e63503c28b) (Video)
91. [Simple harmonic motion X- harmonic oscillator with velocity-dependent damping (light damping)](https://invisiblenetwork.ai/learn/nptel/115104094/a36a5c403b1c) (Video)
92. [Simple harmonic motion XI- solved examples](https://invisiblenetwork.ai/learn/nptel/115104094/78f2cb2179a5) (Video)
93. [Simple harmonic motion XII - oscillations of an un-damped harmonic oscillator subjected to an oscillatory force](https://invisiblenetwork.ai/learn/nptel/115104094/8e87e6ce5bcc) (Video)
94. [Simple harmonic motion XIII - oscillations of a forced damped harmonic oscillator I](https://invisiblenetwork.ai/learn/nptel/115104094/f01d530bf0d9) (Video)
95. [Simple harmonic oscillator XIV: oscillations of a forced damped harmonic oscillator II](https://invisiblenetwork.ai/learn/nptel/115104094/eb5643d240a7) (Video)
96. [Simple harmonic oscillator XV: Energy and power in a forced damped harmonic oscillator](https://invisiblenetwork.ai/learn/nptel/115104094/4324cd1bf36b) (Video)
97. [Simple harmonic oscillator XVI: Solved examples](https://invisiblenetwork.ai/learn/nptel/115104094/9bc823109269) (Video)
98. [Equation of motion in a uniformly accelerating frame](https://invisiblenetwork.ai/learn/nptel/115104094/a027196a65c6) (Video)
99. [Motion described in a uniformly accelerating frame; solved examples -I](https://invisiblenetwork.ai/learn/nptel/115104094/29776517f200) (Video)
100. [Motion described in a uniformly accelerating frame; solved examples -II](https://invisiblenetwork.ai/learn/nptel/115104094/23f6c910e316) (Video)