MATH: P-12 Classical Mechanics (e-PGP) (English)

   Tuesday, January 24, 2023   

Starting a new Lecture Notes Series on MATH: P-12 Classical Mechanics (e-PGP)

Youtube Lecture Playlist Credits 

Channel Name: Vidya-mitra

So Let Us Start to This Journey of Learning
MATH: P-12 Classical Mechanics (e-PGP)
By Lecture Notes together!

Lecture Description of this above Topic:

Lecture 1: Rotating coordinate system (Math)

Lecture 2: Equation of motion of a free particle relative to the rotating earth (Math)

Lecture 3: Effects of earth’s rotation (Math)

Lecture 4: Constraints and its classification (Math)

Lecture 5: Lagrange’s equation of motion of first kind (Math)

Lecture 6: Generalized principle of D’Alembert (Math)

Lecture 7: Lagrange’s equation of motion of second kind (Math)

Lecture 8: Lagrange’s equation of motion for a nonholonomic dynamical system (Math)

Lecture 9: Rayleigh’s dissipation function (Math)

Lecture 10: Applications of Lagrange’s equations of motion (Math)

Lecture 11: Routh's process for the ignoration of coordinates

Lecture 12: Hamiltonian of a dynamical system (Math)

Lecture 13: Hamilton’s equations of motion (Math)

Lecture 14: Applications of Hamiltonian mechanics (Math)

Lecture 15: Hamilton’s principle and uses (Math)

Lecture 16: Extended Hamilton’s principle and its use (Math)

Lecture 17: Principle of least action (Math)

Lecture 18: Aspects of canonical transformation (Math)

Lecture 19: Generating function (Math)

Lecture 20: Canonicality (Math)

Lecture 21: Poisson brackets and Lagrange brackets (Math)

Lecture 22: Properties of Poisson brackets (Math)

Lecture 23: Constants of motion (Math)

Lecture 24: Euler-Lagrange equation (Math)

Lecture 25: Applications of Euler-Lagrange equation (Math)

Lecture 26: Isoperimetric problems (Math)

Lecture 27: Motion of a system of particles(Math)

Lecture 28: Aspects of motion of a rigid body (Math)

Lecture 29: Euler’s equations of motion (Math)

Lecture 30: Motion of a top (Math)

Lecture 31: Lorentz transformation (Math)

Lecture 32: Applications of Lorentz transformation (Math)

Lecture 33: Velocity and acceleration in relativistic mechanics (Math)

Lecture 34: Force and energy in relativistic mechanics (Math)