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Last updated:

September 23, 2023

Duration:

Unlimited Duration

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This course includes:

Unlimited Duration

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Description

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)

Course Curriculum

    • Lecture 01 – Introduction to Vectors Unlimited
    • Lecture 02 – Addition and Subtraction of Vectors Unlimited
    • Lecture 03 – Multiplying Vectors Unlimited
    • Lecture 04 – Introduction to Vectors: Solved Examples I Unlimited
    • Lecture 05 – Transformation of Vectors under Rotation Unlimited
    • Lecture 06 – Vector Products and their Geometric Interpretation Unlimited
    • Lecture 07 – Vector Product: Kronecker-Delta and Levi-Civita Symbols Unlimited
    • Lecture 08 – Vector Product: Kronecker-Delta and Levi-Civita Symbols (cont.) Unlimited
    • Lecture 09 – Introduction to Vectors: Solved Examples II Unlimited
    • Lecture 10 – Equilibrium of Rigid Bodies – Forces and Torques Unlimited
    • Lecture 11 – Calculating Torques and Couple Moments Unlimited
    • Lecture 12 – Calculating Torques and Couple Moments (cont.) Unlimited
    • Lecture 13 – Finding a Force and a Couple Equivalent to an Applied Force Unlimited
    • Lecture 14 – Different Elements and Associated Forces and Torques Unlimited
    • Lecture 15 – Different Elements and Associated Forces and Torques (cont.) Unlimited
    • Lecture 16 – Solved Examples; Equilibrium of Bodies I Unlimited
    • Lecture 17 – Solved Examples; Equilibrium of Bodies II Unlimited
    • Lecture 18 – Forces in Different Geometric Configuration Unlimited
    • Lecture 19 – Plane Trusses: Building a Truss Unlimited
    • Lecture 20 – Plane Trusses: Calculating Forces in a Simple Truss and Different Types of Trusses Unlimited
    • Lecture 21 – Plane Trusses: Calculating Forces in a Simple Truss by Method of Joints Unlimited
    • Lecture 22 – Solved Examples for Calculating Forces in a Simple Truss by Method of Joints Unlimited
    • Lecture 23 – Solved Examples for Calculating Forces in a Simple Truss by Method of Joints (cont.) Unlimited
    • Lecture 24 – Plane Trusses: Method of Selection for Calculating Forces in a Simple Truss Unlimited
    • Lecture 25 – Dry Friction: Introduction with an Example Unlimited
    • Lecture 26 – Dry Friction: A Solved Example Unlimited
    • Lecture 27 – Dry Friction: Dry Thrust Bearing and Belt Friction with Demonstration Unlimited
    • Lecture 28 – Dry Friction: Screw Friction and Rolling Friction Unlimited
    • Lecture 29 – Dry Friction: Solved Examples Unlimited
    • Lecture 30 – Properties of Plane Surfaces: First Moment and Centroid of an Area Unlimited
    • Lecture 31 – Centroid of an Area Made by Joining Several Plane Surfaces Unlimited
    • Lecture 32 – Centroid of a Distributed Force and its Relation with Centre of Gravity Unlimited
    • Lecture 33 – Solved Examples of Calculation of First Moment and Centroid of Distributed Forces Unlimited
    • Lecture 34 – Second Moment and Product of an Area and Radius of Gyration Unlimited
    • Lecture 35 – Parallel Axis Transfer Theorem for Second Moment and Product of an Area Unlimited
    • Lecture 36 – Transformation of Second Moment and Product of an Area under Rotation of … Unlimited
    • Lecture 37 – Second Moment and Product of an Area, Solved Examples Unlimited
    • Lecture 38 – Degrees of Freedom, Constraints and Constraint Forces Unlimited
    • Lecture 39 – Virtual Displacement, Virtual Work and Equilibrium Condition Unlimited
    • Lecture 40 – Method of Virtual Work: Solved Examples Unlimited
    • Lecture 41 – Motion of a Particle in a Plane in terms of Planar Polar Coordinates Unlimited
    • Lecture 42 – Planar Polar Coordinates: Solved Examples Unlimited
    • Lecture 43 – Description of Motion in Cylindrical and Spherical Coordinate Systems Unlimited
    • Lecture 44 – Using Planar Polar, Cylindrical and Spherical Coordinate Systems: Solved Examples Unlimited
    • Lecture 45 – Motion with Constraints, Constraint Forces and Free Body Diagram Unlimited
    • Lecture 46 – Motion with Constraints – Solved Examples Unlimited
    • Lecture 47 – Motion with Constraints – Solved Examples (cont.) Unlimited
    • Lecture 48 – Motion with Constraints – Solved Examples (cont.) Unlimited
    • Lecture 49 – Equation of Motion in terms of Linear Momentum and the Principle of … Unlimited
    • Lecture 50 – Linear Momentum and Centre of Mass Unlimited
    • Lecture 51 – Momentum Transfer, Impulse and Force due to a Stream of Particles Hitting … Unlimited
    • Lecture 52 – Momentum and the Variable Mass Problem Unlimited
    • Lecture 53 – Linear Momentum – Solved Examples Unlimited
    • Lecture 54 – Work Energy Theorem; Conservative and Non-conservative Force Fields Unlimited
    • Lecture 55 – Definition of Potential Energy for Conservative Forces; Total Mechanical Energy and … Unlimited
    • Lecture 56 – Work and Energy Two Solved Examples using Conservation Principles Unlimited
    • Lecture 57 – Further Discussion on Potential Energy Unlimited
    • Lecture 58 – Work and Energy – Solved Examples Unlimited
    • Lecture 59 – Applying Conservation Principles to Solve a Collision Problem Unlimited
    • Lecture 60 – Work and Energy – Solved Examples Unlimited
    • Lecture 61 – Degrees of Freedom and Number of Variables Required to Describe Motion of … Unlimited
    • Lecture 62 – Equation of Motion for a Single Particle in terms of Angular Momentum and … Unlimited
    • Lecture 63 – Conservation of Angular Momentum; Angular Momentum for a Collection of Particles Unlimited
    • Lecture 64 – Applying Angular Momentum Conservation, a Solved Example Unlimited
    • Lecture 65 – Some Demonstrations of Conservation of Angular Momentum about Fixed Axis Unlimited
    • Lecture 66 – Some More Demonstrations and Related Problems Unlimited
    • Lecture 67 – Kinetic Energy and Moment of Inertia for Fixed Axis Rotation Unlimited
    • Lecture 68 – Solved Examples for Calculating Moment of Inertia and Conservation of … Unlimited
    • Lecture 69 – Rigid Body Motion: Fixed Axis Rotation – Solved Examples Unlimited
    • Lecture 70 – Rotation and Translation with Axis Moving Parallel to Itself Unlimited
    • Lecture 71 – Solved Examples for Rotation and Translation with Axis Moving Parallel to Itself Unlimited
    • Lecture 72 – Some Demonstrations on General Motion of Rigid Bodies Unlimited
    • Lecture 73 – Infinitesimal Angles as Vector Quantities and Change of a Vector when Rotated … Unlimited
    • Lecture 74 – Angular Velocity and the Rate of Change of a Rotating Vector Unlimited
    • Lecture 75 – Relationship between Angular Momentum and Angular Velocity Unlimited
    • Lecture 76 – Rigid Body Dynamics – Solved Examples Unlimited
    • Lecture 77 – A Review of the Relation between Angular Momentum and Angular Velocity Unlimited
    • Lecture 78 – Solved Examples for Calculating Rate of Change of Angular Momentum and Torque Unlimited
    • Lecture 79 – Understanding Demonstrations Shown Earlier using Equation of Motion Unlimited
    • Lecture 80 – Understanding Demonstrations Shown Earlier using Equation of Motion Unlimited
    • Lecture 81 – Euler Equations, Solved Examples Unlimited
    • Lecture 82 – Expanding Potential Energy about the Equilibrium Point and the Corresponding Force Unlimited
    • Lecture 83 – Solving the Equation of Motion with Given Initial Conditions Unlimited
    • Lecture 84 – Simple Harmonic Oscillator – Solved Examples Unlimited
    • Lecture 85 – Representing Simple Harmonic Motion on a Phasor Diagram; Energy of an Oscillator Unlimited
    • Lecture 86 – Simple Harmonic Oscillator – Solved Examples Unlimited
    • Lecture 87 – Solving the Equation of the Motion with Constant Friction in the System Unlimited
    • Lecture 88 – Harmonic Oscillator with Velocity-Dependent Damping (Heavy Damping) Unlimited
    • Lecture 89 – Harmonic Oscillator with Velocity-Dependent Damping (Critical Damping) Unlimited
    • Lecture 90 – Simple Harmonic Oscillator – Solved Examples Unlimited
    • Lecture 91 – Harmonic Oscillator with Velocity-Dependent Damping (Light Damping) Unlimited
    • Lecture 92 – Simple Harmonic Oscillator – Solved Examples (Light Damping) Unlimited
    • Lecture 93 – Oscillations of an Undamped Harmonic Oscillator Subjected to an Oscillatory Force Unlimited
    • Lecture 94 – Oscillations of a Forced Damped Harmonic Oscillator Unlimited
    • Lecture 95 – Oscillations of a Forced Damped Harmonic Oscillator (cont.) Unlimited
    • Lecture 96 – Energy and Power in a Forced Damped Harmonic Oscillator Unlimited
    • Lecture 97 – Solved Examples (Forced Damped Harmonic Oscillator) Unlimited
    • Lecture 98 – Equation of Motion in a Uniformly Accelerating Frame Unlimited
    • Lecture 99 – Equation of Motion in a Uniformly Accelerating Frame; Solved Examples I Unlimited
    • Lecture 100 – Equation of Motion in a Uniformly Accelerating Frame; Solved Examples II Unlimited

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