# 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.

### 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) |
- | - |