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PHY3221

Class Diary for Fall 2020

Date
Topics
Notes
Aug. 31 (M) L01: Introduction, syllabus, grading. Discussion of Newton's laws, Reading material: sections 1.1-1.2 note01
Sep.   2 (W) L02: Coordinate frames. Vectors and vector operations. Position, velocity, acceleration. Example: expanding universe. Exercise: 1.1, 1.5, 1.11. Reading material: sections 1.2-1.3 HW01. note02
Sep.   4 (F) 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 1.4-1.5 quiz note03
Sep.   7 (M) no class, Labor day
Sep.   9 (W) L04: Third law and conservation of momentum. Exercise: 1.32, 1.33. Reading material: section 1.5-1.6 note04
Sep. 11 (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 1.6-1.7 note05
Sep. 14 (M) L06:Friction forces, air resistance. Motion with linear drag. Exercise: 2.7, 2.11, 2.13. Horizontal range, Quadratic drag. Exercise: 2.23, 2.24, 2.26. Reading material: sections 2.1-2.3 HW01 is due, HW02. note06
Sep. 16 (W) L07: Quadratic drag. Horizontal and vertical motion, Terminal velocity. Exercise: 2.23, 2.24, 2.26. Reading material: sections 2.4 quiz 2 note07
Sep. 18 (F) L08: 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: section 2.5 note08
Sep. 21 (M) L09: Momentum, Example 3.1, Inelastic/elastic collisions, rocket motion, thrust. Reading material: sections 3.1,3.2 note09
Sep. 23 (W) L10: Center of Mass, Calculation of CW, Angular Momentum, Torque, weight balance. Reading material: sections 3.3-3.4 HW02 is due HW03 note10
Sep. 25 (F) L11: Torque of central force, Kepler's second law. Angular momentum of many particles. Reading material: section 3.5 quiz 3 note11
Sep. 28 (M) L12: moment of inertia. Calculation of moment of inertia, Example 3.3, Example 3.4, 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 3.5 note12
Sep. 30 (W) L13: Review of chapters 1-3 HW3 is due note13
Oct.   1 (Th) EXAM 1, 8:20-10:10pm, Ch.1-3 solutions, ScoreChart
Oct.   2 (F) L14: Chapter4: Kinetic Energy and work. Line integrals. Work-KE theorem, Conservative forces. Reading material: section 4.1, 4.2 HW04 note14
Oct.   5 (M) L15: Review of Exam 1. Potential energy, Mechanical energy, Reading material: section 4.3, 4.4 note15
Oct.   7 (W) L16: Conservative/nonconservative force, Example with spherical gravity field, Gradient, Curl, Time-dependent potential energy. Problems for self-study: 4.1, 4.3, 4.9, Reading material: section 4.3-4.5 note16
Oct.   9 (F) L17: Time-dependent potential energy, Effective one-dimensional systems, Equilibrium points, Stable/unstable equilibrium. Problems for self-study: 4.10, 4.13. Reading material: section 4.6-4.7 quiz 4, note17
Oct. 12 (M) L18: Solution of the motion in U(x): uniform field, Atwood machine, pendulum, Example 4.7. Central forces, Example: gravitational and coulomb fields. Reading material: section 4.8 HW05 note18
Oct. 14 (W) L19: Spherical coordinates, gradient in spherical coordinates, energy of interaction of 2 particles. Reading material: section 4.8-4.9 HW4 is due note19
Oct. 16 (F) L20: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 4.9-4.10 note20
Oct. 19 (M) L21: 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 5.1, 5.2 quiz 5, HW06 note21
Oct. 21 (W) L22: 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 5.3 HW05 is due note22
Oct. 23 (F) L23: Dumping (weak, strong, critical).Inhomogenious equations: Driven dumped oscillator, Self-study exercise 5.26, 5.28. Reading material: section 5.4, 5.5 quiz 6, note23
Oct. 26 (M) L24: Resonance, Q-factor, phase at resonance. Reading material: section 5.7, 5.8 note24 LIGO_seismic LIGO_noise
Oct. 28 (W) L25: Fourier series. Example 5.4, use FS for driven oscillator. Reading material: section 5.8, 5.9 quiz 7, note25
Oct. 30 (F) L26: 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 note26
Nov.   2 (M) L27: Summary of chapters 4-5. Problems , Reading material: section 6.1, 6.2
Nov.   3 (T) EXAM 2, Ch.4-5 EXAM
Nov.   4 (W) L28: Chapter 6: Calculus of variation. Shortest path between two points in a plane. Fermat Principle, Stationary integral/path, the Euler-Lagrange equation. Reading material: section 6.1, 6.2 note28 HW07
Nov.   6 (F) L29: the Euler-Lagrange equation. Application of Euler-Lagrange equation: shortest path on a plane. Variation problem for several functions. Reading material: section 6.2, 6.4 note29
Nov.   9 (M) L30: Review of the exam problems and results. brachistochrone. Reading material: section 6, exam2stat note30
Nov. 11 (W) no class, Veterans day
Nov. 13 (F) L31: Lagrange equations and Newton's laws. Unconstrained motion. Hamilton Principle. Example 7.1, 7.2. Reading material: section 7.2, 7.3 note31
Nov. 16 (M) L32: revolving (non-inertial) coordinate frame, Constrained systems, generalized coordinates, degrees of freedom. Reading material: section 7.2-7.4 quiz 8, HW8, note32
Nov. 18 (W) L33: Holonimic systems. Proof of Lagrange equations with constraints. Atwood's machines, non-inertial pendulum. HW07 is due note33
Nov. 20 (F) L34: Application of Lagrange equations. Selection of generalized coordinates, Example 7.5, 7.6, 7.7 note34
Nov. 23 (M) L35: Hamiltonian. Conservation of energy, Noether's Theorem. Hamilton's equations. Reading material: section 7.10-7.11. quiz 9, HW9, note35
Nov. 25 (M) no class, Thanksgiving
Nov. 27 (F) no class, Thanksgiving
Nov. 30 (M) L36: Constraints, Lagrange multipliers.Atwood machine and pendulum with constraints HW8 is due, note36, pendulum and more.
Dec.   2 (W) L37:ALC quiz quiz
Dec.   4 (F) L38: Catenary. self-study: problems at the end of chapter catenary
Dec.   7 (M) L39: Lagrangian of a charged particle in the electric and magnetic fields. Review of Chapters 6 and 7 HW9 is due
Dec.   8 (T) Exam 3, Ch.6-7 EXAM
Dec.   9 (W) Review of the third exam. Final review