力學

本書是教育部、財政部聯合批准的g家級雙語教學示範課程——力學課程英文版教材建設的成果。本書根據我國現行高等院校物理專業力學課程教學大綱編寫，包括十二章內容：質點運動學、牛頓運動定律、動量、動能和勢能、角動量、萬有引力定律、剛體力學、彈性體的應力與應變、流體力學、振動、波動和聲、狹義相對論。

本書抓住國際、國內優秀物理學教材的編寫特點編寫，結構清晰、簡明扼要。本書加強了力學與現代科技、日常生產和生活及其他學科的聯繫，努力將計算物理的方法融入力學課程教學之中。

本書可作為高等院校本科物理類專業力學課程的雙語教材，也可供相關專業師生參考。 ^[1] 

Chapter 1 Kinematics of Particles……………………………………………………………...1

1.1 Reference Frame and Particle Model………………………………………............................2

1.2 Kinematical Equation of a particle…………………………………………………………….3

1.3 Instantaneous Velocity and Instantaneous Acceleration……………………………………...5

1.4 Rectilinear motion…………………………………………………………………………...10

1.5 Projectile Motion…………………………………………………………………………….14

1.6 Curvilinear Motion…………………………………………………………………………..20

1.7 Relative Motion and Galilean transformation…………………………………………………………...26

Review & Summary ……………………………………………………………………………..…………

Discussion Questions ……………………………………………………………………………..…………

Problems ……………………………………………………………………………..………………………

Chapter 2 Newton’s Laws of Motion………………………………………………………….

2.1 Newton’s Laws of Motion …………………………………………………………………………...

2.2 General Forces Encountered in Everyday Life ………………………………………………………...

2.3 Applications of Newton’s Laws of Motion ………………………………………………………….

2.4 Non-inertial Frames and inertial Forces ………………………………………………………………..

*2.5Numerical integration ……………………………………………………………………………..

Review & Summary ……………………………………………………………………………..…………

Discussion Questions ……………………………………………………………………………..…………

Problems ……………………………………………………………………………..………………………

Chapter 3 Momentum………………………………………………………………………….

3.1 Momentum and Newton’s Second Law of Motion……………………………………………………….

3.2 Impulse and the Impulse-Momentum Theorem………………………………………………………..

3.3 Center of Mass and Kinetic Theorem of the Center of Mass…………………………………………………..

3.4 The Law of Conservation of Momentum……………………………………………………………………

3.5 The Motion of Rocket……………………………………………………………………………………….

Review & Summary ……………………………………………………………………………..…………

Discussion Questions ……………………………………………………………………………..…………

Problems ……………………………………………………………………………..………………………

Chapter 4 Work and Energy…………………………………………………………………..

4.1 Work……………………………………………………………………………………………………

4.2 The work-kinetic energy theorem……………………………………………………………………....

4.3 Conservative force, nonconservative force and potential energy……………………………………………

4.4 The law of conservation of mechanical energy…………………………………………………………..

4.5 Collisions……………………………………………………………………………………………...

Review & Summary ……………………………………………………………………………..…………

Discussion Questions ……………………………………………………………………………..…………

Problems ……………………………………………………………………………..………………………

Chapter 5 Angular momentum……………………………………………………………….

5.1 Angular momentum of a particle with respect to a reference point ……………………………………...

5.2 Angular momentum of a particle with respect to a fixed axis ………………………………………………..

5.3 Angular momentum of a system of particles……………………………………………………………...

Review & Summary ……………………………………………………………………………..…………

Discussion Questions ……………………………………………………………………………..…………

Problems ……………………………………………………………………………..………………………

Chapter 6 Gravitation………………………………………………………………………...

6.1 Kepler’s Laws………………………………………………………………………………

6.2 Newton’s Law of Universal Gravitation……………………………………………………………....

6.3Gravitational Field and Satellite Motion……………………………………………………………...

6.4Gravitational Potential Energy and Three Cosmic Velocities………………………………………..

Chapter 7 Mechanics of Rigid Bodies……………………………………………………….

7.1 Classification of the Motion of Rigid Bodies…………………………………………………………

7.2 Translational Motion and Theorem of Motion of COM…………………………………………………...

7.3 Rotation of Rigid Body about a Fixed Axis………………………………………………………………..

7.4 Rotational Inertia Calculations…………………………………………………………………..

7.5 Angular Work-kinetic Energy Theorem and

Moment of Impulse-angular Momentum Theorem……………………………………………………………

7.6 Plane-parallel Motion of Rigid Bodies………………………………………………………………..

7.7 Equilibrium of Rigid Bodies…………………………………………………………………….

7.8 Procession of a Gyroscope………………………………………………………………………

Review & Summary ……………………………………………………………………………..…………

Discussion Questions ……………………………………………………………………………..…………

Problems ……………………………………………………………………………..………………………

Chapter 8 Fluid Mechanics…………………………………………………………………..

8.1 Static hydrodynamics ……………………………………………………………………………………..

8.2 Motion of an idea fluid……………………………………………………………………………………..

8.3 Bernoulli’s Equation…………………………………………………………………………………..

8.4 Motion of viscous fluid…………………………………………………………………………………….

Review & Summary ……………………………………………………………………………..…………

Discussion Questions ……………………………………………………………………………..…………

Problems ……………………………………………………………………………..………………………

Chapter 9 Elasticity………………………………………………………………………...

9.1Tensile and Compressive Deformation of Elastic Body……………………………………………………...

9.2 Shearing Deformation of Elastic Body…………………………………………………………………….

9.3 Bending and Twisting Deformation……………………………………………………………………………

Review & Summary ……………………………………………………………………………..…………

Discussion Questions ……………………………………………………………………………..…………

Problems ……………………………………………………………………………..………………………

Chapter 10 Oscillations………………………………………………………………………...

10.1 Simple harmonic motion……………………………………………………………………………...

10.2 Comparing SHM with UCM………………………………………………………………………….

10.3 Energy in simple harmonic oscillator…………………………………………………………………

10.4 Combination of SHM…………………………………………………………………………………

10.5 Damped oscillation……………………………………………………………………………………

10.6 Forced oscillation and resonance…………………………………………………………………………..

Review & Summary ……………………………………………………………………………..…………

Discussion Questions ……………………………………………………………………………..…………

Problems ……………………………………………………………………………..………………………

Chapter 11 Wave Motion and Sound Waves……………………………………………….

11.1 Basic concept of waves…………………………………………………………………………………..

11.2 Mathematical description of a wave………………………………………………………………………..

11.3 Wave equation and wave speed…………………………………………………………………………..

11.4 Energy of waves………………………………………………………………………………………….

11.5 Huygens principle, Reflection and Diffraction of waves…………………………………………………

11.6 Superposition and Interference……………………………………………………………………………

11.7 Standing waves………………………………………………………………………………………

11.8 Sound waves………………………………………………………………………………………………

11.9 The Doppler Effect………………………………………………………………………………………..

Review & Summary ……………………………………………………………………………..…………

Discussion Questions ……………………………………………………………………………..…………

Problems ……………………………………………………………………………..………………………

Chapter 12 Special Theory of Relativity…………………………………………………

12.1 The Background of the Birth of the Special Theory of Relativity………………………………………….

12.2 Einstein’s Postulates of Relativity and the Lorentz Transformations Equations………………………..

12.3 The Space-Time Theory of Relativity……………………………………………………………………..

12.4 The Velocity Transformation of Relativity………………………………………………………….

12.5 Relativistic Momentum and Relativistic Energy……………………………………………….………

12.6 Introduction to the General Theory of Relativity ……………………………………………………..

Review & Summary ……………………………………………………………………………..…………

Discussion Questions ……………………………………………………………………………..…………

Problems ……………………………………………………………………………..……………………… ^[1]