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Class Diary for Fall 2019
Date |
Topics |
Notes |
| Aug. 21 (W) |
L01: Introduction, syllabus, grading. Discussion of Newton's laws, Reading material: sections 1.1-1.3 |
note1 |
| Aug. 23 (F) |
L02: Coordinate frames. Vectors and vector operations. Position, velocity, acceleration. Example: expanding universe. Exercise: 1.1, 1.5, 1.11. Reading material: sections 1.4, 1.5 |
HW01.
note2 |
| Aug. 26 (M) |
L03: Reference frames. First and second Newton's laws. Motion under the influence of a constant force. Example 1.1: Block sliding down an incline. Exercise: 1.25, 1.27. Reading material: sections 1.6 |
note3 |
| Aug. 28 (W) |
L04: Third law and conservation of momentum. Exercise: 1.32, 1.33. Reading material: section 1.7 |
quiz1
note4 |
| Aug. 30 (F) |
L05: Polar coordinates. Newton's second law in 2D polar coordinates. End of Chapter 1. Problems for self-study and exam preparation: 1.3; 1.6; 1.7; 1.12; 1.13; 1.15; 1.18; 1.20; 1.47; 1.48. Reading material: sections 2.1 anmd 2.2 |
note5 |
| Sep. 2 (M) |
no class, Labor day |
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| Sep. 4 (W) |
class cancelled due to Dorian |
|
| Sep. 6 (F) |
L06:Friction forces, air resistance. Motion with linear drag. Exercise: 2.7, 2.11, 2.13. Reading material: sections 2.3, 2.4 and 2.5 |
HW01 is due,
HW02.
note6
|
| Sep. 9 (M) |
L07: Terminal velocity. Tragectory and range in a linear media. Example 2.5 from the textbook. Reading material: sections 2.6 and 2.7 |
quiz2
note7
|
| Sep. 11 (W) |
L08:Horizontal range, Quadratic drag. Exercise: 2.23, 2.24, 2.26. Reading material: sections 2.6 and 2.7 |
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| Sep. 13 (F) |
L09: Motion in a uniform magnetic field. Complex exponentials, Solutions for charge in magnetic field. End of Chapter 2. Problems for self-study in preparation for the first exam: 2.5; 2.6; 2.9; 2.15; 2.23; 2.24; 2.26; 2.27; 2.29; 2.30; 2.31; 2.32; 2.36; 2.37; 2.38; 2.39; 2.40. Reading material: sections 3.1, 3.2, 3.3 |
note9
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| Sep. 16 (M) |
L10: Momentum, Example 3.1, Inelastic/elastic collisions, rocket motion, thrust, center of mass. Reading material: sections 3.3,3.4 |
HW02 is due
HW03
note10
|
| Sep. 18 (W) |
L11: Calculation of Center of Mass, Angular Momentum, Kepler's second law. Reading material: sections 3.5 |
note11
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| Sep. 20 (F) |
L12:Angular momentum of many particles, moment of inertia. End of Chapter 3. Problems for self-study from Chapter 3: 3.1, 3.2, 3.5, 3.7, 3.9, 3.10, 3.12, 3.22. Reading material: section 4.1, 4.2 |
quiz3
note12
|
| Sep. 23 (M) |
L13: Chapter4: Kinetic Energy and work. Line integrals. Work-KE theorem, Conservative forces. Reading material: section 4.3, 4.4 |
HW3 is due
HW04
note13
|
| Sep. 23 (M) |
EXAM 1, 8:20-10:10pm, Ch.1-3 |
EXAM |
| Sep. 25 (W) |
L14: Review exam 1 problems. Potential energy, Mechanical energy, Non-conservative forces, Example 4.3. Gradient, Curl Reading material: section 4.5, 4.6, 4.7 |
note14
|
| Sep. 27 (F) |
L16: Non-conservative forces, Example 4.3. Gradient, Curl, Time-dependent potential energy. Effective one-dimensional systems, Equilibrium points, Stable/unstable equilibrium. Problems for self-study: 4.1, 4.3, 4.9, 4.10, 4.13. Reading material: section 4.8 |
note16
|
| Sept. 30 (M) |
L17: Solution of the motion in U(x). Example 4.7. Central forces, Example: gravitational and coulomb fields. Reading material: section 4.9 |
quiz4
note17
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| Oct. 2 (W) |
L18: Spherical coordinates, gradient in spherical coordinates, energy of interaction of 2 particles. Reading material: section 4.10 |
HW4 is due
HW05
note18
|
| Oct. 4 (F) |
no class, Homecoming |
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| Oct. 7 (M) |
L19:elastic collisions, energy of interaction of N particles, gravitational binding energy. Problems for self-study: 4.28, 4.30, 4.31, 4.34, 4.44, 4.46, 4.48, 4.49 Reading material: section 5.1, 5.2 |
note19
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| Oct. 9 (W) |
L20: Hooke's law, simple harmonic motion, relations between exponential and sin/cos solutions (initial conditions, phase), Re{complex exponential}. Example 5.2. Self-study exercise 5.1, 5.2, 5.3, 5.6, 5.8, 5.9: Reading material: section 5.3, 5.4 |
HW06 posted
note20
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| Oct. 11 (F) |
L21: 2D and anisotropic oscillators, Lissagous figures, Homogenious equations, Dumping (weak, strong, critical). Self-study exercise 5.10, 5.16, 5.21, 5.22, 5.23, 5.25 Reading material: section 5.5. |
HW05 is due
note21
|
| Oct. 14 (M) |
L22: Inhomogenious equations: Driven dumped oscillator, Self-study exercise 5.26, 5.28. Reading material: section 5.6, 5.7 |
quiz5
note22
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| Oct. 16 (W) |
L23: Resonance, Q-factor, phase at resonance. Reading material: section 5.7, 5.8 |
note23
LIGO SIS
LIGO noise
|
| Oct. 18 (F) |
L24: Fourier series. Example 5.4, use FS for driven oscillator. Reading material: section 5.8, 5.9 |
note24
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| Oct. 21 (M) |
L25: Oscillator driven by rectangular force, Example 5.5, Parseval's Theorem. Problems for self-study 5.1, 5.2, 5.3, 5.6, 5.8, 5.9, 5.10, 5.16, 5.21, 5.22, 5.23, 5.25, 5.26, 5.28, 5.42 |
HW6 is due
note25
|
| Oct. 23 (W) |
L26: Summary of chapters 4-5. Problems , Reading material: section 6.1, 6.2 |
|
| Oct. 23 (W) |
EXAM 2, Ch.4-5 |
EXAM |
| Oct. 25 (F) |
L27: Review of the exam problems and results. Chapter 6: Calculus of variation. Stationary integral/path. Reading material: section 6.3, 6.4 |
HW07
|
| Oct. 28 (M) |
L28: Shortest path between two points in a plane. Fermat Principle. The Euler-Lagrange equation. Reading material: section 6.3, 6.4 |
note28
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| Oct. 30 (W) |
L29: Application of EL equation: shortest path on a plane, brachistochrone, revolving coordinate frame. Reading material: section 6, |
note29
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| Nov. 1 (F) |
L30: Lagrange equations and Newton's laws. Unconstrained motion. Hamilton Principle. Example 7.1, 7.2. Reading material: section 7.2, 7.3 |
quiz6
note30
|
| Nov. 4 (M) |
L31: Constrained systems, generalized coordinates, degrees of freedom. Reading material: section 7.4, 7.5 |
HW7 is due,
HW8,
|
| Nov. 6 (W) |
L32: Holonimic systems. Proof of Lagrange equations with constraints. Homework 8, problem 9 (6.23 from the textbook). |
quiz7
note32
|
| Nov. 6 (F) |
L33: Application of Lagrange equations. Example 7.3 and 7.5 |
note33
|
| Nov. 11 (M) |
no class, Veterans day |
|
| Nov. 13 (W) |
L34: Application of Lagrange equations. Selection of generalized coordinates, two masses conected by spring. Example 7.5 |
HW8 is due,
HW9,
note34
|
| Nov. 15 (F) |
L35: Application of Lagrange equations. Example 7.6 and 7.7. Reading material: section 7.6, 7.8 |
|
| Nov. 18 (M) |
L36:Conservation laws, Noether's Theorem. Hamiltonian. Reading material: section 7.10-7.11 |
note35
|
| Nov. 20 (W) |
L37: Constraints, Lagrange multipliers |
note36
|
| Nov. 22 (F) |
L38: Application of Lagrange multipliers. Catenary |
catenary
|
| Nov. 25 (M) |
L39: Lagrangian of a charged particle in the electric and magnetic fields. self-study: problems at the end of chapter 7 |
HW9 is due
constraints
note38
|
| Nov. 27 (W) |
no class, Thanksgiving |
|
| Nov. 29 (F) |
no class, Thanksgiving |
|
| Dec. 2 (M) |
L40: Review session for the third exam. homeworks 8,9,10, problems 7.40, 7.41. |
|
| Dec. 2 (M) |
Exam 3, Ch.6-7 |
EXAM |
| Dec. 4 (W) |
L41: ALC quiz (30min). Review of the third exam.
final
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