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Course115104094100 lectures

Engineering Mechanics

Prof. Manoj Harbola · IIT Kanpur

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Lectures

Week1 Lectures

  1. Introduction to Vectors Video
  2. Addition and subtraction of vectors Video
  3. Multiplying vectors Video
  4. Introduction to vectors: solved examples I Video
  5. Transformation of vectors under rotation Video
  6. Vector products and their geometric interpretation Video
  7. Vector Product: Kronecker Delta and Levi-Civita symbols-I Video
  8. Vector Product: Kronecker Delta and Levi-Civita symbols-II Video
  9. Introduction to vectors: solved examples II Video
  10. Equilibrium of rigid bodies – Forces and torques Video
  11. Calculating torques and couple moments-I Video
  12. Calculating torques and couple moments-II Video
  13. Finding a force and a couple equivalent to an applied force Video

Week2 Lectures

  1. Different elements and associated forces and torques-I Video
  2. Different elements and associated forces and torques - II Video
  3. Solved examples; equilibrium of bodies – I Video
  4. Solved examples; equilibrium of bodies – II Video
  5. Forces in different geometric configuration Video
  6. Plane trusses I - building a truss and condition for it to be statically determinate Video
  7. Plane trusses II - calculating forces in a simple truss and different types of trusses Video
  8. Plane trusses III - calculating forces in a simple truss by method of joints Video
  9. Plane trusses IV- Solved examples for calculating forces in a simple truss by method of joints Video
  10. Plane trusses V - Solved examples for calculating forces in a simple truss by method of joints Video
  11. Plane trusses VI: method of sections for calculating forces in a simple truss Video

Week3 Lectures

  1. Dry friction I - introduction with an example Video
  2. Dry friction II - a solved example Video
  3. Dry friction III - Dry thrust bearing and belt friction with demonstration Video
  4. Dry friction IV - Screw friction and rolling friction Video
  5. Dry friction V: Solved examples Video
  6. Properties of plane surfaces I - First moment and centroid of an area Video
  7. Properties of plane surfaces II - Centroid of an area made by joining several plane surfaces Video
  8. Properties of plane surfaces III - Centroid of a distributed force and its relation with centre of gravity Video
  9. Properties of plane surfaces IV - solved examples of calculation of first moment and centroid of distributed forces Video

Week4 Lectures

  1. Properties of plane surfaces V- Second moment and product of an area and radius of gyration Video
  2. Properties of plane surfaces VI - Parallel axis transfer theorem for second moment and product of an area Video
  3. Properties of plane surfaces VII - transformation of second moment and product of an area under rotation of coordinate axes Video
  4. Properties of plane surfaces VIII - second moment and product of an area, solved examples Video
  5. Method of virtual work I - degrees of freedom, constraints and constraint forces Video
  6. Method of virtual work II - virtual displacement, virtual work and equilibrium condition in terms of virtual work Video
  7. Method of virtual work III - solved examples Video

Week5 Lectures

  1. Motion of a particle in a plane in terms of planar polar coordinates Video
  2. Planar polar coordinates: solved examples Video
  3. Description of motion in cylindrical and spherical coordinate systems Video
  4. Using planar polar, cylindrical and spherical coordinate systems: solved examples Video
  5. Motion with constraints, constraint forces and free body diagram Video
  6. Motion with constraints – solved examples Video
  7. Motion with dry friction – solved examples Video

Week6 Lectures

  1. Motion with drag – solved examples Video
  2. Equation of motion in terms of linear momentum and the principle of conservation of linear momentum Video
  3. Linear momentum and centre of mass Video
  4. Momentum transfer, impulse and force due to a stream of particles hitting an object Video
  5. Momentum and the variable mass problem Video
  6. Linear momentum – solved examples Video
  7. Work and energy I - work energy theorem; conservative and non-conservative force fields Video
  8. Work and energy II - Definition of potential energy for conservative forces; total mechanical energy and the principle of conservation of energy Video
  9. Work and energy III - Two solved examples using conservation principles Video

Week7 Lectures

  1. Work and energy IV – Further discussion on potential energy Video
  2. Work and energy V - Solved examples Video
  3. Work and energy VI – Applying conservation principles to solve a collision problem Video
  4. Work and energy VII - Solved examples Video
  5. Rigid body motion I - degrees of freedom and number of variables required to describe motion of a rigid body Video
  6. Rigid body motion II - Equation of motion for a single particle in terms of angular momentum and torque; motion of a conical pendulum Video
  7. Rigid body motion III - Conservation of angular momentum; angular momentum for a collection of particles Video
  8. Rigid body motion IV - applying angular momentum conservation, a solved example Video
  9. Rigid body motion V (fixed axis rotation) - some demonstrations of conservation of angular momentum about fixed axis Video
  10. Rigid body motion VI (fixed axis rotation) - Some more demonstrations and related problems Video

Week8 Lectures

  1. Rigid body motion VII (fixed axis rotation) - Kinetic energy and moment of inertia for fixed axis rotation and some solved examples Video
  2. Rigid body motion VIII (fixed axis rotation) - solved examples for calculating moment of inertia and conservation of angular momentum Video
  3. Rigid body motion –IX (fixed axis rotation): solved examples Video
  4. Rigid body motion X - rotation and translation with axis moving parallel to itself Video
  5. Rigid body motion XI - solved examples for rotation and translation with axis moving parallel to itself Video
  6. Rigid-body dynamics XII - Some demonstrations on general motion of rigid bodies Video
  7. Rigid-body dynamics XIII - Infinitesimal angles as vector quantities and change of a vector when rotated by an infinitesimal angle Video
  8. Rigid-body dynamics XIV - Angular velocity and the rate of change of a rotating vector; relating change in angular velocity to an applied torque Video
  9. Rigid-body dynamics XV - Relationship between angular momentum and angular velocity – the moment of inertia tensor and the principal axes Video
  10. Rigid-body dynamics XVI: Solved examples Video

Week9 Lectures

  1. Rigid body motion XVII – A review of the relation between angular momentum and angular velocity, moment of inertia tensor and the principal axes Edit Lesson Video
  2. Rigid body motion XVIII- Solved examples for calculating rate of change of angular momentum and torque when angular velocity and angular momentum are not parallel Video
  3. Rigid body dynamics XIX: understanding demonstrations shown earlier using equation of motion Video
  4. Rigid body dynamics XX - understanding demonstrations shown earlier using equation of motion (Euler equations) Video
  5. Rigid body dynamics XXI - Euler equations, solved examples Video
  6. Simple harmonic motion I - expanding potential energy about the equilibrium point and the corresponding force Video
  7. Simple harmonic motion II : solving the equation of motion with given initial conditions Video

Week10 Lectures

  1. Simple harmonic motion III - solved examples Video
  2. Simple harmonic motion IV - representing simple harmonic motion on a phasor diagram; energy of an oscillator Video
  3. Simple harmonic motion V- solved examples Video
  4. Simple harmonic motion VI - solving the equation of motion with constant friction in the system Video
  5. Simple harmonic motion VII - harmonic oscillator with velocity-dependent damping (heavy damping) Video
  6. Simple harmonic motion VIII - harmonic oscillator with velocity-dependent damping (critical damping) Video
  7. Simple harmonic motion IX- solved examples Video
  8. Simple harmonic motion X- harmonic oscillator with velocity-dependent damping (light damping) Video
  9. Simple harmonic motion XI- solved examples Video

Week11 Lectures

  1. Simple harmonic motion XII - oscillations of an un-damped harmonic oscillator subjected to an oscillatory force Video
  2. Simple harmonic motion XIII - oscillations of a forced damped harmonic oscillator I Video
  3. Simple harmonic oscillator XIV: oscillations of a forced damped harmonic oscillator II Video
  4. Simple harmonic oscillator XV: Energy and power in a forced damped harmonic oscillator Video
  5. Simple harmonic oscillator XVI: Solved examples Video
  6. Equation of motion in a uniformly accelerating frame Video
  7. Motion described in a uniformly accelerating frame; solved examples -I Video
  8. Motion described in a uniformly accelerating frame; solved examples -II Video

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Kanpur
Department
Physics
Teacher
Prof. Manoj Harbola
Level
Undergraduate
Language
English
Subjects
Physics
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
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