1 Introduction to Vectors
2 Addition and subtraction of vectors
3 Multiplying vectors
4 Introduction to vectors: solved examples I
5 Transformation of vectors under rotation
6 Vector products and their geometric interpretation
7 Vector Product: Kronecker Delta and Levi-Civita symbols-I
8 Vector Product: Kronecker Delta and Levi-Civita symbols-II
9 Introduction to vectors: solved examples II
10 Equilibrium of rigid bodies – Forces and torques
11 Calculating torques and couple moments - I
12 Calculating torques and couple moments - II
13 Finding a force and a couple equivalent to an applied force
14 Different elements and associated forces and torques - I
15 Different elements and associated forces and torques - II
16 Solved examples; equilibrium of bodies – I
17 Solved examples; equilibrium of bodies – II
18 Forces in different geometric configurations
19 Plane trusses I - Building a truss and condition for it to be statically determinate
20 Plane trusses II - Calculating forces in a simple truss and different types of trusses
21 Plane trusses III - Calculating forces in a simple truss by method of joints
22 Plane trusses IV - Solved examples for calculating forces in a simple truss by method of joints
23 Plane trusses V - Solved examples for calculating forces in a simple truss by method of joints
24 Plane trusses VI: Method of sections for calculating forces in a simple truss
25 Dry friction I - introduction with an example
26 Dry friction II - a solved example
27 Dry friction III - Dry thrust bearing and belt friction with demonstration
28 Dry friction IV - Screw friction and rolling friction
29 Dry friction V: Solved examples
30 Properties of plane surfaces I - First moment and centroid of an area
31 Properties of plane surfaces II - Centroid of an area made by joining several plane surfaces
32 Properties of plane surfaces III - Centroid of a distributed force and its relation with centre...
33 Properties of plane surfaces IV - solved examples of calculation of first moment and centroid...
34 Properties of plane surfaces V- Second moment and product of an area and radius of gyration
35 Properties of plane surfaces VI - Parallel axis transfer theorem for second moment and product of an
36 Properties of plane surfaces VII - transformation of second moment and product of an area under rota
37 Properties of plane surfaces VIII - second moment and product of an area, solved examples
38 Method of virtual work I - degrees of freedom, constraints and constraint forces
39 Method of virtual work II - virtual displacement, virtual work and equilibrium condition in terms of
40 Method of virtual work III - solved examples
41 Motion of a particle in a plane in terms of planar polar coordinates
42 Planar polar coordinates: solved examples
43 Description of motion in cylindrical and spherical coordinate systems
44 Using planar polar, cylindrical and spherical coordinate systems: solved examples
45 Motion with constraints, constraint forces and free body diagram
46 Motion with constraints – solved examples
47 Motion with dry friction – solved examples
48 Motion with drag – solved examples
49 Equation of motion in terms of linear momentum and the principle of conservation of linear momentum
50 Linear momentum and centre of mass
51 Momentum transfer, impulse and force due to a stream of particles hitting an object
52 Momentum and the variable mass problem
53 Linear momentum – solved examples
54 Work and energy I - work energy theorem; conservative and non-conservative force fields
55 Work and energy II - Definition of potential energy for conservative forces; total mechanical energy
56 Work and energy III - Two solved examples using conservation principles
57 Work and energy IV – Further discussion on potential energy
58 Work and energy V - Solved examples
59 Work and energy VI – Applying conservation principles to solve a collision problem
60 Work and energy VII - Solved examples
61 Rigid body motion I - degrees of freedom and number of variables required to describe motion of a ri
62 Rigid body motion II - Equation of motion for a single particle in terms of angular momentum and tor
63 Rigid body motion III - Conservation of angular momentum; angular momentum for a collection of parti
64 Rigid body motion IV - applying angular momentum conservation, a solved example
65 Rigid body motion V (fixed axis rotation) - some demonstrations of conservation of angular momentum
66 Rigid body motion VI (fixed axis rotation) - Some more demonstrations and related problems
67 Rigid body motion VII (fixed axis rotation) - Kinetic energy and moment of inertia for fixed axis ro
68 Rigid body motion VIII (fixed axis rotation) - solved examples for calculating moment of inertia and
69 Rigid body motion –IX (fixed axis rotation): solved examples
70 Rigid body motion X - rotation and translation with axis moving parallel to itself
71 Rigid body motion XI - solved examples for rotation and translation with axis moving parallel to its
72 Rigid-body dynamics XII - Some demonstrations on general motion of rigid bodies
73 Rigid-body dynamics XIII - Infinitesimal angles as vector quantities and change of a vector when rot
74 Rigid-body dynamics XIV - Angular velocity and the rate of change of a rotating vector; relating cha
75 Rigid-body dynamics XV - Relationship between angular momentum and angular velocity – the moment of
76 Rigid-body dynamics XVI: Solved examples
77 Rigid body motion XVII – A review of the relation between angular momentum and angular velocity, mom
78 Rigid body motion XVIII- Solved examples for calculating rate of change of angular momentum and torq
79 Rigid body dynamics XIX: understanding demonstrations shown earlier using equation of motion
80 Rigid body dynamics XX - understanding demonstrations shown earlier using equation of motion (Euler
81 Rigid body dynamics XXI - Euler equations, solved examples
82 Simple harmonic motion I - expanding potential energy about the equilibrium point and the correspond
83 Simple harmonic motion II : solving the equation of motion with given initial conditions
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