Classical Mechanics (H. Goldstein)
Generalized coordinates
D’ Alembert’s principle and Lagrange’s equations
Hamilton equations
#01 Classical Mechanics: Introduction to classical mechanics
#02 Classical Mechanics: Generalized coordinates
#03 Classical Mechanics: Configuration space
#04 Classical Mechanics: Degrees of freedom and constraints
#05 Classical Mechanics: Classification of constraints
#06 Classical Mechanics: Generalized Notations
#07 Classical Mechanics: Hamilton's Variational Principle and Lagrange's Equation
#08 Classical Mechanics: Application of Lagrange's equation 1 (Linear harmonic oscillator)
#09 Classical Mechanics: Application of Lagrange's equation 2 (Simple Pendulum)
#10 Classical Mechanics: Application of Lagrange's equation 3: Bead sliding on a rotating wire
#11 Classical Mechanics:Cyclic/Ignorable coordinate and its effect on conjugate generalized momentum
#12 Classical Mechanics: Hamiltonian Operator and Phase Space
#13 Classical Mechanics: Hamilton's Canonical Equations of Motion
#14 Classical Mechanics: Application of Hamilton's Canonical Equation: Simple Pendulum
#15 Classical Mechanics: Advantage and Physical Significance of Hamiltonian
#16 Classical Mechanics: Cyclic coordinate in Hamiltonian, Introduction to Canonical Transformation
Moment of inertia
Motion of rigid bodies in two dimensions
Equation of continuity
Euler’s equation of motion for inviscid flow
Stream-lines
Path of a particle
Potential flow
Two-dimensional and axisymmetric motion
Sources and sinks
Vortex motion
Navier-Stokes equation for a viscous fluid
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