1. |
|
Newtons Law of Motion 1 |
Introduction to Physics, Newtons Law of Motion |
|
|
|
Newtons Law of Motion 2 |
Frame of Reference, Rotational version of Newtons Laws |
|
|
|
Newton's Law of Motion (강의자료) |
Newton's Law of Motion |
|
2. |
|
Conservative force and potential energy 1 |
Work, kinetic energy, potential energy, conservative force, total mechanical energy |
|
|
|
Conservative force and potential energy (강의자료) |
Work, kinetic energy, potential energy, conservative force, total mechanical energy |
|
3. |
|
Oscillations - simple harmonic oscillator 1 |
Simple harmonic oscillator |
|
|
|
Oscillations - simple harmonic oscillator 2 |
Review on simple harmonic oscillator |
|
|
|
Oscillations - simple harmonic oscillator (강의자료) |
Simple harmonic oscillator |
|
4. |
|
Oscillations - Phase diagram 1 |
Phase diagram |
|
|
|
Oscillations - Phase diagram 2 |
Solution of Problems 3.6 |
|
5. |
|
Driven oscillation |
Driven oscillation |
|
6. |
|
Theta function and delta function(distribution) forces 1 |
Theta function and delta function(distribution) forces |
|
|
|
Theta function and delta function(distribution) forces 2 |
Solution of 3.5.3 Exercise 1 |
|
|
|
Theta function and delta function(distribution) forces (강의자료) |
Replacement of theta function by delta function |
|
7. |
|
Basic properties of electric charge 1 |
Basic properties of electric charge |
|
|
|
Basic properties of electric charge (강의자료) |
Basic properties of electric charge |
|
8. |
|
Coulombs law and Newtons law of gravity |
Coulombs law and Newtons law of gravity |
|
9. |
|
Electric and gravitational Field - scalar field and vector field |
Electric and gravitational Field - scalar field and vector field |
|
10. |
|
Gauss law and inverse square law 1 |
Gauss law and inverse square law - 1 |
|
|
|
Gauss law and inverse square law 2 |
Gauss law and inverse square law - 2 |
|
|
|
Gauss law and inverse square law 3 |
Gauss law and inverse square law - 3 |
|
11. |
|
Electric and gravitational potential 1 |
Electric and gravitational potential 1 - calculation of potential |
|
|
|
Electric and gravitational potential 2 |
Electric and gravitational potential 2 |
|
|
|
Electric and gravitational potential 3 |
Electric and gravitational potential 3 - comparison of electric and gravitational forces |
|
12. |
|
Potential due to an electric dipole 1 |
Potential due to an electric dipole - dipole contribution |
|
12. |
|
Potential due to an electric dipole 2 |
Potential due to an electric dipole |
|
|
|
Potential due to an electric dipole 3 |
Shell theorem |
|
13. |
|
Euler-Lagrange equation - an alternative way 1 |
Definition of Lagrangian |
|
|
|
Euler-Lagrange equation - an alternative way 2 |
Proof of equation of motion by Euler-Lagrange equation |
|
|
|
Euler-Lagrange equation - an alternative way (강의자료) |
Euler-Lagrange equation - an alternative way |
|
14. |
|
Toward calculation of variation 1 |
Toward calculation of variation - 1 |
|
|
|
Toward calculation of variation 2 |
Toward calculation of variation - 2 |
|
|
|
Toward calculation of variation 3 |
Toward calculation of variation - 3 |
|
15. |
|
Extension to three dimesions 1 |
Extension to three dimesions |
|
|
|
Extension to three dimesions 2 |
Second form of Euler-Lagrange equation |
|
16. |
|
Calculus of variation 1 |
Calculus of variation |
|
|
|
Calculus of variation 2 |
Example of variation calculation |
|
|
|
Calculus of variation (강의자료) |
Calculus of variation |
|
17. |
|
Fermats principle and Snells law |
Fermats principle and Snells law |
|
18. |
|
Constraints and Lagranges undetermined multiplier 1 |
Constraints and Lagranges undetermined multiplier |
|
|
|
Constraints and Lagranges undetermined multiplier 2 |
Case I. Substitute in advance and Case II. Lagranges Undetermined multiplier |
|
|
|
Constraints and Lagranges undetermined multiplier 3 |
Case III. two variables |
|
|
|
Constraints and Lagranges undetermined multiplier 4 |
Case IV. five variables |
|
19. |
|
Generalized Coordinates 1 |
Inertial cartesian coordinate system |
|
|
|
Generalized Coordinates 2 |
Time-independent rotation |
|
|
|
Generalized Coordinates 3 |
Fixed curvilinear coordinate system -1 |
|
|
|
Generalized Coordinates 4 |
Fixed curvilinear coordinate system -2 |
|
|
|
Generalized Coordinates 5 |
Generalized coordinates for a two-body system |
|
|
|
Generalized Coordinates 6 |
Time-dependent potential |
|
|
|
Generalized Coordinates (강의자료) |
Generalized Coordinates |
|
20. |
|
Hamiltonian Mechanics 1 |
Legendre transformation |
|
|
|
Hamiltonian Mechanics 2 |
EOM(Equation of Motion) in terms of Hamiltonian |
|
|
|
Hamiltonian Mechanics 3 |
Canonical EOM(Equation of Motion) |
|
|
|
Hamiltonian Mechanics 4 |
Modified Hamiltons principle |
|
|
|
Hamiltonian Mechanics 5 |
Constants of motion |
|
|
|
Hamiltonian Mechanics (강의자료) |
Hamiltonian Mechanics |
|
21. |
|
Vector Calculus of Physics Analysis 1 |
Basic concepts - definitions |
|
|
|
Vector Calculus of Physics Analysis 2 (강의자료) |
Basic concepts - definitions |
|
|
|
Vector Calculus of Physics Analysis 3 |
Vector differentiation - ordinary derivative, partial derivative, gradient, divergence and curl operators |
|
|
|
Vector Calculus of Physics Analysis 4 (강의자료) |
Vector differentiation - ordinary derivative, partial derivative, gradient, divergence and curl operators |
|
|
|
Vector Calculus of Physics Analysis 5 |
Exercise solution |
|
|
|
Vector Calculus of Physics Analysis 6 |
Vector integration - basic integrals, divergence theorem, stokes theoremv |
|
|
|
Vector Calculus of Physics Analysis 7 (강의자료) |
Vector integration - basic integrals, divergence theorem, stokes' theoremv |
|
|
|
Vector Calculus of Physics Analysis 8 |
Proof of divergence theorem |
|
|
|
Vector Calculus of Physics Analysis 9 |
Proof of stokes theorem |
|