Newtonian Dynamics

An Introduction
1. Auflage 2021
ISBN: 978-1-032-04662-4
Verlag: CRC Press

Buch, Englisch, 284 Seiten, Format (B × H): 183 mm x 260 mm, Gewicht: 738 g

This textbook provides a comprehensive review of Newtonian dynamics at a level suitable for undergraduate physics students. It demonstrates that Newton’s three laws of motion, combined with a few simple force laws, not only can describe the motions of everyday objects observed on the surface of the Earth, but can also account for the motions of celestial objects seen in the sky. It helps bridge the problematic transition between elementary physics courses and upper-division physics courses. The book starts off at a level suitable for undergraduate (freshman) physics students and very gradually increases, until, toward the end, it approaches (but does not quite reach) a level characteristic of a graduate (senior) physics course.

Each chapter of the book ends with a large number of numerical and analytical exercises and, in all appropriate cases, the final answers to the exercises are specified. The large number of exercises will allow students to accurately test their understanding of the material presented in the book, ideal for students who are self-studying or are taking classes remotely.

Key Features:

- Provides a brief and accessible introduction to a complex topic

- Contains a more thorough treatment of the motions of heavenly bodies than conventional elementary mechanics texts

- Provides a wealth of end-of-chapter exercises to test understanding

Richard Fitzpatrick is a Professor of physics at the University of Texas at Austin, USA, where he has been a faculty member since 1994. He is a member of the Royal Astronomical Society, a fellow of the American Physical Society, and the author of several textbooks.

Autoren/Hrsg.

Fitzpatrick, Richard

Fachgebiete

• Naturwissenschaften Physik Mechanik Klassische Mechanik, Newtonsche Mechanik
• Geowissenschaften Geologie Geologie
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Naturwissenschaften Physik Quantenphysik Relativität, Gravitation
• Naturwissenschaften Physik Mechanik Energie
• Naturwissenschaften Physik Angewandte Physik Astrophysik

Inhaltsverzeichnis

Preface

Acknowledgements

Measurement and Units
Mks Units

Standard Prefixes

Other Units.
Dimensional Analysis

Experimental Errors

Exercises

Motion in One Dimension
Introduction

Displacement

Velocity

Acceleration

Motion with Constant Velocity

Motion with Constant Acceleration

Useful Results

Free-Fall Under Gravity

Exercises

Motion in Three Dimensions
Introduction

Vector Mathematics

Scalars and Vectors

Vector Algebra
Cartesian Components of a Vector

Coordinate Transformations

Scalar Product

Vector Product

Vector Displacement, Velocity, and Acceleration
Motion with Constant Velocity

Motion with Constant Acceleration
Projectile Motion

Relative Velocity

Exercises

Newton's Laws of Motion
Introduction

Newton's First Law of Motion

Newton's Second Law of Motion

Measurement of Force

Newton's Third Law of Motion

Mass, Weight, and Reaction
Block Resting on Earth's Surface

Block in an Elevator

Suspended Masses

Block Suspended by a Single Cable

Block Suspended by Three Cables
Two Blocks Suspended by Five Cables

Many Blocks Suspended by Many Cables

Catenary

Suspension Bridge

Cable-Pulley Systems

Simple Pulley

Compound Pulley

Table Pulley

Atwood Machine

Velocity-Dependent Forces
Friction

Inclined Planes

Smooth Planes

Rough Planes

Frames of Reference

Exercises

Conservation of Energy
Introduction

Energy Conservation During Free-Fall

Work

Conservative and Non-Conservative Force-Fields

Potential Energy

Hooke's Law

Motion in a General One-Dimensional Potential

Power

Exercises

Conservation of Momentum
Introduction

Two-Component Systems

Hot-Air Balloon

Cannon and Cannonball

Multi-Component Systems

Explosion of Krypton

Rocket Science

Impulses

Bouncing Ball

One-Dimensional Collisions

Elastic Collisions

Totally Inelastic Collisions

Inelastic Collisions

Two-Dimensional Collisions

Exercises

Circular Motion

Introduction

Uniform Circular Motion
Centripetal Acceleration

Rotating Weight on the End of a Cable

Banked Curve

Conical Pendulum

Non-Uniform Circular Motion

Vertical Pendulum

Motion on Curved Surfaces

Fairground Ride

Skier on a Hemispherical Mountain

Exercises

Rotational Motion
Introduction
Rigid Body Rotation

Is Rotation a Vector?

Center of Mass

Centroid of Regular Pyramid

Moment of Inertia

Perpendicular Axis Theorem

Parallel Axis Theorem

Moment of Inertia of a Circular Disk
Standard Moments of Inertia

Torque

Power and Work

Translational Motion Versus Rotational Motion

Unwinding Pulley

Physics of Baseball Bats
Combined Translational and Rotational Motion

Cylinder Rolling Down a Rough Incline
Exercises

Angular Momentum
Introduction

Angular Momentum of a Point Particle

Angular Momentum of an Extended Object

Angular Momentum of a Multi-Component System

Conservation of Angular Momentum

Two Movable Weights on a Rotating Rod

Figure Skater

Bullet Striking a Pivoted Rod

Spinning Top
Exercises

Statics
Introduction

Principles of Statics

Equilibrium of a Laminar Object

Rods and Cables

Horizontal Rod Suspended from Two Cables

Pivoting Horizontal Rod Supported by a Cable
Ladders and Walls

Jointed Rods

Tipping or Sliding?
Exercises

Oscillatory Motion

Introduction

Simple Harmonic Motion

Torsion Pendulum

Simple Pendulum

Compound Pendulum

Exercises

Rotating Reference Frames
Introduction

Rotating Reference Frames

Centrifugal Acceleration

Coriolis Force
Foucault Pendulum

Exercises

Newtonian Gravity

Introduction

Universal Gravity

Surface Gravity

Gravitational Potential Energy

Escape Velocity

Circular Orbits

Lunar Orbital Period

Geostationary Satellites

Exercises

Orbital Motion
Introduction

Kepler's Laws

Planetary Equations of Motion

Conic Sections

Kepler's Second Law

Kepler's First Law

Kepler's Third Law

Orbital Parameters

Orbital Energies

Transfer Orbits

Low-Eccentricity Orbits

Two-Body Dynamics

Binary Star Systems

Exercises

Gravitational Potential Theory
Introduction
Gravitational Potential
Axially-Symmetric Mass Distributions

Gravitational Potential due to a Uniform Sphere

Gravitational Potential Outside a Uniform Spheroid

Rotational Flattening

Rotational Flattening of Earth

Tidal Elongation

Tidal Elongation of Earth due to Moon
Tidal Elongation of Earth due to Sun
Ocean Tides

Luni-Solar Precession

Exercises

Useful Mathematics

Calculus

Series Expansions

Trigonometric Identities

Hyperbolic Identities

Complex Identities

Vector Identities

Bibliography
Index

Über Autor(innen)

Richard Fitzpatrick is a Professor of physics at the University of Texas at Austin, USA, where he has been a faculty member since 1994. He is a member of the Royal Astronomical Society, a fellow of the American Physical Society, and the author of several textbooks.