For 40 years, Kleppner and Kolenkow's classic text has introduced students to the principles of mechanics. Now brought up to date, this revised and improved second edition is ideal for classical mechanics courses for first- and second-year undergraduates with foundation skills in mathematics. The book retains all the features of the first edition, including numerous worked examples, challenging problems and extensive illustrations, and has been restructured to improve the flow of ideas. It now features new examples taken from recent developments, such as laser slowing of atoms, exoplanets and black holes; a 'Hints, Clues and Answers' section for the end-of-chapter problems to support student learning; and a solutions manual for instructors at www.cambridge.org/kandk.
This second edition is ideal for classical mechanics courses for first- and second-year undergraduates with foundation skills in mathematics.
A classic textbook on the principles of Newtonian mechanics for undergraduate students, accompanied by numerous worked examples and problems.
AN INTRODUCTION TO MECHANICS OF MATERIALS attempts to deal with the subject as an engineering science with a clear elaboration of the central scheme of dealing with this subject, namely, delinking the geometry aspects of the subject from the materials aspects. This is achieved by using explicitly the three-step scheme of macro (forces) to micro (stresses) conversion, transforming at the micro level (from stresses to strains), and then converting back to the macro level (deformations), or vice versa. Another aspect which has been emphasised considerably is the construction of idealized models of the physical structures such that they are amenable to analysis with the mathematical tools available with a beginning engineering student. The level of mathematics used has been kept at the very minimum, without sacrificing the rigour. In the belief that not all readers would have sufficient familiarity with the engineering aspects of many applications discussed, considerable amount of details about these have been included wherever feasible. SUPPLEMENTS AVAILABLE ON REQUEST FOR TEACHERS * CD of Solutions Manual * CD of Power Point Presentation
This textbook covers all the standard introductory topics in classical mechanics, including Newton's laws, oscillations, energy, momentum, angular momentum, planetary motion, and special relativity. It also explores more advanced topics, such as normal modes, the Lagrangian method, gyroscopic motion, fictitious forces, 4-vectors, and general relativity. It contains more than 250 problems with detailed solutions so students can easily check their understanding of the topic. There are also over 350 unworked exercises which are ideal for homework assignments. Password protected solutions are available to instructors at www.cambridge.org/9780521876223. The vast number of problems alone makes it an ideal supplementary text for all levels of undergraduate physics courses in classical mechanics. Remarks are scattered throughout the text, discussing issues that are often glossed over in other textbooks, and it is thoroughly illustrated with more than 600 figures to help demonstrate key concepts.
to Mechanics of Human Movetnent by James Watkins Scottish School oj Physical Education lordanhill College oj Education, Glasgow, Scotland 1983 M. TP PRESS LIM. ITED . . . . a member of (he KLUWER ACADEMIC PUBLISHERS GROteP BOSTON / THE HAGUE! DORDRECHT ! LANCASTER " Published by MTP Press Limited Lancaster, England Copyright © 1983 MTP Press Limited Softcover reprint of the hardcover 1st edition 1983 First published 1983 All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, without prior permission from the publishers. British Library Cataloguing in Publication Data Watkins, James An introduction to mechanics of human movement 1. Human locomotion I. Title 612476 QP303 ISBN-13: 978-94-011-7815-0 e-ISBN-13: 978-94-011-7813-6 DOl: 10. 1007/978-94-01\-7813-6 Typeset by Blackpool Typesetting Services Ltd. , Blackpool. Bound by WBC Bookbinders Ltd. , Maesteg, Mid Glamorgan. Contents PREFACE vii INTRODUCTION Mechanics of human movement 1 1. 1 1. 2 Forms of motion 2 1. 3 Units 3 LINEAR MOTION 2 2. 1 Distance and speed, displacement and velocity 4 2. 2 Acceleration 11 2. 3 Vector and scalar quantities 13 2. 4 Mass, inertia and linear momentum 21 2. 5 Force and Newton's First Law of Motion 21 2. 6 Newton's Law of Gravitation (law of attraction); gravity and weight 23 2. 7 Newton's second law of motion; the impulse of a force 27 2. 8 Units of force 31 2.
This best-selling textbook presents the concepts of continuum mechanics, and the second edition includes additional explanations, examples and exercises.
An Introduction to Lagrangian Mechanics begins with a proper historical perspective on the Lagrangian method by presenting Fermat's Principle of Least Time (as an introduction to the Calculus of Variations) as well as the principles of Maupertuis, Jacobi, and d'Alembert that preceded Hamilton's formulation of the Principle of Least Action, from which the Euler–Lagrange equations of motion are derived. Other additional topics not traditionally presented in undergraduate textbooks include the treatment of constraint forces in Lagrangian Mechanics; Routh's procedure for Lagrangian systems with symmetries; the art of numerical analysis for physical systems; variational formulations for several continuous Lagrangian systems; an introduction to elliptic functions with applications in Classical Mechanics; and Noncanonical Hamiltonian Mechanics and perturbation theory. The Second Edition includes a larger selection of examples and problems (with hints) in each chapter and continues the strong emphasis of the First Edition on the development and application of mathematical methods (mostly calculus) to the solution of problems in Classical Mechanics. New material has been added to most chapters. For example, a new derivation of the Noether theorem for discrete Lagrangian systems is given and a modified Rutherford scattering problem is solved exactly to show that the total scattering cross section associated with a confined potential (i.e., which vanishes beyond a certain radius) yields the hard-sphere result. The Frenet-Serret formulas for the Coriolis-corrected projectile motion are presented, where the Frenet-Serret torsion is shown to be directly related to the Coriolis deflection, and a new treatment of the sleeping-top problem is given.
A clear, concise introduction to all the major features of solar system dynamics, ideal for a first course.
Concerned with the mechanics of rigid and deformable solids in equilibrium, this text An Introduction to the Mechanics of Solids puts considerable emphasis on the process of constructing idealized model to represent actual physical situations, which is a central problem of engineering. Problems given in the book depict variety of situations, to which the principles contained in the book may be applied.
Unlike many other texts on differential geometry, this textbook also offers interesting applications to geometric mechanics and general relativity. The first part is a concise and self-contained introduction to the basics of manifolds, differential forms, metrics and curvature. The second part studies applications to mechanics and relativity including the proofs of the Hawking and Penrose singularity theorems. It can be independently used for one-semester courses in either of these subjects. The main ideas are illustrated and further developed by numerous examples and over 300 exercises. Detailed solutions are provided for many of these exercises, making An Introduction to Riemannian Geometry ideal for self-study.
Based on a Cal Tech course, this is an outstanding introduction to formal quantum mechanics for advanced undergraduates in applied physics. The treatment's exploration of a wide range of topics culminates in two eminently practical subjects, the semiconductor transistor and the laser. Each chapter concludes with a set of problems. 1982 edition.
North-Holland Series in Applied Mathematics and Mechanics, Volume 21: An Introduction to Thermomechanics, Second Revised Edition focuses on the methodologies, reactions, and processes involved in thermomechanics, including kinematics, thermodynamics, elasticity, and tensors. The book first offers information on kinematics, kinetics, and thermodynamics. Discussions focus on field theory, state variables, momentum theorems, state of stress, energy theorem, state of motion, small displacements, and material derivatives. The manuscript then ponders on material properties, ideal liquids, linear elasticity, and inviscid gases. The text elaborates on viscous fluids, plastic bodies, viscoelasticity, and general tensors. Topics include tensor algebra, mechanical constitutive relations, thermomechanical extension, hereditary integrals, perfectly plastic bodies, turbulence, and basic equations. The book then reviews viscoelastic bodies, plasticity, non-Newtonian liquids, and maximal dissipation. The publication is a valuable reference for researchers wanting to dig deeper into thermomechanics.
A development of the basic theory and applications of mechanics with an emphasis on the role of symmetry. The book includes numerous specific applications, making it beneficial to physicists and engineers. Specific examples and applications show how the theory works, backed by up-to-date techniques, all of which make the text accessible to a wide variety of readers, especially senior undergraduates and graduates in mathematics, physics and engineering. This second edition has been rewritten and updated for clarity throughout, with a major revamping and expansion of the exercises. Internet supplements containing additional material are also available.
A compact, moderately general book which encompasses many fluid models of current interest...The book is written very clearly and contains a large number of exercises and their solutions. The level of mathematics is that commonly taught to undergraduates in mathematics departments.. —Mathematical Reviews The book should be useful for graduates and researchers not only in applied mathematics and mechanical engineering but also in advanced materials science and technology...Each public scientific library as well as hydrodynamics hand libraries should own this timeless book...Everyone who decides to buy this book can be sure to have bought a classic of science and the heritage of an outstanding scientist. —Silikáty All applied mathematicians, mechanical engineers, aerospace engineers, and engineering mechanics graduates and researchers will find the book an essential reading resource for fluids. —Simulation News Europe
Classic text still unsurpassed in presentation of fundamental principles. Covers rectilinear motion, central forces, problems of two and three bodies, much more. Includes over 200 problems, some with answers.
This textbook teaches classical mechanics as one of the foundations of physics. It describes the mechanical stability and motion in physical systems ranging from the molecular to the galactic scale. Aside from the standard topics of mechanics in the physics curriculum, this book includes an introduction to the theory of elasticity and its use in selected modern engineering applications, e.g. dynamic mechanical analysis of viscoelastic materials. The text also covers many aspects of numerical mechanics, ranging from the solution of ordinary differential equations, including molecular dynamics simulation of many particle systems, to the finite element method. Attendant Mathematica programs or parts thereof are provided in conjunction with selected examples. Numerous links allow the reader to connect to related subjects and research topics. Among others this includes statistical mechanics (separate chapter), quantum mechanics, space flight, galactic dynamics, friction, and vibration spectroscopy. An introductory chapter compiles all essential mathematical tools, ranging from coordinates to complex numbers. Completely solved problems and examples facilitate a thorough understanding of the material.
This new introductory mechanics textbook is written for engineering students within further and higher education who are looking to bridge the gap between A-Level and university or college. It introduces key concepts in a clear and straightforward manner, with reference to real-world applications and thoroughly explains each line of mathematical development. Together with instructive diagrams, case studies and many questions to work through, this text will ensure a thorough understanding of the fundamentals of mechanics. An enclosed CD-ROM also contains 'Personal Tutor' electronic step-by-step worked examples, with voice-over commentary, which take the student through sample problems and solutions. This book is suitable for students of: mechanical engineering civil engineering aeronautical engineering automotive engineering physics general engineering and all other related engineering disciplines where applied mathematics is essential.