Lecture Notes

by Lachlan Dufort-Kennett

  1. Preface
  2. 1 Newton’s Laws of Motion
  3. 2 Linear Momentum
  4. 3 Energy & Work
  5. 4 Angular Motion
  6. 5 Angular Momentum
  7. 6 Oscillations
  8. 7 Waves

Classical Mechanics

  1. Preface
  2. 1 Newton’s Laws of Motion
    1. 1.1 Introduction
    2. 1.2 Motion in One Dimension
    3. 1.3 Constant Acceleration
    4. 1.4 Motion in Mulitple Dimensions
    5. 1.5 Forces
    6. 1.6 Projectile Motion
    7. 1.7 Friction
    8. 1.8 Gravitation
  3. 2 Linear Momentum
    1. 2.1 Conservation of Momentum
    2. 2.2 Centre of Mass
    3. 2.3 Continuous Extended Objects
    4. 2.4 Impulse
    5. 2.5 Transforming Between Reference Frames
  4. 3 Energy & Work
    1. 3.1 The Conservation of Energy
    2. 3.2 Work
    3. 3.3 Work-Energy Theorem
    4. 3.4 Conservative Forces
    5. 3.5 Energy in a System of Multiple Particles
    6. 3.6 Non-conservative Forces
    7. 3.7 Collisions
  5. 4 Angular Motion
    1. 4.1 Polar Coordinates in Two Dimensions
    2. 4.2 Angular Kinematics
    3. 4.3 Constant Angular Acceleration
    4. 4.4 Uniform Circular Motion
    5. 4.5 Rigid Body Rotation
  6. 5 Angular Momentum
    1. 5.1 Moments
    2. 5.2 Central Forces
    3. 5.3 Torque
    4. 5.4 Torque and Angular Momentum for Systems of Particles
    5. 5.5 Dynamics of Rigid Bodies
    6. 5.6 Rolling Motion
    7. 5.7 Static Equilibrium
  7. 6 Oscillations
    1. 6.1 Simple Harmonic Motion
    2. 6.2 Physical Pendula
    3. 6.3 Energy in Simple Harmonic Motion
    4. 6.4 Damped Oscillations
    5. 6.5 Forced Oscillations
    6. 6.6 Coupled Oscillations and Normal Modes
  8. 7 Waves
    1. 7.1 The Wave Equation
    2. 7.2 Superposition of Waves
    3. 7.3 Phase Velocity & Group Velocity
    4. 7.4 Transverse Waves on a String
    5. 7.5 Boundaries, Transmission, and Reflection
    6. 7.6 Normal Modes and Fourier Series
    7. 7.7 Sound Waves
    8. 7.8 Longitudinal Standing Waves
    9. 7.9 The Doppler Effect
    10. 7.10 Wave Interference
Preface
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