Lecture 1 - Introduction to Vectors Lecture 2 - Addition and subtraction of vectors Lecture 3 - Multiplying vectors Lecture 4 - Introduction to vectors: solved examples - I Lecture 5 - Transformation of vectors under rotation Lecture 6 - Vector products and their geometric interpretation Lecture 7 - Vector Product: Kronecker Delta and Levi-Civita symbols - I Lecture 8 - Vector Product: Kronecker Delta and Levi-Civita symbols - II Lecture 9 - Introduction to vectors: solved examples - II Lecture 10 - Equilibrium of rigid bodies – Forces and torques Lecture 11 - Calculating torques and couple moments - I Lecture 12 - Calculating torques and couple moments - II Lecture 13 - Finding a force and a couple equivalent to an applied force Lecture 14 - Different elements and associated forces and torques - I Lecture 15 - Different elements and associated forces and torques - II Lecture 16 - Solved examples; equilibrium of bodies – I Lecture 17 - Solved examples; equilibrium of bodies – II Lecture 18 - Forces in different geometric configuration Lecture 19 - Plane trusses I - building a truss and condition for it to be statically determinate Lecture 20 - Plane trusses II - calculating forces in a simple truss and different types of trusses Lecture 21 - Plane trusses III - calculating forces in a simple truss by method of joints Lecture 22 - Plane trusses IV- Solved examples for calculating forces in a simple truss by method of joints Lecture 23 - Plane trusses V - Solved examples for calculating forces in a simple truss by method of joints Lecture 24 - Plane trusses VI - method of sections for calculating forces in a simple truss Lecture 25 - Dry friction I - introduction with an example Lecture 26 - Dry friction II - a solved example Lecture 27 - Dry friction III - Dry thrust bearing and belt friction with demonstration Lecture 28 - Dry friction IV - Screw friction and rolling friction Lecture 29 - Dry friction V - Solved examples Lecture 30 - Properties of plane surfaces I - First moment and centroid of an area Lecture 31 - Properties of plane surfaces II - Centroid of an area made by joining several plane surfaces Lecture 32 - Properties of plane surfaces III - Centroid of a distributed force and its relation with centre of gravity Lecture 33 - Properties of plane surfaces IV - solved examples of calculation of first moment and centroid of distributed forces Lecture 34 - Properties of plane surfaces V- Second moment and product of an area and radius of gyration Lecture 35 - Properties of plane surfaces VI - Parallel axis transfer theorem for second moment and product of an area Lecture 36 - Properties of plane surfaces VII - transformation of second moment and product of an area under rotation of coordinate axes Lecture 37 - Properties of plane surfaces VIII - second moment and product of an area, solved examples Lecture 38 - Method of virtual work I - degrees of freedom, constraints and constraint forces Lecture 39 - Method of virtual work II - virtual displacement, virtual work and equilibrium condition in terms of virtual work Lecture 40 - Method of virtual work III - solved examples Lecture 41 - Motion of a particle in a plane in terms of planar polar coordinates Lecture 42 - Planar polar coordinates: solved examples Lecture 43 - Description of motion in cylindrical and spherical coordinate systems Lecture 44 - Using planar polar, cylindrical and spherical coordinate systems: solved examples Lecture 45 - Motion with constraints, constraint forces and free body diagram Lecture 46 - Motion with constraints – solved examples Lecture 47 - Motion with dry friction – solved examples Lecture 48 - Motion with drag – solved examples Lecture 49 - Equation of motion in terms of linear momentum and the principle of conservation of linear momentum Lecture 50 - Linear momentum and centre of mass Lecture 51 - Momentum transfer, impulse and force due to a stream of particles hitting an object Lecture 52 - Momentum and the variable mass problem Lecture 53 - Linear momentum – solved examples Lecture 54 - Work and energy I - work energy theorem; conservative and non-conservative force fields Lecture 55 - Work and energy II - Definition of potential energy for conservative forces; total mechanical energy and the principle of conservation of energy Lecture 56 - Work and energy III - Two solved examples using conservation principles Lecture 57 - Work and energy IV – Further discussion on potential energy Lecture 58 - Work and energy V - Solved examples Lecture 59 - Work and energy VI – Applying conservation principles to solve a collision problem Lecture 60 - Work and energy VII - Solved examples Lecture 61 - Rigid body motion I - degrees of freedom and number of variables required to describe motion of a rigid body Lecture 62 - Rigid body motion II - Equation of motion for a single particle in terms of angular momentum and torque; motion of a conical pendulum Lecture 63 - Rigid body motion III - Conservation of angular momentum; angular momentum for a collection of particles Lecture 64 - Rigid body motion IV - applying angular momentum conservation, a solved example Lecture 65 - Rigid body motion V (fixed axis rotation) - some demonstrations of conservation of angular momentum about fixed axis Lecture 66 - Rigid body motion VI (fixed axis rotation) - Some more demonstrations and related problems Lecture 67 - Rigid body motion VII (fixed axis rotation) - Kinetic energy and moment of inertia for fixed axis rotation and some solved examples Lecture 68 - Rigid body motion VIII (fixed axis rotation) - solved examples for calculating moment of inertia and conservation of angular momentum Lecture 69 - Rigid body motion IX (fixed axis rotation) - solved examples Lecture 70 - Rigid body motion X - rotation and translation with axis moving parallel to itself Lecture 71 - Rigid body motion XI - solved examples for rotation and translation with axis moving parallel to itself Lecture 72 - Rigid-body dynamics XII - Some demonstrations on general motion of rigid bodies Lecture 73 - Rigid-body dynamics XIII - Infinitesimal angles as vector quantities and change of a vector when rotated by an infinitesimal angle Lecture 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 Lecture 75 - Rigid-body dynamics XV - Relationship between angular momentum and angular velocity – the moment of inertia tensor and the principal axes Lecture 76 - Rigid-body dynamics XVI - Solved examples Lecture 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 Lecture 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 Lecture 79 - Rigid body dynamics XIX - understanding demonstrations shown earlier using equation of motion Lecture 80 - Rigid body dynamics XX - understanding demonstrations shown earlier using equation of motion (Euler equations) Lecture 81 - Rigid body dynamics XXI - Euler equations, solved examples Lecture 82 - Simple harmonic motion I - expanding potential energy about the equilibrium point and the corresponding force Lecture 83 - Simple harmonic motion II - solving the equation of motion with given initial conditions Lecture 84 - Simple harmonic motion III - solved examples Lecture 85 - Simple harmonic motion IV - representing simple harmonic motion on a phasor diagram; energy of an oscillator Lecture 86 - Simple harmonic motion V - solved examples Lecture 87 - Simple harmonic motion VI - solving the equation of motion with constant friction in the system Lecture 88 - Simple harmonic motion VII - harmonic oscillator with velocity-dependent damping (heavy damping) Lecture 89 - Simple harmonic motion VIII - harmonic oscillator with velocity-dependent damping (critical damping) Lecture 90 - Simple harmonic motion IX - solved examples Lecture 91 - Simple harmonic motion X - harmonic oscillator with velocity-dependent damping (light damping) Lecture 92 - Simple harmonic motion XI - solved examples Lecture 93 - Simple harmonic motion XII - oscillations of an un-damped harmonic oscillator subjected to an oscillatory force Lecture 94 - Simple harmonic motion XIII - oscillations of a forced damped harmonic oscillator - I Lecture 95 - Simple harmonic oscillator XIV - oscillations of a forced damped harmonic oscillator - II Lecture 96 - Simple harmonic oscillator XV - Energy and power in a forced damped harmonic oscillator Lecture 97 - Simple harmonic oscillator XVI - Solved examples Lecture 98 - Equation of motion in a uniformly accelerating frame Lecture 99 - Motion described in a uniformly accelerating frame; solved examples - I Lecture 100 - Motion described in a uniformly accelerating frame; solved examples - II