Klassisk mekanik

Denna bok utgör den andra delen i den aktuella framställningen av den grundläggande mekaniken. Den första boken, Mekanik I, behandlar statiken och partikeldynamiken. Mekanik II ägnas åt partikelkinematiken och dynamiken i accelererande referensramar, partikelsystem, stela kroppars mekanik samt ger en introduktion i variationskalkyl och analytisk mekanik. Framställningen i båda böckerna har samma uppbyggnad med fokus på de grundläggande naturlagarna, vilket ger en sammanhängande och strukturerad bild av mekanikämnet. De två böckerna tillsammans täcker i huvudsak den grundläggande mekaniken vid teknisk högskoleutbildning.Bokens huvudsyfte är att träna det fysikaliska tankesättet genom ett samspel mellan teoriframställningen och tillämpningen av de allmänna principerna i en konkret situation vid genomgång av olika exempel och problem. Boken innehåller ett stort antal lösta exempel och alla problem har fullständiga lösningar som kan hittas i bokens Appendix.Mekanik II är avsedd att fungera som läromedel till andra kursen i mekanik vid civilingenjörs- eller naturvetarutbildningar vid tekniska högskolor och universitet.

Munson, Young, and Okiishi's Fundamentals of Fluid Mechanics is intended for undergraduate engineering students for use in a first course on fluid mechanics. Building on the well-established principles of fluid mechanics, the book offers improved and evolved academic treatment of the subject. Each important concept or notion is considered in terms of simple and easy-to-understand circumstances before more complicated features are introduced. The presentation of material allows for the gradual development of student confidence in fluid mechanics problem solving. This International Adaptation of the book comes with some new topics and updates on concepts that clarify, enhance, and expand certain ideas and concepts. The new examples and problems build upon the understanding of engineering applications of fluid mechanics and the edition has been completely updated to use SI units.

Boken är tänkt att ge nödvändiga grunder inom mekanik och hållfasthet för studenter, elever och yrkesverksamma inom teknik. Den är strukturerad i tre huvudsektioner: teoretiska grunder, genomarbetade exempellösningar och praktiska övningar, med över 200 övningsuppgifter för att öva och utveckla problemlösningsförmåga inom mekanik och hållfasthetslära. Boken inleds med en kort repetition i matematik med ett antal övningar, detta för att säkerställa att de matematiska förkunskaperna är tillräckliga för tillgodogörande av resterande del av boken.Till boken finns ett digitalt lärarmaterial med följande innehåll:• Lösningsförslag till samtliga övningsuppgifter. • Förslag på kursupplägg och föreläsningsplanering anpassat till denna bok.• Formelsamling.Lärarmaterial är tillgängligt via Studentlitteratur.se, sök på bokens titel.

THE NEW YORK TIMES BESTSELLER‘Sean Carroll has achieved something I thought impossible: a bridge between popular science and the mathematical universe of working physicists. Magnificent!’Brian Clegg, author of Ten Days in Physics that Shook the WorldImmense, strange and infinite, the world of modern physics often feels impenetrable to the undiscerning eye – a jumble of muons, gluons and quarks, impossible to explain without several degrees and a research position at CERN.But it doesn’t have to be this way!Allow world-renowned theoretical physicist and bestselling author Sean Carroll to guide you through the biggest ideas in the universe. Elegant and simple, Carroll unravels this web of theories and formulae equation by equation, getting to the heart of the truths they represent.—In Space, Time and Motion, the first book of this landmark trilogy, Carroll delves into the core of classical physics. From Euclid to Einstein, Space, Time and Motion explores the ideas which revolutionised science and forever changed our understanding of our place in the cosmos.

Denna bok behandlar avsnitt inom hållfasthetsläran som enaxliga tillstånd (drag-tryck, vridning, viskoelastisk analys, balkböjning och instabilitet), allmänna spännings- och töjningsanalys, flytvillkor, randvärdesproblem, utmattning, brotteori och brottmekanik, energimetoder, vridning av ickecirkulära tvärsnitt med välvning samt svängningsanalys.En strävan har genomgående varit att ur elevens synvinkel göra framställningen enkel och klar men ändå utförlig. Detta gäller speciellt vid härledningar av olika matematiska samband och i bildillustrationer. Ett stort antal figurer tillsammans med lösta exempel ingår. Det från den första utgåvan utökade antalet lösta exempel skall ge ökad förståelse för problemlösning inom hållfasthetsläran. Boken är avsedd för utbildning vid tekniska högskolor men kan även tjäna som handbok på konstruktionsavdelningar.

With a rare blend of scientific insight and writing as graceful as the theories it so deftly explains, The Elegant Universe remains the unrivaled account of the modern search for the deepest laws of nature: “a standard that will be hard to beat” (George Johnson, New York Times Book Review). In this new 25th anniversary edition, renowned physicist and author Brian Greene—“the single best explainer of abstruse concepts in the world today” (Washington Post)—updates his classic work with a new preface and epilogue summarizing the significant theoretical and experimental developments over the past quarter-century. From established science, including relativity and quantum mechanics, to the cutting edge of thinking on black holes, string theory, and quantum gravity, The Elegant Universe makes some of the most sophisticated concepts ever contemplated thoroughly accessible and entertaining, bringing us closer than ever to comprehending how the universe works.

Mekanik Statik ingår i en serie om tre böcker inom mekanikämnet avsedd för studerande på ingenjörsutbildningar och andra högre tekniska-naturvetenskapliga utbildningar.

Mekanik är en grundläggande komponent i de flesta tekniska utbildningar. Genom studier i mekanik utvecklar studenten sin kapacitet att göra förutsägelser om krafter och rörelser och deras verkan, i naturen och vid konstruktion och design av tekniska system. Den analytiska förmågan, det logiska tänkandet och den effektiva kommunikation som därigenom tränas är användbar inom vitt skilda områden även utanför teknik och naturvetenskap.

Boken omfattar en teoridel och en problemsamling.

Teoridelen tar upp:

kraftsystem jämvikt masscentrum jämvikt med friktion

I problemsamlingen finns många övningsuppgifter till de olika avsnitten. Alla övningar har svar i facit och många har kompletta lösningar. I appendix repeteras den vektoralgebra som krävs för att tillgodogöra sig bokens innehåll.

Denna nya upplaga har ett nytt praktiskt format och färgillustrationer. Konsekvent färgsättning av pilarna som representerar lägesvektorer, krafter, kraftmoment och hastigheter gör det lättare att tolka figurerna.

Relaterad information: Mekanik - Partikeldynamik Relaterad information: Mekanik - Stelkroppsdynamik

Om författarnaChrister Nyberg är universitetslektor vid institutionen för mekanik på KTH i Stockholm. Han har mångårig erfarenhet av undervisning i mekanik för blivande civilingenjörer och har själv bedrivit forskning inom plasmafysik och teoretisk akustik med tillämpningar inom musikakustik.

'Beautifully clear explanations of famously "difficult" things ... It almost makes you think you could have been a Newton yourself' John Gribbin Here is the ultimate master class in modern physics. World-class physicist and father of string theory Leonard Susskind and citizen-scientist George Hrabovsky combine forces in a primer that teaches the skills you need to do physics yourself.Combining crystal-clear explanations of the laws of the universe with basic exercises (including essential equations and maths), the authors cover the minimum that readers should master. They introduce the key concepts of modern physics, from classical mechanics to general relativity to quantum theory, and provide a practical toolkit that you won't find in any other popular science book.'A good and noble book' Sunday Times'A wonderful and unique resource. For anyone who is determined to learn physics for real, looking beyond conventional popularizations, this is the ideal place to start' Sean Carroll, physicist and author of The Particle at the End of the Universe'Very readable ... provides a clear description of advanced classical physics concepts, and gives readers who want a challenge the opportunity to exercise their brain' Physics World

'A majestic story' David Bodanis, Financial Times From the international bestselling author of Physics of the Impossible and Physics of the FutureThis is the story of a quest: to find a Theory of Everything. Einstein dedicated his life to seeking this elusive Holy Grail, a single, revolutionary 'god equation' which would tie all the forces in the universe together, yet never found it. Some of the greatest minds in physics took up the search, from Stephen Hawking to Brian Greene. None have yet succeeded.In The God Equation, renowned theoretical physicist Michio Kaku takes the reader on a mind-bending ride through the twists and turns of this epic journey: a mystery that has fascinated him for most of his life. He guides us through the key debates in modern physics, from Newton's law of gravity via relativity and quantum mechanics to the latest developments in string theory. It is a tale of dazzling breakthroughs and crushing dead ends, illuminated by Kaku's clarity, storytelling flair and infectious enthusiasm.The object of the quest is now within sight: we are closer than ever to achieving the most ambitious undertaking in the history of science. If successful, the Theory of Everything could simultaneously unlock the deepest mysteries of space and time, and fulfil that most ancient and basic of human desires - to understand the meaning of our lives.

Mekanik Partikeldynamik ingår i en serie om tre böcker inom mekanikämnet avsedd för studerande på ingenjörsutbildningar och andra högre tekniska-naturvetenskapliga utbildningar.

Mekanik är en grundläggande komponent i de flesta tekniska utbildningar. Genom studier i mekanik utvecklar studenten sin kapacitet att göra förutsägelser om krafter och rörelser och deras verkan, i naturen och vid konstruktion och design av tekniska system. Den analytiska förmågan, det logiska tänkandet och den effektiva kommunikation som därigenom tränas är användbar inom vitt skilda områden även utanför teknik och naturvetenskap.

Boken innehåller en teoridel och en problemsamling. Boken tar upp följande:

partikelns kinematik kraftekvationen energilagar impulsekvationen momentekvationen centralkraftsrörelse svängningsrörelse mekanikens lagar för ett partikelsystem stela kroppens rotation kring en fix axel.

I problemsamlingen finns många övningsuppgifter till de olika avsnitten. Alla övningar har svar i facit och många har kompletta lösningar.

Denna nya upplaga har ett nytt praktiskt format och färgillustrationer. Konsekvent färgsättning av pilarna som representerar lägesvektorer, krafter, kraftmoment och hastigheter gör det lättare att tolka figurerna.

Relaterad information: Mekanik - Stelkroppsdynamik Relaterad information: Mekanik - Statik

Om författarnaChrister Nyberg är universitetslektor vid institutionen för mekanik på KTH i Stockholm. Han har mångårig erfarenhet av undervisning i mekanik för blivande civilingenjörer och har själv bedrivit forskning inom plasmafysik och teoretisk akustik med tillämpningar inom musikakustik.

First published in 1973, Gravitation is a landmark graduate-level textbook that presents Einstein's general theory of relativity and offers a rigorous, full-year course on the physics of gravitation. Upon publication, Science called it "a pedagogic masterpiece," and it has since become a classic, considered essential reading for every serious student and researcher in the field of relativity. This authoritative text has shaped the research of generations of physicists and astronomers, and the book continues to influence the way experts think about the subject. With an emphasis on geometric interpretation, this masterful and comprehensive book introduces the theory of relativity; describes physical applications, from stars to black holes and gravitational waves; and portrays the field's frontiers. The book also offers a unique, alternating, two-track pathway through the subject. Material focusing on basic physical ideas is designated as Track 1 and formulates an appropriate one-semester graduate-level course. The remaining Track 2 material provides a wealth of advanced topics instructors can draw on for a two-semester course, with Track 1 sections serving as prerequisites.This must-have reference for students and scholars of relativity includes a new preface by David Kaiser, reflecting on the history of the book's publication and reception, and a new introduction by Charles Misner and Kip Thorne, discussing exciting developments in the field since the book's original publication. * The book teaches students to:* Grasp the laws of physics in flat and curved spacetime* Predict orders of magnitude* Calculate using the principal tools of modern geometry* Understand Einstein's geometric framework for physics* Explore applications, including neutron stars, Schwarzschild and Kerr black holes, gravitational collapse, gravitational waves, cosmology, and so much more

Using a welcoming and conversational style, this Student's Guide takes readers on a tour of the laws of thermodynamics, highlighting their importance for a wide range of disciplines. It will be a valuable resource for self-guided learners, students, and instructors working in physics, engineering, chemistry, meteorology, climatology, cosmology, biology, and other scientific fields. The book discusses thermodynamic properties such as temperature, internal energy, and entropy, and develops the laws through primarily observational means without extensive reference to atomic principles. This classical approach allows students to get a handle on thermodynamics as an experimental science and prepares them for more advanced study of statistical mechanics, which is introduced in the final chapter. Detailed practical examples are used to illustrate the theoretical concepts, with a selection of problems included at the end of each chapter to facilitate learning. Solutions to these problems can be found online along with additional supplemental materials.

Uncover one of the most exciting frontiers of modern physics in this fascinating, insightful and accessible overview of Chaos theory.‘An exceedingly readable introduction to a new intellectual world’ ObserverFrom the turbulence of the weather to the complicated rythmns of the human heart, ‘chaos’ is at the centre of our day to day lives. Cutting across several scientific disciplines, James Gleick explores and elucidates the science of the unpredicatable with an immensely readable narrative style and flair.‘An awe-inspiring book. Reading Chaos gave me the sensation that someone had just found the light-switch’ Douglas Adams

Nonlinear waves are of significant scientific interest across many diverse contexts, ranging from mathematics and physics to engineering, biosciences, chemistry, and finance. The study of nonlinear waves is relevant to Bose-Einstein condensates, the interaction of electromagnetic waves with matter, optical fibers and waveguides, acoustics, water waves, atmospheric and planetary scales, and even galaxy formation. The aim of this book is to provide a self-contained introduction to the continuously developing field of nonlinear waves, that offers the background, the basic ideas, and mathematical, as well as computational methods, while also presenting an overview of associated physical applications.Originated from the authors' own research activity in the field for almost three decades and shaped over many years of teaching on relevant courses, the primary purpose of this book is to serve as a textbook. However, the selection and exposition of the material will be useful to anyone who is curious to explore the fascinating world of nonlinear waves.

This book focuses on the mechanical properties and performance of products made of fiber-based materials. It helps students to develop skills for solving problems of product performance and engineering challenges in product development. Organized with a problem-based approach - practical examples of product performance are presented and the relevant mechanics are analyzed to deduce which material properties control the performance. The new edition covers state-of-the-art and green technologies as modeling of fiber networks and applications of nanocellulose.

This book – specifically developed as a novel textbook on elementary classical mechanics – shows how analytical and numerical methods can be seamlessly integrated to solve physics problems. This approach allows students to solve more advanced and applied problems at an earlier stage and equips them to deal with real-world examples well beyond the typical special cases treated in standard textbooks.Another advantage of this approach is that students are brought closer to the way physics is actually discovered and applied, as they are introduced right from the start to a more exploratory way of understanding phenomena and of developing their physical concepts.While not a requirement, it is advantageous for the reader to have some prior knowledge of scientific programming with a scripting-type language. This edition of the book uses Matlab, and a chapter devoted to the basics of scientific programming with Matlab is included. A parallel edition using Python instead of Matlab is also available.Last but not least, each chapter is accompanied by an extensive set of course-tested exercises and solutions.

Very Short Introductions: Brilliant, Sharp, Inspiring Fluid mechanics is an important branch of physics concerned with the way in which fluids, such as liquids and gases, behave when in motion and at rest. A quintessential interdisciplinary field of science, it interacts with many other scientific disciplines, from chemistry and biology to mathematics and engineering.This Very Short Introduction presents the field of fluid mechanics by focusing on the underlying physical ideas and using everyday phenomena to demonstrate them, from dripping taps to swimming ducks. Eric Lauga shows how this set of fundamental physical concepts can be applied to a wide range of flow behaviours and highlights the role of fluid motion in both the natural and industrial worlds. This book also considers future applications of fluid mechanics in science.ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.

Fluid dynamical forces drive most of the fundamental processes in the Universe and so play a crucial role in our understanding of astrophysics. This comprehensive textbook, first published in 2007, introduces the necessary fluid dynamics to understand a wide range of astronomical phenomena, from stellar structures to supernovae blast waves, to accretion discs. The authors' approach is to introduce and derive the fundamental equations, supplemented by text that conveys a more intuitive understanding of the subject, and to emphasise the observable phenomena that rely on fluid dynamical processes. The textbook has been developed for use by final-year undergraduate and starting graduate students of astrophysics, and contains over fifty exercises. It is based on the authors' many years of teaching their astrophysical fluid dynamics course at the University of Cambridge.

In this text, the author constructs the mathematical apparatus of classical mechanics from the beginning, examining all the basic problems in dynamics, including the theory of oscillations, the theory of rigid body motion, and the Hamiltonian formalism. This modern approch, based on the theory of the geometry of manifolds, distinguishes iteself from the traditional approach of standard textbooks. Geometrical considerations are emphasized throughout and include phase spaces and flows, vector fields, and Lie groups. The work includes a detailed discussion of qualitative methods of the theory of dynamical systems and of asymptotic methods like perturbation techniques, averaging, and adiabatic invariance.

Mekanik Stelkroppsdynamik ingår i en serie om tre böcker inom mekanikämnet avsedd för studerande på ingenjörsutbildningar och andra högre tekniska-naturvetenskapliga utbildningar.

Mekanik Stelkroppsdynamik ingår i en serie om tre böcker inom mekanikämnet avsedd för studerande på ingenjörsutbildningar och andra högre tekniska-naturvetenskapliga utbildningar.

Mekanik är en grundläggande komponent i de flesta tekniska utbildningar. Genom studier i mekanik utvecklar studenten sin kapacitet att göra förutsägelser om krafter och rörelser och deras verkan, i naturen och vid konstruktion och design av tekniska system. Den analytiska förmågan, det logiska tänkandet och den effektiva kommunikation som därigenom tränas är användbar inom vitt skilda områden även utanför teknik och naturvetenskap.

Boken består av en teoridel och en problemsamling. I teoridelen behandlas:

mekanikens lagar för ett partikelsystem stela kroppars plana kinematik stela kroppens rotation kring en fix axel stela kroppars plana kinetik stela kroppens kinematik i tre dimensioner tröghetskrafter

Teoridelen innehåller många genomräknade exempel medan problemdelen innehåller övningsuppgifter, facit och lösningar till vissa uppgifter. Här finns också formelsamling och appendix om tröghetskrafter.

Denna nya upplaga har ett nytt praktiskt format och färgillustrationer. Konsekvent färgsättning av pilarna som representerar lägesvektorer, krafter, kraftmoment och hastigheter gör det lättare att tolka figurerna.

Relaterad information: Mekanik - Partikeldynamik Relaterad information: Mekanik - Statik

Om författarnaChrister Nyberg är universitetslektor vid institutionen för mekanik på KTH i Stockholm. Han har mångårig erfarenhet av undervisning i mekanik för blivande civilingenjörer och har själv bedrivit forskning inom plasmafysik och teoretisk akustik med tillämpningar inom musikakustik.

A highly accessible resource covering the basics of the design and operation of electrical power systems with minimal technical background required Electrical Power System Essentials delivers a thorough introduction to the electrical power system and its functioning, and the changes that come with the worldwide energy transition process. This revised and updated Third Edition includes new material on HVDC developments, electricity markets, capacity calculation (NTC and flow-based), power system protection, and energy storage. Discussions on how renewable sources play a more dominant role in the generation of electrical energy and the effects they have on the control and operation of the grid and electricity markets are also included. Written in the accessible style that has made previous editions so popular with readers, this book restricts math content to the Appendix in order to maintain an easy reading experience of the main text while still providing complete coverage. A companion website includes downloadable teaching materials, and accessory videos are viewable on the Wiley website (www.wiley.com/go/powersystem3e) and YouTube (https://www.youtube.com/playlist?list=PLvaU1SY38TUV8JTwkf1taN-w_bQbCD0Ad). Topics discussed in the book include: Generation of electric energy, covering nuclear fission, wind energy and wind turbine concepts, hydropower and pumped storage, and solar powerElectricity markets, covering gas scarcity, its influence on the marginal price of electricity, and negative energy pricesFuture power systems, covering higher harmonics, increased use of cables instead of overhead transmission lines, distributed generation and power-electronic interfacesTransmission of electric energy, covering DC circuit breakers, wide area measurement systems, and distribution networksElectrical Power System Essentials is a perfect textbook for second- and third-year undergraduate electrical engineering students who need an accessible course text introducing concepts in power system engineering. The text is also valuable for other students and professionals who require an up-to-date reference on power systems technology.

This established, leading textbook, is suitable for courses in CFD. The new edition covers new techniques and methods, as well as considerable expansion of the advanced topics and applications (from one to four chapters).

 

This book presents the fundamentals of computational fluid mechanics for the novice user. It provides a thorough yet user-friendly introduction to the governing equations and boundary conditions of viscous fluid flows, turbulence and its modelling, and the finite volume method of solving flow problems on computers.

 

The best available guide to the elastic stability of large structures, this volume was co-authored by world-renowned authorities on engineering mechanics. It ranges from theoretical explanations of 2- and 3-D stress and strain to practical applications such as torsion, bending, thermal stress, and wave propagation through solids. Equally valuable as text or reference. 1961 edition.

The full inside story of the detection of gravitational waves at LIGO, one of the most ambitious feats in scientific history*Selected as a Book of the Year 2016 in the Sunday Times*'This is empirical poetry. A fascinating tale of human curiosity beautifully told, and with black holes and lasers too' Robin InceIn 1916 Albert Einstein predicted the existence of gravitational waves: miniscule ripples in the very fabric of spacetime generated by unfathomably powerful events. If such vibrations could somehow be recorded, we could observe our universe for the first time through sound: the hissing of the Big Bang, the low tones of merging galaxies, the drumbeat of two black holes collapsing into one…In 2016 a team of hundreds of scientists at work on a billion-dollar experiment made history when they announced the first ever detection of a gravitational wave, confirming Einstein’s prediction a century ago. Based on complete access to LIGO (Laser Interferometer Gravitational-Wave Observatory) and the scientists who created it, Black Hole Blues offers a first-hand account of this astonishing achievement: an intimate story of cutting-edge science at its most awe-inspiring and ambitious.

Dynamic programming (DP) is a sub-field of optimization concerned with sequential decision making over time. The essential ideas of DP have been adopted in many applications, from robotics and AI to the sequencing of DNA. It is used around the world to control aircraft, route shipping, test products, recommend information on media platforms and solve major research problems. Dynamic Programming: Finite States treats the theory of dynamic programming and its applications in economics, finance, and operations research. It contains classical results on dynamic programming as well as extensions created by researchers and practitioners as they wrestle with formulating and solving dynamic models that can explain patterns observed in data. Adopting an abstract framework that provides great generality, this book facilitates rapid progress to the research frontier by combining rigorous theory with numerous applications, many solved exercises, and detailed open-source computer code.

This textbook gradually introduces the reader to several topics related to black hole physics with a didactic approach. It starts with the most basic black hole solution, the Schwarzschild metric, and discusses the basic classical properties of black hole solutions as seen by different probes. Then it reviews various theorems about black hole properties as solutions to Einstein gravity coupled to matter fields, conserved charges associated with black holes, and laws of black hole thermodynamics. Next, it elucidates semiclassical and quantum aspects of black holes, which are relevant in ongoing and future research. The book is enriched with many exercises and solutions to assist in the learning.The textbook is designed for physics graduate students who want to start their research career in the field of black holes; postdocs who recently changed their research focus towards black holes and want to get up-to-date on recent and current research topics; advanced researchers intending to teach (or learn) basic and advanced aspects of black hole physics and the associated mathematical tools. Besides general relativity, the reader needs to be familiar with standard undergraduate physics, like thermodynamics, quantum mechanics, and statistical mechanics. Moreover, familiarity with basic quantum field theory in Minkowski space is assumed. The book covers the rest of the needed background material in the main text or the appendices.

Denna handbok är skapad för att hjälpa personer som handhar utformning, underhåll och kontroll av mätanordningar, för mätning av vattenflöden i öppna system.