Nguồn ngoài

Mechanics and Relativity

In Mechanics and Relativity, the reader is taken on a tour through time and space. Starting from the basic axioms formulated by Newton and Einstein, the theory of motion at both the everyday and the highly relativistic level is developed without the need of prior knowledge. Applications covered in the book span a wide range of physical phenomena, including rocket motion, spinning tennis rackets and high-energy particle collisions.

University Physics Physics

Tác giả: Timon Idema
Nhà xuất bản: Delft University of Technology
Nguồn: LibreTexts
Giấy phép: CC BY-NC-SA
Ngôn ngữ: EN
Danh mục: Khoa học cơ bản

Đọc trực tuyến Tải PDF (nguồn mở)

Mục lục· 103 mục

01: Introduction to Classical Mechanics
1.01: Dimensions and Units
1.02: Dimensional Analysis
1.E: Introduction to Classical Mechanics (Exercises)
02: Forces
2.01: Newton's Laws of Motion
2.02: Force Laws
2.03: Equations of Motion
2.04: Multiple Forces
2.05: Statics
2.06: Solving the Equations of Motion in Three Special Cases
2.E: Forces (Exercises)
03: Energy
3.01: Work
3.02: Kinetic Energy
3.03: Potential Energy
3.04: Conservation of Energy
3.05: Energy Landscapes
3.E: Energy (Exercises)
04: Momentum
4.01: Center of Mass
4.02: Conservation of Momentum
4.03: Reference Frames
4.04: Rocket Science
4.05: Collisions
4.06: Totally Inelastic Collisions
4.07: Totally Elastic Collisions
4.08: Elastic Collisions in the COM Frame
4.E: Momentum (Exercises)
05: Rotational Motion Torque and Angular Momentum
5.01: Rotation Basics
5.02: Centripetal Force
5.03: Torque
5.04: Moment of Inertia
5.05: Kinetic Energy of Rotation
5.06: Angular Momentum
5.07: Conservation of Angular Momentum
5.08: Rolling and Slipping Motion
5.09: Precession and Nutation
5.E: Rotational Motion Torque and Angular Momentum (Exercises)
06: General Planar Motion
6.01: Projectile Motion
6.02: General Planar Motion in Polar Coordinates
6.03: Motion Under the Action of a Central Force
6.04: Kepler's Laws
6.E: General Planar Motion (Exercises)
07: General Rotational Motion
7.01: Linear and Angular Velocity
7.02: Rotating Reference Frames
7.03: Rotations About an Arbitrary Axis
7.E: General Rotational Motion (Exercises)
08: Oscillations
8.01: Oscillatory Motion
8.02: Damped Harmonic Oscillator
8.03: Driven Harmonic Oscillator
8.04: Coupled Oscillators
8.E: Oscillations (Exercises)
09: Waves
9.01: Sinusoidal Waves
9.02: The Wave Equation
9.03: Solution of the One-Dimensional Wave Equation
9.04: Wave Superposition
9.05: Amplitude Modulation
9.06: Sound Waves
9.07: The Doppler Effect
9.E: Waves (Exercises)
10: Einstein's Postulates
10.01: An Old and a New Axiom
10.02: Consequences of Einstein's Postulates
10.E: Einstein's Postulates (Exercises)
11: Lorentz Transformations
11.01: Classical Case- Galilean Transformations
11.02: Derivation of the Lorentz Transformations
11.03: Some Consequences of the Lorentz Transformations
11.04: Rapidity and Repeated Lorentz Transformations
11.E: Lorentz Transformations (Exercises)
12: Spacetime Diagrams
12.01: Time Dialation and Space Contraction Revisited
12.02: An Invariant Measure of Length
12.03: Worldlines and Proper Time
12.E: Spacetime Diagrams (Exercises)
13: Position Energy and Momentum in Special Relativity
13.01: The Position Four-Vector
13.02: Lorentz Transformation Matrix and Metric Tensor
13.03: Velocity and Momentum Four-Vectors
13.04: Relativistic Energy
13.05: Conservation of Energy and Momentum
13.E: Position Energy and Momentum in Special Relativity (Exercises)
14: Relativistic Collisions
14.01: Prelude to Relativistic Collisions
14.02: Photons
14.03: Totally Inelastic Collision
14.04: Radioactive Decay and the Center-of-Momentum Frame
14.05: Totally Elastic Collision - Compton Scattering
14.E: Relativistic Collisions (Exercises)
15: Relativistic Forces and Waves
15.01: The Force Four-Vector
15.02: The Four-Acceleration
15.03: Relativistic Waves
15.E: Relativistic Forces and Waves (Exercises)
16: Appendices
16.A: Math
16.B: Some Equations and Constants