Klassisk mekanik

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.

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.

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.

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.

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.

This textbook presents a basic undergraduate course in physics covering all essential aspects of mechanics, mechanical properties of matter, thermal properties of matter, elementary thermodynamics, electrodynamics, electricity, magnetism, light, optics and sound. It includes simple mathematical approaches to each physical principle, with carefully selected examples and exercises supporting each chapter.This second edition of a widely popular textbook – boasting close to 6 million downloads – adds many new exercises and solutions, a new summary for each chapter, boxed features separating the examples from the text, and highlights fundamental physical outcomes and rules. The appendices provide a quick and helpful point of reference for all fundamental conversion factors and basic formulas, as well as rules for differentiation and integration, helping students to understand the elementary mathematical steps used for solving the examples and exercises. Visually impressive and full of real-word examples with step-by-step solutions, this textbook is an indispensable tool for both instructors and students seeking direct access to a broad spectrum of physics.

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.

'Quantum Cosmology' offers a guided introduction to the quantum aspects of the cosmos. Starting with an overview of early universe cosmology, the book builds up to advanced topics such as the Wheeler-DeWitt equation, gravitational path integrals, and the no-boundary proposal for the wave function of the universe. Readers will explore tunneling processes via Coleman-DeLuccia instantons, the quantum origin of primordial fluctuations, the thermodynamics of horizons, and basic notions of string cosmology. Concepts such as wormholes and semi-classical geometry are introduced with clarity and physical motivation. The book assumes some familiarity with general relativity and quantum mechanics, but little prior knowledge of cosmology. It includes a wide range of exercises, with solutions provided. Written in a pedagogical style, it bridges the gap between undergraduate courses and the research level in this frontier area of theoretical physics.

Reveals how the pyramids of Egypt were sophisticated generators of clean energy.Sharing extensive new evidence and cutting-edge research that the Great Pyramid at Giza was built as an energy-harvesting machine, Christopher Dunn details how the ancient Egyptians were generating clean power for their civilization and reveals how the pyramid builders and the great inventor Nikola Tesla were drawing from the same universal knowledge.Looking at each part of the Great Pyramid, from the internal chambers to its massive stone blocks to the pyramidion on top, Dunn reveals how the pyramids in Egypt served to stimulate the release and collection of electrons in the Earth’s crust by harmonizing seismic energy while also attenuating the accumulating stresses. Drawing on exhaustive ongoing research by NASA scientists into the phenomenon known as “earthquake lights,” the author shows how the pyramid builders were inspired by this phenomenon and learned to stress igneous rocks similar to tectonic plate movement in order to harvest the resulting electron flow, which also enabled the pyramids to mitigate any impending earthquakes. He looks in depth at recent research that supports the pyramid energy theory, including new explorations of the shafts of the Queen’s Chamber, Russian research on how the Great Pyramid can concentrate electromagnetic energy, and analysis of the scorch marks on the ceiling of the Grand Gallery, which supports the King’s Chamber explosion hypothesis. He also examines the stunning significance of the large void above the Grand Gallery discovered in 2017.Analyzing the results of extensive acoustic testing and measurements related to specific frequencies within the Great Pyramid, Dunn looks at the vibration and frequency rates found at ancient sacred sites and shows how the pyramids were tuned to the Earth’s frequency. He also includes multiple technical appendices written by experts.While the pyramids’ sophisticated energy-harvesting abilities are now in disarray and disuse, some remnants of their technologies are still there, waiting to be rediscovered and provide our civilization with an abundance of non-polluting power.

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

This textbook explores the working principles of all kinds of turbomachines. Readers will gain a fundamental understanding of turbomachines and will be able to make a reasoned choice of a turbomachine for a particular application.

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.

General relativity is one of the most profound statements in science. It is a theory of gravity that allows us to model the large-scale structure of the Universe, to understand and explain the motions and workings of stars, to reveal how gravity interacts with light waves and even how it hosts its own gravitational waves. It is central to our notions of where the Universe comes from and what its eventual fate might be. For those wishing to learn physics, general relativity enjoys a dubious distinction. It is frequently viewed as a difficult theory, whose mastery is a rite of passage into the world of advanced physics and is described in an array of unforgiving, weighty textbooks aimed firmly at aspiring professionals. Written by experimental physicists and aimed at providing the interested amateur with a bridge from undergraduate physics to general relativity, this book is designed to be different. The imagined reader is a gifted amateur possessing a curious and adaptable mind looking to be told an entertaining and intellectually stimulating story, but who will not feel patronised if a few mathematical niceties are spelled out in detail. Using numerous worked examples, diagrams and careful physically motivated explanations, this book will smooth the path towards understanding the radically different and revolutionary view of the physical world that general relativity provides and which all physicists should have the opportunity to experience.

A concise but rigorous treatment of variational techniques, focussing primarily on Lagrangian and Hamiltonian systems, this book is ideal for physics, engineering and mathematics students. The book begins by applying Lagrange's equations to a number of mechanical systems. It introduces the concepts of generalized coordinates and generalized momentum. Following this the book turns to the calculus of variations to derive the Euler-Lagrange equations. It introduces Hamilton's principle and uses this throughout the book to derive further results. The Hamiltonian, Hamilton's equations, canonical transformations, Poisson brackets and Hamilton-Jacobi theory are considered next. The book concludes by discussing continuous Lagrangians and Hamiltonians and how they are related to field theory. Written in clear, simple language and featuring numerous worked examples and exercises to help students master the material, this book is a valuable supplement to courses in mechanics.

'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

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

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.

Analytical mechanics is a set of mathematical tools used to describe a wide range of physical systems, both in classical mechanics and beyond. It offers a powerful and elegant alternative to Newtonian mechanics; however it can be challenging to learn due to its high degree of mathematical complexity. Designed to offer a more intuitive guide to this abstract topic, this guide explains the mathematical theory underlying analytical mechanics; helping students to formulate, solve and interpret complex problems using these analytical tools. Each chapter begins with an example of a physical system to illustrate the theoretical steps to be developed in that chapter, and ends with a set of exercises to further develop students' understanding. The book presents the fundamentals of the subject in depth before extending the theory to more elaborate systems, and includes a further reading section to ensure that this is an accessible companion to all standard textbooks.

The Navier-Stokes equations describe the motion of fluids and are an invaluable addition to the toolbox of every physicist, applied mathematician, and engineer. The equations arise from applying Newton's laws of motion to a moving fluid and are considered, when used in combination with mass and energy conservation rules, to be the fundamental governing equations of fluid motion. They are relevant across many disciplines, from astrophysics and oceanic sciences to aerospace engineering and materials science. This Student's Guide provides a clear and focused presentation of the derivation, significance and applications of the Navier-Stokes equations, along with the associated continuity and energy equations. Designed as a useful supplementary resource for undergraduate and graduate students, each chapter concludes with a selection of exercises intended to reinforce and extend important concepts. Video podcasts demonstrating the solutions in full are provided online, along with written solutions and other additional resources.

Gravity doesn’t just pull apples from trees — it shapes our bodies, minds, and even our emotions. Dr Brennan Spiegel reveals how this invisible force influences everything from digestion to depression — and how building gravity resilience can help us find balance, stand stronger, and live longer. Pull presents a groundbreaking exploration of how gravity influences conditions of body and mind that have puzzled medical professionals for centuries. Why do people with depression literally feel like they’re being dragged to the ground? Why do you get that butterfly feeling in your stomach when going down a roller coaster? Why do you get it when you are ‘falling’ in love? What can we learn from astronauts with heartburn and swollen faces to inform our lives back on Earth? How do gut microbes help us fight gravity? And most importantly, how can we change our connection to gravity for the better? To get there, Spiegel proposes the concept of ‘gravity resilience’, a fresh perspective on traditional interventions such as weight loss, exercise, diet, and meditation.Rooted in hard science, buttressed by compelling storytelling, and punctuated with actionable strategies to boost your own gravity resilience, Pull is an eye-opening, life-changing book.

'Transformative and a fascinating read; this book will open your ears to the world of sound and change your life' Steven Bartlett, bestselling author of The Diary of a CEO'A fascinating insight into the power of sound' Susan Cain, No. 1 New York Times bestselling author of QUIETEvery day, the sounds around us affect every aspect of our human experience, and thus fundamentally alter our quality of life, for better or worse. It is only recently that scientists have realised that sounds connect us to the world in ways that are every bit as vivid and evocative as visual landscapes. Hearing is the first sense we develop, and as our primary warning sense it is hardwired into our brains. And yet, in an increasingly noisy and distracted world, most people pay scant attention to the sounds around them, causing them to lose contact with the essential skill of listening. Sound Affects is about rediscovering the wonder of sound, and understanding how powerfully it affects us, whether we are paying attention or not. It is also a manual for taking back responsibility for the sounds we consume and the sounds we make, so we can enhance our own happiness, effectiveness and well-being.In the process, the reader will discover that:- stars are like bells, ringing with sound black holes make sound 50 octaves below what we can hear - snapping shrimp may be only 1cm long but they make sound that's as loud as a rock concert - whales can communicate underwater over hundreds of miles with very low frequency sound that travels five times as fast as sound in air - individual cells make unique sounds, enabling scientists detect early signs of metastases - dolphins have names and call each other by them