| Review of Newton's Laws of Motion and Vector Algebra |
| Lecture 01 - Introduction to Vectors |
| Lecture 02 - Addition and Subtraction of Vectors |
| Lecture 03 - Multiplying Vectors |
| Lecture 04 - Introduction to Vectors: Solved Examples I |
| Lecture 05 - Transformation of Vectors under Rotation |
| Lecture 06 - Vector Products and their Geometric Interpretation |
| Lecture 07 - Vector Product: Kronecker-Delta and Levi-Civita Symbols |
| Lecture 08 - Vector Product: Kronecker-Delta and Levi-Civita Symbols (cont.) |
| Lecture 09 - Introduction to Vectors: Solved Examples II |
| Equilibrium of Rigid Bodies |
| Lecture 10 - Equilibrium of Rigid Bodies - Forces and Torques |
| Lecture 11 - Calculating Torques and Couple Moments |
| Lecture 12 - Calculating Torques and Couple Moments (cont.) |
| Lecture 13 - Finding a Force and a Couple Equivalent to an Applied Force |
| Lecture 14 - Different Elements and Associated Forces and Torques |
| Lecture 15 - Different Elements and Associated Forces and Torques (cont.) |
| Lecture 16 - Solved Examples; Equilibrium of Bodies I |
| Lecture 17 - Solved Examples; Equilibrium of Bodies II |
| Lecture 18 - Forces in Different Geometric Configuration |
| Plane Trusses |
| Lecture 19 - Plane Trusses: Building a Truss |
| Lecture 20 - Plane Trusses: Calculating Forces in a Simple Truss and Different Types of Trusses |
| Lecture 21 - Plane Trusses: Calculating Forces in a Simple Truss by Method of Joints |
| Lecture 22 - Solved Examples for Calculating Forces in a Simple Truss by Method of Joints |
| Lecture 23 - Solved Examples for Calculating Forces in a Simple Truss by Method of Joints (cont.) |
| Lecture 24 - Plane Trusses: Method of Selection for Calculating Forces in a Simple Truss |
| Friction |
| Lecture 25 - Dry Friction: Introduction with an Example |
| Lecture 26 - Dry Friction: A Solved Example |
| Lecture 27 - Dry Friction: Dry Thrust Bearing and Belt Friction with Demonstration |
| Lecture 28 - Dry Friction: Screw Friction and Rolling Friction |
| Lecture 29 - Dry Friction: Solved Examples |
| Properties of Plane Surfaces |
| Lecture 30 - Properties of Plane Surfaces: First Moment and Centroid of an Area |
| Lecture 31 - Centroid of an Area Made by Joining Several Plane Surfaces |
| Lecture 32 - Centroid of a Distributed Force and its Relation with Centre of Gravity |
| Lecture 33 - Solved Examples of Calculation of First Moment and Centroid of Distributed Forces |
| Lecture 34 - Second Moment and Product of an Area and Radius of Gyration |
| Lecture 35 - Parallel Axis Transfer Theorem for Second Moment and Product of an Area |
| Lecture 36 - Transformation of Second Moment and Product of an Area under Rotation of Coordinate Axes |
| Lecture 37 - Second Moment and Product of an Area, Solved Examples |
| Method of Virtual Work |
| Lecture 38 - Degrees of Freedom, Constraints and Constraint Forces |
| Lecture 39 - Virtual Displacement, Virtual Work and Equilibrium Condition in Terms of Virtual Work |
| Lecture 40 - Method of Virtual Work: Solved Examples |
| Motion of Particles |
| 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 Constraints - Solved Examples (cont.) |
| Lecture 48 - Motion with Constraints - Solved Examples (cont.) |
| Momentum |
| 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 |
| Work and Energy |
| Lecture 54 - Work Energy Theorem; Conservative and Non-conservative Force Fields |
| Lecture 55 - Definition of Potential Energy for Conservative Forces; Total Mechanical Energy and the Principle of Conservation Energy |
| Lecture 56 - Work and Energy Two Solved Examples using Conservation Principles |
| Lecture 57 - Further Discussion on Potential Energy |
| Lecture 58 - Work and Energy - Solved Examples |
| Lecture 59 - Applying Conservation Principles to Solve a Collision Problem |
| Lecture 60 - Work and Energy - Solved Examples |
| Rigid Body Motion |
| Lecture 61 - Degrees of Freedom and Number of Variables Required to Describe Motion of a Rigid Body |
| Lecture 62 - Equation of Motion for a Single Particle in terms of Angular Momentum and Torque; Motion of a Conical Pendulum |
| Lecture 63 - Conservation of Angular Momentum; Angular Momentum for a Collection of Particles |
| Lecture 64 - Applying Angular Momentum Conservation, a Solved Example |
| Rigid Body Motion (Fixed Axis Rotation) |
| Lecture 65 - Some Demonstrations of Conservation of Angular Momentum about Fixed Axis |
| Lecture 66 - Some More Demonstrations and Related Problems |
| Lecture 67 - Kinetic Energy and Moment of Inertia for Fixed Axis Rotation and Some Solved Examples |
| Lecture 68 - Solved Examples for Calculating Moment of Inertia and Conservation of Angular Momentum |
| Lecture 69 - Rigid Body Motion: Fixed Axis Rotation - Solved Examples |
| Lecture 70 - Rotation and Translation with Axis Moving Parallel to Itself |
| Lecture 71 - Solved Examples for Rotation and Translation with Axis Moving Parallel to Itself |
| Rigid Body Dynamics |
| Lecture 72 - Some Demonstrations on General Motion of Rigid Bodies |
| Lecture 73 - Infinitesimal Angles as Vector Quantities and Change of a Vector when Rotated by an Infinitesimal Angle |
| Lecture 74 - Angular Velocity and the Rate of Change of a Rotating Vector; Relating Change in Angular Velocity to an Applied Torque |
| Lecture 75 - Relationship between Angular Momentum and Angular Velocity |
| Lecture 76 - Rigid Body Dynamics - Solved Examples |
| Lecture 77 - A Review of the Relation between Angular Momentum and Angular Velocity |
| Lecture 78 - Solved Examples for Calculating Rate of Change of Angular Momentum and Torque |
| Lecture 79 - Understanding Demonstrations Shown Earlier using Equation of Motion |
| Lecture 80 - Understanding Demonstrations Shown Earlier using Equation of Motion: Euler Equations |
| Lecture 81 - Euler Equations, Solved Examples |
| Simple Harmonic Oscillator |
| Lecture 82 - Expanding Potential Energy about the Equilibrium Point and the Corresponding Force |
| Lecture 83 - Solving the Equation of Motion with Given Initial Conditions |
| Lecture 84 - Simple Harmonic Oscillator - Solved Examples |
| Lecture 85 - Representing Simple Harmonic Motion on a Phasor Diagram; Energy of an Oscillator |
| Lecture 86 - Simple Harmonic Oscillator - Solved Examples |
| Lecture 87 - Solving the Equation of the Motion with Constant Friction in the System |
| Lecture 88 - Harmonic Oscillator with Velocity-Dependent Damping (Heavy Damping) |
| Lecture 89 - Harmonic Oscillator with Velocity-Dependent Damping (Critical Damping) |
| Lecture 90 - Simple Harmonic Oscillator - Solved Examples |
| Lecture 91 - Harmonic Oscillator with Velocity-Dependent Damping (Light Damping) |
| Lecture 92 - Simple Harmonic Oscillator - Solved Examples (Light Damping) |
| Lecture 93 - Oscillations of an Undamped Harmonic Oscillator Subjected to an Oscillatory Force |
| Lecture 94 - Oscillations of a Forced Damped Harmonic Oscillator |
| Lecture 95 - Oscillations of a Forced Damped Harmonic Oscillator (cont.) |
| Lecture 96 - Energy and Power in a Forced Damped Harmonic Oscillator |
| Lecture 97 - Solved Examples (Forced Damped Harmonic Oscillator) |
| Motion in Non-inertial Frames |
| Lecture 98 - Equation of Motion in a Uniformly Accelerating Frame |
| Lecture 99 - Equation of Motion in a Uniformly Accelerating Frame; Solved Examples I |
| Lecture 100 - Equation of Motion in a Uniformly Accelerating Frame; Solved Examples II |