普通高等学校双语教学规划教材 理论力学 英文版PDF电子书下载

Introduction 1

Chapter 1 Kinematics of Particles 3

1.1 Description of the particle motion 3

1.2 Representation of velocity and acceleration in components 8

Questions 13

Chapter 2 Dynamics of Particles 14

2.1 Basic laws of dynamics 14

2.2 Work and energy 18

2.3 Equation of motion 23

2.4 Velocity-dependent equation of motion 29

2.5 Position-dependent equation of motion 36

2.6 Inertial and non-inertial reference system,Galileo principle of relativity 40

2.7 Fundamental laws and conservation laws 44

Questions 49

Chapter 3 Mechanics of the particle group 51

3.1 Particle group 51

3.2 Theorem of momentum and conservation of momentum 53

3.3 Theorem of angular momentum and conservation of angular momentum 56

3.4 Theorem of kinetic energy and conservation of energy 59

3.5 Two-body problem 62

3.6 Center of mass coordinate and laboratory coordinate 65

3.7 Motion of the variable mass 69

Questions 74

Chapter 4 Mechanics of rigid body 75

4.1 Description of the rigid body motion 75

4.2 Vector of angular velocity 77

4.3 Euler angles 81

4.4 Motion equation of the rigid body 83

4.5 Principal axes transformation and inertia ellipsoid 86

4.6 Euler’s equation of motion and symmetrical top 92

4.7 Motion in non-inertia system 95

4.8 Application of non-inertia system 99

Questions 105

Chapter 5 Analytical mechanics 106

5.1 Generalized coordinates and generalized force 106

5.2 Lagrangian equation 111

5.3 Variational principles of mechanics 116

5.4 Symmetry and conservation law 121

5.5 Lagrangian undetermined multiplies 126

5.6 Hamiltonian equations of motion 130

5.7 Canonical transformation,Hamilton-Jacobi equation 135

5.8 Poisson bracket,phase space and Liouville’s theorem 140

Questions 143

Chapter 6 Central Force 145

6.1 Motion in central force field 145

6.2 Effective potential and general solutions 149

6.3 Inverse square 1aw of force 153

6.4 Stability of orbits and perturbation 158

6.5 Motion of central force 163

Questions 168

Bibliography 169