Classical Mechanics

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Lectures

  • Lecture 0. [Background]
  • Lecture 1. [Streamline & Turbulent Flow]
  • Lecture 2. [Couette, Poisseuille & Stoke's Flow]
  • Lecture 3. [Intertial Systems]
  • Lecture 4. [Newton's Gravity]
  • Lecture 5. [Gravitational Potential]
  • Lecture 6. [Kepler's Law]
  • Lecture 7. [Flow of Dry water]
  • Lecture 8. [Euler's equation]
  • Lecture 9. [Infamous laws]
  • Lecture 10. [Flow of Wet water]

Homework

Remarks

Topics

  1. Central Force: Newton’s Law of Gravitation; Kepler’s Laws; Conservation of angular momentum, Gauss’s law for Gravitation (integral form); Gravitational potential and intensity due to uniform spherical shell, solid sphere of uniform density and infinite flat sheet. Differential equation for the path in a central force field. Motion under an inverse square force, calculation of orbits.
  2. Scattering: Two body collision and scattering.
  3. Fluid Motion:
    • Kinematics of Moving Fluids: Idea of compressible and incompressible fluids, Equation of continuity, streamline and turbulent flow, Reynold's number. Euler's Equation. The special case of fluid statics F = ∇p, Simple applications (e.g: Pascal's law and Archimedes principle). Bernoulli’s Theorem.

Study Materials

  1. General Properties of Matter - Sengupta Chatterjee/D.S.Mathur.
  2. Feynman Lectures in Physics (Vol.1 & 2).
  3. Fluid Mechanics (Vol.6) & Theory of Elasticity (Vol.7) - L.D. Landau & E.M. Lifshitz.
  4. The Finite Volume Method in Computational Fluid Dynamics - F. Moukalled, L. Mangani & M. Darwish.
  5. An Introduction to Mechanics - D. Kleppner, R.J. Kolenkow.
  6. Mechanics - Berkeley Physics (Vol.1) - C.Kittel, W.Knight et.al.
  7. Physics - Resnick, Halliday and Walker.
  8. Elements of Mechanics - R.Reddy, S.Raghavan, D.V.N.Sarma.