| 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
|
