# InfoCoBuild

## Engineering Mechanics

Engineering Mechanics. Instructor: Professor Manoj K Harbola, Department of Physics, IIT Kanpur. In this course, we would be studying mechanical interaction between different bodies when they interact through the forces applied on each other. Topics covered in this course include Review of Newton's laws of motion and vector algebra; Equilibrium of bodies; Plane trusses; Friction; Properties of plane surfaces; Method of virtual work; Motion of particles; Momentum; Work and energy; Rotational kinematics and dynamics; Simple harmonic oscillator; and Motion in non-inertial frames. (from nptel.ac.in)

 Introduction to Vectors

 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

 References Engineering Mechanics Instructor: Professor Manoj K Harbola, Department of Physics, IIT Kanpur. In this course, we would be studying mechanical interaction between different bodies when they interact through the forces applied on each other.