Title A Course in Classical Physics. 1_Mechanics_A.Bettini.pdf Mechanics Rotation Around A Fixed Axis Axiom 9.4 MB 400
```                            Preface
Acknowledgments
Contents
Symbols and Units
1 Space, Time and Motion
1.1 Measurement of Physical Quantities
1.2 The International System (SI)
1.3 Space and Time
1.4 Vectors
1.5 Operations with Vectors
1.6 Scalar Product of Two Vectors
1.7 Vector Product of Two Vectors
1.8 Bound Vectors, Moment, Couple
1.9 Matrices
1.10 Velocity
1.11 Angular Velocity
1.12 Acceleration
1.13 Time Derivative of a Vector
1.14 Motion on the Plane
1.15 From Acceleration to Motion
1.16 Free Fall Motion
1.17 Scalars, Pseudoscalars, Vectors and Pseudovectors
Problems
2 Dynamics of a Material Point
2.1 Force, Operational Definition
2.2 Force Is a Vector
2.3 The Law of Inertia
2.4 The Newton Laws of Motion
2.5 Weight
2.6 Examples
2.7 Curvilinear Motion
2.8 Angular Momentum and Moment of a Force
2.9 The Simple Pendulum
2.10 The Work of a Force. The Kinetic Energy Theorem
2.11 Calculating Work
2.12 An Experiment of Galilei on Energy Conservation
2.13 Conservative Forces
2.14 Energy Conservation
2.15 A Theorem Concerning Central Forces
2.16 Power
Problems
3 The Forces
3.1 Elastic Force
3.2 Harmonic Motion
3.3 Intermolecular Forces
3.4 Contact Forces. Constraint Forces
3.5 Friction
3.6 Viscous Drag
3.7 Air Drag and Independence of Motions
3.8 Damped Oscillator
3.9 Forced Oscillator. Resonance
3.10 Energy Diagrams in One Dimension
3.11 Energy Diagrams for Relevant Forces
Problems
4 Gravitation
4.1 The Orbits of the Planets
4.2 The Periods of the Planets and the Radii of Their Orbits
4.3 The Kepler Laws
4.4 The Newton Law
4.5 The Moon and the Apple
4.6 The Gravitational Force of the Homogeneous Sphere
4.7 Measuring the Newton Constant
4.8 The Gravitational Field
4.9 Galilei and the Jovian System
4.10 Galaxies, Clusters and Something Else
4.11 Elliptic Orbits
4.12 The Newton Solution
4.13 The Constants of Motion
Problems
5 Relative Motions
5.1 Covariance of the Physical Laws Under Rotations and Translations
5.2 Uniform Relative Translation. Relativity Principle
5.3 Non-uniform Translation. Pseudo Forces
5.4 Rotation and Translation. Pseudo Forces
5.5 Motion in a Rotating Frame
5.6 The Inertial Frame
5.7 Earth, as a Non-inertial Frame
5.8 The Eötvös Experiment
Problems
6 Relativity
6.1 Does an Absolute Reference Frame Exist?
6.2 The Michelson and Morley Experiment
6.3 The Lorentz Transformations
6.4 Criticism of Simultaneity
6.5 Dilation of Time Intervals
6.6 Contraction of Distances
6.8 Space-Time
6.9 Momentum, Energy and Mass
6.10 Mass, Momentum and Energy for a System of Particles
6.11 Force and acceleration
6.12 Lorentz Covariance of the Physics Laws
6.13 What Is Equal and What Is Different
Problems
7 Extended Systems
7.1 Interaction Energy
7.2 Centre of Mass and Reduced Mass
7.3 Double Stars
7.4 Tides
7.5 Impulse and Momentum
7.6 The Action-Reaction Law
7.7 Action, Reaction and Linear Momentum Conservation
7.8 Systems of Particles
7.9 The Center of Mass
7.10 Linear Momentum Conservation
7.11 Continuous Systems
7.12 Angular Momentum
7.13 Angular Momentum Conservation
7.14 Energy of a Mechanical System
7.15 Center of Mass Reference Frame
7.16 The König Theorems
7.17 Elastic Collisions
7.18 Inelastic Collisions
Problems
8 Rigid Bodies
8.1 Rigid Bodies and Their Movements
8.2 Applied Forces
8.3 Equilibrium of the Rigid Bodies
8.4 Rotation About a Fixed Axis
8.5 Conservation Angular Momentum About an Axis
8.6 Work and Kinetic Energy
8.7 Calculating Inertia Moments
8.8 Theorems on the Moments of Inertia
8.9 Torsion Balance
8.10 Composite Pendulum
8.11 Dumbbell
8.12 Angular Momentum About a Fixed Pole
8.13 Kinetic Energy
8.14 Rotation About a Fixed Axis. Forces on the Supports
8.15 Rolling Motion
8.16 Rolling on an Inclined Plane
8.17 Gyroscopes
8.18 Collisions Between Material Systems
8.19 The Virtual Works Principle
Problems
Solutions
Index
```