费恩曼物理学讲义题解PDF电子书下载

A MEMOIR BY MATTHEW SANDS 1

1 Prerequisites 15

REVIEW LECTURE A 15

1-1 Introduction to the review lecture 15

1-2 Caltech from the bottom 16

1-3 Mathematics for physics 18

1-4 Differentiation 19

1-5 Integration 22

1-6 Vectors 23

1-7 Differentiating vectors 29

1-8 Line integrals 31

1-9 A simple example 33

1-10 Triangulation 38

2 Laws and Intuition 41

REVIEW LECTURE B 41

2-1 The physical laws 41

2-2 The nonrelativistic approximation 43

2-3 Motion with forces 44

2-4 Forces and their potentials 47

2-5 Learning physics by example 49

2-6 Understanding physics physically 50

2-7 A problem in machine design 53

2-8 Earth’s escape velocity 64

Alternate Solutions 67

A Finding the acceleration of the weight using geometry 67

B Finding the acceleration of the weight using trigonometry 68

C Finding the force on the weight using torque and angular momentum 69

3 Problems and Solutions 71

REVIEW LECTURE C 71

3-1 Satellite motion 71

3-2 Discovery of the atomic nucleus 76

3-3 The fundamental rocket equation 80

3-4 A numerical integration 82

3-5 Chemical rockets 84

3-6 Ion propulsion rockets 85

3-7 Photon propulsion rockets 88

3-8 An electrostatic proton beam deflector 88

3-9 Determining the mass of the pi meson 91

4 Dynamical Effects and Their Applications 96

4-1 A demonstration gyroscope 96

4-2 The directional gyro 97

4-3 The artificial horizon 98

4-4 A ship-stabilizing gyroscope 99

4-5 The gyrocompass 100

4-6 Improvements in gyroscopes design and construction 104

4-7 Accelerometers 111

4-8 A complete navigational system 115

4-9 Effects of the earth’s rotation 119

4-10 The spinning disk 122

4-11 Earth’s nutation 125

4-12 Angular momentum in astronomy 125

4-13 Angular momentum in quantum mechanics 127

4-14 After the lecture 128

5 Selected Exercises 135

5-1 Conservation of energy，statics 135

5-2 Kepler’s laws and gravitation 138

5-3 Kinematics 138

5-4 Newton’s laws 139

5-5 Conservation of momentum 141

5-6 Vectors 143

5-7 Nonrelativistic two-body collisions in 3 dimensions 144

5-8 Forces 144

5-9 Potentials and fields 145

5-10 Units and dimensions 147

5-11 Relativistic energy and momentum 147

5-12 Rotations in two dimensions，the center mass 148

5-13 Angular momentum，the moment of inertia 149

5-14 Rotation in three dimensions 151

Answers to Exercises 155

Photo Credits 159

Index to The Lectures 161