Physics 310 - Intermediate Mechanics


Lecture notes - You should thank to Jocelyn Staller for scanning these!

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 7Oscillations 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51,
52, 53, 54, 55, 56, 57, 58.
September 14More oscillations 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70,
71, 72, 73, 74, 75, 76, 77
September 21Motion 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 28Non-inertial reference frames 98, 99, 100, 101, 102, 103, 104, 105, 106, 107,
September 30Review 110, 111, 112, 113, 114, 114, 115, 116, 117,
118, 119.
October 8Non-inertial reference frames 120, 121, 122, 123, 124, 125, 126, 127, 128.
October 14Planetary motion 129, 130, 131, 132, 133, 134, 135, 136, 137,
138, 139, 140.
October 19Planetary motion/ 141, 141a, 142, 143, 144, 145, 146, 147, 148,
systems of particles 149, 150, 151, 152, 153, 154, 155, 156.
October 26systems of particles/ 157, 158, 159, 160, 161, 162, 163, 164, 165,
rigid bodies 166, 167, 168, 169, 170, 171, 172, 173, 174, 175.
October 28Rigid bodies/ 176, 177, 178, 179, 180, 181, 182, 183, 184,
Inertia tensors 185, 186, 187, 188, 189, 190, 191, 192, 193.
November 9Motion of rigid bodies 194, 195, 196, 197, 198, 199, 200, 201, 202,
203, 204, 205.
November 11Review 206, 207, 208, 209, 210, 211.
November 18Lagrangian Mechanics 212, 213, 214, 215, 216, 218, 219, 220, 221,
222, 223, 224, 225, 226, 227.
November 29Lagrangian Mechanics 228, 229, 230, 231, 232, 233, 234, 235, 236,
237, 238, 239, 240, 242, 243.
December 7Lagrangian Mechanics for continuous media 244, 245, 246, 247, 248, 249.

What you need to know

SectionMaterial
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 motionNewton'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
OscillationsDifferential 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 motionIdentify 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