目录 Part I Newtonian Mechanics in Moving Coordinate Systems 1 Newton's Equations in a Rotating Coordinate System 1.1 Introduction of the Operator D 1.2 Formulation of Newton's Equation in the Rotating Coordinate System 1.3 Newton's Equations in Systems with Arbitrary Relative Motion 2 Free Fall on the Rotating Earth 2.1 Perturbation Calculation 2.2 Method of Successive Approximation 2.3 Exact Solution 3 Foucault's Pendulum 3.1 Solution of the Differential Equations 3.2 Discussion of the Solution Part II Mechanics of Particle Systems 4 Degrees of Freedom 4.1 Degrees of Freedom of a Rigid Body 5 Center of Gravity 6 Mechanical Fundamental Quantities of Systems of Mass Points 6.1 Linear Momentum of the Many-Body System 6.2 Angular Momentum of the Many-Body System 6.3 Energy Law of the Many-Body System 6.4 Transformation to Center-of-Mass Coordinates 6.5 Transformation of the Kinetic Energy Part III Vibrating Systems 7 Vibrations of Coupled Mass Points 7.1 The Vibrating Chain 8 The Vibrating String 8.1 Solution of the Wave Equation 8.2 Normal Vibrations 9 Fourier Series 10 The Vibrating Membrane 10.1 Derivation of the Differential Equation 10.2 Solution of the Differential Equation 10.3 Inclusion of the Boundary Conditions 10.4 Eigenfrequencies 10.5 Degeneracy 10.6 Nodal Lines 10.7 General Solution 10.8 Superposition of Node Line Figures 10.9 The Circular Membrane 10.10 Solution of Bessel's Differential Equation Part IV Mechanics of Rigid Bodies 11 Rotation About a Fixed Axis 11.1 Moment of Inertia 11.2 The Physical Pendulum 12 Rotation About a Point 12.1 Tensor of Inertia 12.2 Kinetic Energy of a Rotating Rigid Body 12.3 The Principal Axes of Inertia 12.4 Existence and Orthogonality of the Principal Axes 12.5 Transformation of the Tensor of Inertia
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