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
