Date |
Topics |
Notes |
| Aug. 22 (W) |
L01: Introduction, syllabus, grading. Course review. Reading material: 8.1-8.3 |
note1 |
| Aug. 24 (F) |
L02:Two-body central force problems. Reduced mass. The equations of motion. CM reference frame. Reading material: Ch. 8.3-8.5 |
note2 |
| Aug. 27 (M) |
L03: CM reference frame. Two equations of motion and equivalent 1D problem. Effective potential energy. Conservation of energy. Example 8.1. Reading material: Ch. 8.5-8.8 |
note3 |
| Aug. 29 (W) |
L04: Conservation of energy. Kepler bounded/unbounded orbits. Reading material: Ch. 9.1,9.2 |
HW01.
note4 |
| Aug. 31 (F) |
L05: Third Law. Orbit parameters. Stable and closed orbits. Reading material: Ch. 9.1,9.2 |
quiz,
|
| Sep. 3 (M) |
no class, Labor day |
|
| Sep. 5 (W) |
L06: Non-inertial frames, Example 9.1. Tides, tidal force. Reading material: Ch. 9.3-9.6. |
quiz,
note6 |
| Sep. 7 (F) |
L07: Magnitude of tides. Spring and neap tides. Rotating frames, angular velocity. Reading material: Ch. 9.7-9.8. |
HW01 is due,
HW02.
note7 |
| Sep. 10 (M) |
L08: Newton's second law in rotating frame. Centrifugal force. Coriolis force. Reading material: Chapter 9.8-9.9 |
note8 |
| Sep. 12 (W) |
L09: Coriolis force, Foucault pendulum. Reading material: Chapter 10: 10.1,10.2 |
quiz,
note9
|
| Sep. 14 (F) |
L10: Rotation of a rigid body: CM, Angular Momentum, Products of Inertia. Reading material: Ch. 10.3-10.4 |
HW02 is due,
HW03
note10
|
| Sep. 17 (M) |
L11: Matrix algebra, Inertia Tensor. Example 10.2. Reading material: Ch 10.4-10.5 |
note11
|
| Sep. 19 (W) |
L12: Principal Axis/Moments, egenvalue equation, Example 10.4. Reading material: Ch 10.6-10.8 |
note12
|
| Sep. 21 (F) |
In-class EXAM 1, Ch.8-10 |
EXAM |
| Sep. 24 (M) |
L13: Motion of a spinning top, Precession. Euler's equations Reading material: Chapter 11: Ch 11.1-11.2 |
HW03 is due,
HW04.
note13
|
| Sep. 26 (W) |
L14: Euler's equations, free preecession. Eiler's angles, Lagrangian approach. Reading material: Chapter 11: Ch 11.1-11.3 |
note14
|
| Sep. 28 (F) |
L15: Coupled oscillators, Normal frequenciues, modes, coordinates. Weakly Coupled Oscillators, Reading material: Ch. 11.4 |
note15
|
| Oct. 1 (M) |
L16: Weakly Coupled Oscillators. Lagrangian Approach. 2 maases + 3 springs. Double pendulum. Reading material: Ch. 11.5-11.6 |
quiz
note16
|
| Oct. 3 (W) |
L17: General Case. Tripple coupled Pendulums. Reading material: Ch 13.1,13.2 |
HW05.
note17
|
| Oct. 5 (F) |
L18: Hamiltonian mechanics, configuration space, state space, Hamiltonian, 1D case, Example 13.1 Reading material: Ch 13.3,13.4 |
HW04 is due,
note18
|
| Oct. 8 (M) |
L19: Hamilton's equations in severl dimensions. Conservation of energy. Example 13.3 (central force problem), Ignorable coordinates. Reading material: Ch. 13.5,13.6 |
note19
|
| Oct. 10 (W) |
L20: Lagrange vs Hamilton. Canonical transformations. Pjhase space orbits. Reading material: Ch. 13.7 |
note20
|
| Oct. 12 (F) |
L21: The Divergence and Liouville's Theorems.
Proof of Divergence Theorem |
note21
|
| Oct. 15 (M) |
L22: Poisson Brackets. Reading material: Ch. 14.1-14.2 |
HW05 is due,
HW06.
note22
|
| Oct. 17 (W) |
L23: Collision Theory. Scattering, Cross Section. Reading material: Ch. 14.3-14.5 |
note23
|
| Oct. 19 (F) |
L24: Scattering processes and targets, mean free path, total / differential cross-section . Reading material: Ch. 14.6-14.8 |
note24
|
| Oct. 22 (M) |
In-class EXAM 2, Ch.11-13 |
EXAM |
| Oct. 24 (W) |
L25: Review of the exam2. Differential cross-section, Rutherford Scattering, Center of mass and Lab frames Reading material: Ch. 15.1-15.2 |
quiz
note25
|
| Oct. 26 (F) |
L26: Rutherford Scattering, Center of mass and Lab frames Reading material. Relativity. Reading material: Ch. 15.3-15.4 |
HW06 is due,
note26
|
| Oct. 29 (M) |
L27: Postulates of SR, relativity of time, time dilation Reading material: Ch. 15.5-15.6 |
HW07.
note27
|
| Oct. 31 (W) |
L28: Length contraction, Lorentz Transformation. Reading material: Ch. 15.7--15.8 |
noite28
|
| Nov. 2 (F) |
no class, Homecoming |
|
| Nov. 5 (M) |
L29: Twins paradox, Relativistic snake, addition of relativistic velocities. Four dimensional space Reading material: Ch. 15.9-15.11 |
quiz
note29
|
| Nov. 7 (W) |
L30: Four vectors, Rotation in 4D-space, The invariant scalar product, Light cone, Doppler effect, Reading material: Ch. 15.12-15.14 |
HW07 is due,
HW08.
note30
|
| Nov. 9 (F) |
L31: mass,4-velocity, 4--momentum, energy, Collisions Ch. 15.14,15.16 |
note31
|
| Nov. 12 (M) |
no class, Veterans day |
|
| Nov. 14 (W) |
L32: Collisions. Continuum Nechanics: Reading material: Ch. 16.1-16.2 |
|
| Nov. 16 (F) |
L33: 1D wave equation. Evolution of a triangular wave, Boundary conditions. Normal modes. Reading material: Ch. 16.3-16.5 |
HW08 is due,
HW09.
note33
|
| Nov. 19 (M) |
L34: 3D wave equation. Plane waves, Spherical waves, Reading material: Ch. 16.6-16.7 |
note34
|
| Nov. 21-23 |
no class, Thanksgiving |
|
| Nov. 26 (M) |
L35: The stress & starin tensors Reading material: Ch. 16.8-16.9 |
|
| Nov. 28 (W) |
L36: Strain tensor for solids, Hooks law. Reading material: Ch. 16 |
|
| Nov. 30 (F) |
L37: Review session for the third exam: |
HW09 is due,
|
| Dec. 3 (M) |
In-class Exam 3 |
EXAM |
| Dec. 5 (W) |
no class |
|
| Dec. 10 (M) |
3:00-5.00pm, NPB 1011, Course Review. |
|
