Lecture week | Material | Lecture notes |
---|---|---|

August 23 | Introduction, vectors | 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15. |

August 30 | Rectlinear motion | 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, |

28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39. | ||

September 7 | Oscillations | 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, |

52, 53, 54, 55, 56, 57, 58. | ||

September 14 | More oscillations | 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, |

71, 72, 73, 74, 75, 76, 77 | ||

September 21 | Motion in 3 dimensions | 77.5, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88. |

89, 90, 91, 92, 93, 94, 95, 96, 97. | ||

September 28 | Non-inertial reference frames | 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, |

September 30 | Review | 110, 111, 112, 113, 114, 114, 115, 116, 117, |

118, 119. | ||

October 8 | Non-inertial reference frames | 120, 121, 122, 123, 124, 125, 126, 127, 128. |

October 14 | Planetary motion | 129, 130, 131, 132, 133, 134, 135, 136, 137, |

138, 139, 140. | ||

October 19 | Planetary motion/ | 141, 141a, 142, 143, 144, 145, 146, 147, 148, |

systems of particles | 149, 150, 151, 152, 153, 154, 155, 156. | |

October 26 | systems of particles/ | 157, 158, 159, 160, 161, 162, 163, 164, 165, |

rigid bodies | 166, 167, 168, 169, 170, 171, 172, 173, 174, 175. | |

October 28 | Rigid bodies/ | 176, 177, 178, 179, 180, 181, 182, 183, 184, |

Inertia tensors | 185, 186, 187, 188, 189, 190, 191, 192, 193. | |

November 9 | Motion of rigid bodies | 194, 195, 196, 197, 198, 199, 200, 201, 202, |

203, 204, 205. | ||

November 11 | Review | 206, 207, 208, 209, 210, 211. |

November 18 | Lagrangian Mechanics | 212, 213, 214, 215, 216, 218, 219, 220, 221, |

222, 223, 224, 225, 226, 227. | ||

November 29 | Lagrangian Mechanics | 228, 229, 230, 231, 232, 233, 234, 235, 236, |

237, 238, 239, 240, 242, 243. | ||

December 7 | Lagrangian Mechanics for continuous media | 244, 245, 246, 247, 248, 249. |

Section | Material |
---|---|

Vectors | Definitions and algebraic properties of vectors |

Definition of a system of polar coordinates | |

Derivatives of vectors, calculating velocity and acceleration given a position vector | |

Rectlinear motion | Newton's 3rd law: F = m a |

Finding solutions by integration when F=constant | |

Forces that depend on position: definition of potential energy | |

Calculating V(x) given F(x), calculation of F(x) given V(x). | |

Definition of kinetic energy and total energy. | |

Can you derive that dE/dt = 0 starting from F=ma when F depends only on x? | |

Forces that depend on velocity: Integrating F(v) = m a | |

Oscillations | Differential equation for simple harmonic oscillator |

Types of solutions for underdamped, critically damped and overdamped oscillators | |

Properties of steady state solutions with a sinusoidal driving force | |

Resonance conditions, amplitude and phase of oscillations as functions of driving frequency | |

Properties of non-linear oscillators: frequency depends on amplitude, higher order harmonics | |

You should know, in principle, how and when to solve problems with a Fourier series | |

You should know, in principle, how and when to solve problems with Laplace transforms | |

You should know, in principle, how and when to solve problems numerically | |

You should know about some of the properties of chaotic motion. | |

3-d motion | Identify when the equations of motion are separable |

Solve separable problems using techniques covered for rectlinear motion | |

Determine whether a force is conservative | |

Calculate a 3-d force given a potential energy function | |

Describe the motion of a 3-d harmonic oscillator | |

Describe the motion of a charged particle in constant E and B fields | |

Solve problems involving motion constrained to a surface with conservative forces |