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Last updated:
September 23, 2023
Duration:
Unlimited Duration
FREE
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 noninertial 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: KroneckerDelta and LeviCivita Symbols Unlimited
 Lecture 08 – Vector Product: KroneckerDelta and LeviCivita 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 Nonconservative 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 VelocityDependent Damping (Heavy Damping) Unlimited
 Lecture 89 – Harmonic Oscillator with VelocityDependent Damping (Critical Damping) Unlimited
 Lecture 90 – Simple Harmonic Oscillator – Solved Examples Unlimited
 Lecture 91 – Harmonic Oscillator with VelocityDependent 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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