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Class Diary for Spring 2021
Date |
Topics |
Notes |
| Jan. 11 (M) |
L01: Introduction, syllabus, grading. Discussion of Newton's laws, Reading material: sections 1.1-1.2 |
note01 |
| Jan. 13 (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 |
| Jan. 15 (F) |
L03: Reference frames. First and second Newton's laws. Reading material: sections 1.4-1.5 |
quiz 1
note03 |
| Jan. 18 (M) |
no class, MLK |
|
| Jan. 20 (W) |
L04: Motion under the influence of a constant force. Example 1.1: Block sliding down an incline. Third Newton's law. Exercise: 1.25, 1.27. Reading material: sections 1.4-1.5 |
note03 |
| Jan. 22 (F) |
L05: Third law and conservation of momentum. Exercise: 1.32, 1.33. Reading material: section 1.5-1.6 |
note04 |
| Jan. 25 (M) |
L06: 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 |
HW01 is due,
note05 |
| Jan. 27 (W) |
L07: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 |
HW02.
note06
|
| Jan. 29 (F) |
L08: Quadratic drag. Horizontal and vertical motion, Terminal velocity. Exercise: 2.23, 2.24, 2.26. Reading material: sections 2.4 |
note07
|
| Feb. 1 (M) |
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: section 2.5 |
quiz 2,
note08
|
| Feb. 3 (W) |
L10: Momentum, Example 3.1, Inelastic/elastic collisions, rocket motion, thrust. Reading material: sections 3.1,3.2 |
HW02 is due
HW03
note09
|
| Feb. 5 (F) |
L11: Center of Mass, Calculation of CW, Angular Momentum, Torque, weight balance. Reading material: sections 3.3-3.4 |
quiz 3 (bonus)
note10
|
| Feb. 8 (M) |
L12: Torque of central force, Kepler's second law. Angular momentum of many particles. Reading material: section 3.5 |
note11
|
| Feb. 10 (W) |
L13: 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
|
| Feb. 11 (Th) |
|
HW3 is due
|
| Feb. 12 (F) |
L14: Review of chapters 1-3 |
note13
|
| Feb. 12 (F) |
EXAM 1, 7:00-9:30pm, Ch.1-3 |
Exam1 Statistics
|
| Feb. 15 (M) |
L14: Chapter4: Review of Exam 1. Kinetic Energy and work. Line integrals. Reading material: section 4.1, 4.2 |
HW04
note14
|
| Feb. 17 (W) |
L15: Work-KE theorem, Conservative forces. Potential energy, Mechanical energy, Reading material: section 4.3, 4.4 |
note15
|
| Feb. 19 (F) |
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
|
| Feb. 22 (M) |
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 |
note17
|
| Feb. 24 (W) |
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 |
quiz 4
HW05
note18
|
| Feb. 26 (F) |
L19: Spherical coordinates, gradient in spherical coordinates, energy of interaction of 2 particles. Reading material: section 4.8-4.9 |
HW4 is due
note19
|
| Mar. 1 (M) |
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
|
| Mar. 3 (W) |
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
|
| Mar. 5 (F) |
L22: 2D and anisotropic oscillators, Lissagous figures, Homogenious equations. Self-study exercise 5.10, 5.16, 5.21, 5.22, 5.23, 5.25 Reading material: section 5.3 |
HW05 is due
note22
|
| Mar. 8 (M) |
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
|
| Mar. 10 (W) |
L24:Solution for driven dumped oscillator, Resonance, Q-factor, phase at resonance. Reading material: section 5.7, 5.8 |
note24
LIGO_seismic
|
| Mar. 12 (F) |
L25: Fourier series. Example 5.4, use FS for driven oscillator. Reading material: section 5.8, 5.9 |
note25
LIGO_noise
|
| Mar. 15 (M) |
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
|
| Mar. 17 (W) |
L27: Summary of chapters 4-5. Problems , Reading material: section 6.1, 6.2 |
|
| Mar. 17 (W) |
EXAM 2, Ch.4-5 |
EXAM |
| Mar. 19 (F) |
L28: Review of the exam problems and results. Chapter 6: Calculus of variation. Shortest path between two points in a plane. Fermat Principle, Stationary integral/path. Reading material: section 6.1, 6.2 |
exam2stat
exam2solutions
note28
HW07
|
| Mar. 22 (M) |
L29: the Euler-Lagrange equation. Variation problem for several generalized coordinates. Reading material: section 6.2, 6.4 |
note29
|
| Mar. 24 (W) |
no class, recharge day |
|
| Mar. 26 (F) |
L30: Application of Euler-Lagrange equation: shortest path on a plane, brachistochrone. Reading material: section 6, |
quiz7
note30,
|
| Mar. 29 (M) |
L31: Lagrange equations and Newton's laws. Unconstrained motion. Hamilton Principle. Example 7.1, 7.2. Reading material: section 7.2, 7.3 |
note31
|
| Mar. 31 (W) |
L32: revolving (non-inertial) coordinate frame, Constrained systems, generalized coordinates, degrees of freedom. Reading material: section 7.2-7.4 |
HW07 is due,
,
HW8,
note32 PR
|
| Apr. 2 (F) |
L33: Holonimic systems. Proof of Lagrange equations with constraints. Atwood's machines, non-inertial pendulum. |
note33, PR
|
| Apr. 5 (M) |
L34: Application of Lagrange equations. Selection of generalized coordinates, Example 7.5, 7.6, 7.7 |
note34
|
| Apr. 7 (W) |
L35: Application of Lagrange equations. Moving wedge, steam valve, ... |
quiz 8,
HW9,
note34a
|
| Apr. 9 (F) |
L36: Hamiltonian. Conservation of energy, Noether's Theorem. Hamilton's equations. Reading material: section 7.10-7.11 |
HW8 is due,
note35,
|
| Apr. 12 (M) |
L37:ALC quiz |
|
| Apr. 14 (W) |
L38: Constraints, Lagrange multipliers.Atwood machine and pendulum with constraints |
quiz 9
|
| Apr. 16 (F) |
L39: Catenary. self-study: problems at the end of chapter |
HW9 is due
catenary
|
| Apr. 19 (M) |
L39: Lagrangian of a charged particle in the electric and magnetic fields. Review of Chapters 6 and 7 |
|
| Apr. 19 (M) |
Exam 3, Ch.6-7 |
EXAM |
| Apr. 21 (W) |
Review of the third exam. Final review |
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