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Ryan M. Wilson, Assistant Professor
Poincare.

SP333 Fall 2017

This is the second course in a two-course sequence covering the physical mechanics of classical systems (the first course is SP221).  By the end of this course, you should be able to employ conceptual, advanced mathematical, and computational methods to quantitatively describe a variety of systems in the classical (i.e. not quantum or relativistic) universe.

Course Policy Statement

EI Availability

Required materials

Textbook:  John R. Taylor, Classical Mechanics (University Science Books, California, 2005)

Python software:  We will use Python to solve problems that are not analytically tractable, and to visualize our results.  You are welcome to use an alternative programming language or software distribution, but I will not be able to provide the same level of support.  You should install Python via the Anaconda distribution, which includes the Jupyter notebook package.  The examples I provide will be readable and executable as Jupyter notebooks.  Install the Anaconda package here.

Homework

Homework 1
Homework 2
Homework 3
Homework 4
Homework 5
Homework 6
Homework 7
Homework 8
Homework 9
Homework 10
Homework 11
Homework 12

Python Code

Note: If the .ipynb files download as other file types, rename them in the Jupyter browser with the .ipynb file extension.

Plotting (.ipynb)
Symbolic computation (.ipynb)
Numerical root finding (.ipynb)
Solving differential equations numerically (.ipynb)
Numerical differentiation and integration (.ipynb)

Schedule

Day Topic Reading Due
M Aug 21 Course introduction, notation, etc. - -
T Aug 22 Plotting with Python - Anaconda
W Aug 23 Dynamics in polar coordinates 1.1-1.7 -
F Aug 25 Projectiles and drag 2.1-2.4 -
M Aug 28 Complex exponentials, charged particle in B-field 2.5-2.7 -
T Aug 29 Symbolic computation with Python - -
W Aug 30 Collisions, explosions, & rockets 3.1-3.2 HW 1
F Sep 1 Center of mass 3.3 -
M Sep 4 No class: Labor Day - -
T Sep 5 Angular momentum 3.4-3.5 -
W Sep 6 Kinetic & potential energy 4.1-4.4 HW 2
F Sep 8 Energy in 1D, curvilinear coordinates 4.6-4.7 -
M Sep 11 Energy in many-body systems 4.8-4.10 -
T Sep 12 Workshop - -
W Sep 13 Oscillations in 1D & 2D 5.1-5.3 HW 3
F Sep 15 Damped & driven oscillations 5.4-5.6 -
M Sep 18 Variational calculus 6.1-6.2 -
T Sep 19 Review day -
W Sep 20 Exam 1 - -
F Sep 22 Using the Euler-Lagrange equation 6.3-6.4 -
M Sep 25 Lagrange's equations 7.1 -
T Sep 26 Workshop - -
W Sep 27 Lagragian with constraints 7.2-7.4 HW 4
F Sep 29 Using Lagrange's equations 1 7.5-7.7 -
M Oct 2 Using Lagrange's equations 2 7.5-7.7 -
T Oct 3 Workshop - -
W Oct 4 Lagrange multipliers & constraint forces 7.10 HW 5
F Oct 6 The 2-body problem 8.1-8.3 -
M Oct 9 No class: Columbus day - -
T Oct 10 Workshop - -
W Oct 11 The 2-body problem as a 1D system 8.4 HW 6
F Oct 13 Solutions to the 2-body problem 8.5-8.7 -
M Oct 16 Accelerating reference frames 9.1 -
T Oct 17 Workshop - -
W Oct 18 Example: the tides 9.2 HW 7
F Oct 20 Rotating reference frames 9.3-9.5 -
M Oct 23 Centrifugal & coriolis forces 9.6-9.8 -
T Oct 24 Example: the Foucault pendulum 9.9 -
W Oct 25 Review Day - -
F Oct 27 Exam 2 - -
M Oct 30 Rotation about a fixed axis 10.1-10.2 -
T Oct 31 Workshop - -
W Nov 1 The inertia tensor 10.3 HW 8
F Nov 3 Principal axes of inertia 10.4-10.5 -
M Nov 6 Precession & Euler's equations 10.6-10.8 -
T Nov 7 Workshop - -
W Nov 8 Nutation 10.10 -
F Nov 10 No class: Veteran's day - HW 9
M Nov 13 Coupled oscillators 11.1 -
T Nov 14 Workshop - -
W Nov 15 Normal modes & weakly coupled oscillators 11.2-11.3 -
F Nov 17 Lagrangian approach to coupled oscillators 11.4-11.5 HW 10
M Nov 20 The triple oscillator & normal coordinates 11.6-11.7 -
T Nov 21 Workshop - -
W Nov 22 Hamiltonian mechanics 13.1-13.2 HW 11
F Nov 24 No class: Thanksgiving - -
M Nov 27 3D Hamiltonian mechanics & irrelevant coordinates 13.3-13.4 -
T Nov 28 Lagrange's vs. Hamilton's Eqs. 13.5 -
W Nov 29 Review day - -
F Dec 1 Exam 3 - HW 12
M Dec 4 Review - -
T Dec 5 Review - -
W Dec 6 Review - -
T Dec 19 Final Exam (0755 - 1045)  - -
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