Physics 105. Spring 2018. Physics and Astronomy Department. Saint Mary's College of California

This course covers the principles of particle dynamics. Topics include rigid body dynamics, Lagrange’s equations, Hamilton’s principle, wave propagation, and normal modes of vibration in oscillating systems. Prerequisites: Physics 1-4 and Math 39.

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### Instructor information

### Class information

- Office: Galileo 108A 925-631-4837
- Office hours Tu 2:30-3:30 W 2:30-3:30 F 1:30-2:30
- mrosario@stmarys-ca.edu

- Final Exam will be on Wed May 23 10:30-12:30
- Exam 2 was on F Apri 27: review, grades, solutions
- Exam 1 was on M Mar 19: review, grades, solutions, retake?

- Project description (pdf).
- Extra credit events. Pathways to Science lecture, SOS Career Panel, Informal conversation. Attend the event. Write one summary paragraph and one reflection paragraph. Submit it within one week of the event. (Max 2 extra credit events)
- Other extra credit events: Math Senior Essays on the picture problem, gerrrymandering, and the hidden Markov model

- Olowin Physics and Astronomy Lecture is March 12

Date | Text | Topic | Handouts, links, notes | |
---|---|---|---|---|

M2.12 | 1.1 1.2 1.4 | NEWTON'S 2ND LAW REVIEW. intro, vector review, Newton's second law, differential equations | in-class problems, assignment | |

W2.14 | 2.12 | 1.1 1.2 1.4 | intro, vector review, Newton's second law, differential equations | |

2.14 | 1.6 1.7 | Cartesian and polar coordinates | ||

F2.16 | 2.1 2.2 | PROJECTILES AND CHARGED PARTICLES. air resistance, linear air resistance | in-class problems | |

M2.19 | 2.16 | 2.1 2.2 | air resistance, linear air resistance | |

2.19 | 2.4 2.5 | quadratic air resistance, charged particle in B | ||

W2.21 | problems on air resistance | in-class problems | ||

F2.23 | 2.3 | trajectory, range, Taylor series approx | in-class problems | |

M2.26 | 1.5 3.1 3.2 | MOMENTUM AND ANGULAR MOMENTUM. Newton's 3rd law, conservation of momentum, rockets | in-class problems, assignment DUE 2.3 2.8 2.14 2.29 2.33 2.40 2.57 | |

W2.28 | 3.3 3.4 | center of mass, single particle angular momentum | in-class problems, assignment | |

F3.02 | 3.4 | Kepler's law, moment of inertia | in-class problems | |

M3.05 | 4.1 | ENERGY. kinetic energy, work-kinetic energy theorem | DUE 2.37 2.14 2.20 3.3 3.9 3.1BC 3.17 3.33 3.31. in-class problems, assignment | |

W3.07 | revisit what needs to be revisited: projectiles, momentum | assignment | ||

F3.09 | 4.2-4.4 | potential energy, work-energy theorem | assignment | |

M3.12 | 4.3 4.4 4.5 | gradient of potential, curl of force, time dependent U | assignment | |

W3.14 | 4.6 4.7 | energy in 1D systems | assignment due Fri | |

F3.16 | exam review | |||

M3.19 | EXAM 1 | review, grades, solutions, retake? | ||

W3.21 | 5.1 5.2 | OSCILLATIONS. Hooke's law. SHM solutions | assignment due Fri | |

F3.23 | 5.2 | SHM solutions cont'd | assignment due Th4.05 | |

SPRING BREAK | ||||

W4.04 | 5.4 | damped oscillations. simulation | in class problems. Due Thu. | |

F4.06 | 5.5 5.6 | driven oscillations | ||

M4.09 | 5.6 | resonance, Q factor | in class problems | |

W4.11 | 5.7 | FOURIER SERIES. calculating the fourier series, even and odd functions | ||

F4.13 | 5.7 | Fourier coefficients, Fourier series solution to the driven oscillator | ||

M4.16 | 6.1 6.3 | CALCULUS OF VARIATIONS. statement of the problem, applying the Euler-Lagrange (E-L) equations | ||

W4.18 | 6.2 6.3 | deriving the E-L equation, more application of E-L equation | probs due today 4/20 | |

F4.20 | NUMERICAL METHODS, PROJECT ASSIGNED. Project description and the Euler method | |||

M4.23 | 7.1 | LAGRANGE'S EQUATIONS. Hamilton's principle, Lagrangre's equations of motion. | probs due today 4/20 | |

W4.25 | exam review | Review sheet | ||

F4.27 | EXAM 2 | Review sheet | ||

2.21 | problems on air resistance | |||

2.23 | 2.3 | trajectory, range, Taylor series approx | ||

2.26 | 1.5 3.1 3.2 | Newton's 3rd law, conservation of momentum, rockets | ||

2.28 | 3.3 3.4 | center of mass, angular momentum | ||

3.02 |