
Class Diary for Fall 2020
Date 
Topics 
Notes 
Aug. 31 (M) 
L01: Introduction, syllabus, grading. Discussion of Newton's laws, Reading material: sections 1.11.2 
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 1.21.3 
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 1.41.5 
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 1.51.6 
note04 
Sep. 11 (F) 
L05: Polar coordinates. Newton's second law in 2D polar coordinates. End of Chapter 1. Problems for selfstudy 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 1.61.7 
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 2.12.3 
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 selfstudy 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 3.33.4 
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 selfstudy 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 13 
HW3 is due
note13

Oct. 1 (Th) 
EXAM 1, 8:2010:10pm, Ch.13 
solutions,
ScoreChart

Oct. 2 (F) 
L14: Chapter4: Kinetic Energy and work. Line integrals. WorkKE 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, Timedependent potential energy. Problems for selfstudy: 4.1, 4.3, 4.9, Reading material: section 4.34.5 
note16

Oct. 9 (F) 
L17: Timedependent potential energy, Effective onedimensional systems, Equilibrium points, Stable/unstable equilibrium. Problems for selfstudy: 4.10, 4.13. Reading material: section 4.64.7 
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 4.84.9 
HW4 is due
note19

Oct. 16 (F) 
L20:elastic collisions, energy of interaction of N particles, gravitational binding energy. Problems for selfstudy: 4.28, 4.30, 4.31, 4.34, 4.44, 4.46, 4.48, 4.49 Reading material: section 4.94.10 
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. Selfstudy 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). Selfstudy 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, Selfstudy exercise 5.26, 5.28. Reading material: section 5.4, 5.5 
quiz 6,
note23

Oct. 26 (M) 
L24: Resonance, Qfactor, 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 selfstudy 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 45. Problems , Reading material: section 6.1, 6.2 

Nov. 3 (T) 
EXAM 2, Ch.45 
EXAM 
Nov. 4 (W) 
L28: Chapter 6: Calculus of variation. Shortest path between two points in a plane. Fermat Principle, Stationary integral/path, the EulerLagrange equation. Reading material: section 6.1, 6.2 
note28
HW07

Nov. 6 (F) 
L29: the EulerLagrange equation. Application of EulerLagrange 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 (noninertial) coordinate frame, Constrained systems, generalized coordinates, degrees of freedom. Reading material: section 7.27.4 
quiz 8,
HW8,
note32

Nov. 18 (W) 
L33: Holonimic systems. Proof of Lagrange equations with constraints. Atwood's machines, noninertial 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 7.107.11. 
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. selfstudy: 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.67 
EXAM 
Dec. 9 (W) 
Review of the third exam. Final review 

