**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 |