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Mechanics

Prof. Anjani Kumar Tiwari · IIT Roorkee

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About

This course covers the basic principles of mechanics. The course discusses the free body diagram, equilibrium of rigid bodies, analysis of trusses, beams, cables, virtual work, the motion of particles and rigid bodies, conservation laws, the moment of inertia, the principle of work energy, and general plane motions.

Intended audience: Undergraduate students

Prerequisites: Any 12th pass students (in science stream) can do this course. There are no prerequisite courses.

Lectures

Week 1

  1. Course outline Video
  2. Vectorial representation of forces and moments Video
  3. Couple moment and reduction of a force system to a force and a couple Video
  4. Examples of couple moment Video
  5. Examples: Moment in three dimensions Video

Week 2

  1. Free body diagram and support reactions Video
  2. Equilibrium of rigid bodies in two and three dimensions Video
  3. Examples: Equilibrium of rigid bodies in two dimensions Video
  4. Examples: Equilibrium of rigid bodies in three dimensions Video
  5. Beams and distributed loads Video

Week 3

  1. Flexible cables Video
  2. Flexible cables: catenary curve Video
  3. Examples: Parabolic and Catenary cables Video
  4. Flexible Cable: Concentrated load Video
  5. Structures: Plane Trusses Video

Week 4

  1. Analysis of trusses: Method of joints YouTube
  2. Analysis of trusses: Method of sections YouTube
  3. Shear force and bending moment YouTube
  4. Shear force and bending moment: distributed load YouTube
  5. Principle of virtual work YouTube

Week 5

  1. Principle of virtual work: examples YouTube
  2. Principle of virtual work: examples - II YouTube
  3. Stable and unstable equilibrium YouTube
  4. Friction YouTube
  5. Friction: examples YouTube

Week 6

  1. Rope and belt friction YouTube
  2. Rope and belt friction: examples YouTube
  3. Rolling resistance YouTube
  4. Revision: statics YouTube
  5. Coordinate systems: Cartesian and planar polar coordinates YouTube

Week 7

  1. Coordinate systems: spherical coordinates YouTube
  2. Coordinate systems: cylindrical coordinates YouTube
  3. Cartesian and planar polar coordinates: examples YouTube
  4. Spherical and cylindrical coordinates: examples YouTube
  5. Equation of motion in different coordinate systems YouTube

Week 8

  1. Equation of motion: examples YouTube
  2. Work energy method YouTube
  3. Work energy method: examples YouTube
  4. Impulse momentum relation YouTube
  5. Variable mass YouTube

Week 9

  1. Impact: direct central impact YouTube
  2. Impact: oblique central impact YouTube
  3. Moment of inertia YouTube
  4. Moment of inertia: examples YouTube
  5. Moment of inertia of composite bodies YouTube

Week 10

  1. Product of inertia and principal axes of inertia YouTube
  2. Principal axes of inertia: examples-I YouTube
  3. Principal axes of inertia: examples-II YouTube
  4. Harmonic oscillator: simple harmonic motion YouTube
  5. Simple harmonic motion: examples YouTube

Week 11

  1. Damped harmonic oscillator YouTube
  2. Translation and rotation of rigid bodies YouTube
  3. Translation and rotation of rigid bodies: examples YouTube
  4. Plane motion of a rigid body YouTube
  5. Plane motion of a rigid body: work energy equation YouTube

Week 12

  1. Plane motion of a rigid body: impulse-momentum equation YouTube
  2. Three-dimensional dynamics of rigid bodies: angular momentum YouTube
  3. Euler’s equations of motion YouTube
  4. Euler’s equations of motion: examples YouTube
  5. Revision: Dynamics YouTube

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Roorkee
Department
Mechanical Engineering
Teacher
Prof. Anjani Kumar Tiwari
Level
Undergraduate
Language
English
Subjects
Engineering
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.
Who can watch
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