Archimedes The Center Of Gravity And The First Law Of Mechanics

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Archimedes, the Center of Gravity, and the First Law of Mechanics

Author : André Koch Torres Assis
Publisher :
ISBN 13 : 9780973291162
Total Pages : 187 pages
Book Rating : 4.2/5 (911 download)

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Book Synopsis Archimedes, the Center of Gravity, and the First Law of Mechanics by : André Koch Torres Assis

Download or read book Archimedes, the Center of Gravity, and the First Law of Mechanics written by André Koch Torres Assis and published by . This book was released on 2008 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: Archimedes, the Center of Gravity, and the First Law of Mechanics deals with the most fundamental aspects of physics. The book describes the main events in the life of Archimedes and the content of his works. It goes on to discuss a large number of experiments relating to the equilibrium of suspended bodies under the influence of Earth's gravitational force. All experiments are clearly described and performed with simple, inexpensive materials. These experiments lead to a clear conceptual definition of the center of gravity of material bodies and illustrate practical procedures for locating it precisely. The conditions of stable, neutral, and unstable equilibrium are analyzed. Many equilibrium toys and games are described and explained. Historical aspects of the concept are presented, together with the theoretical values of center of gravity obtained by Archimedes. The book also explains how to build and calibrate precise balances and levers. Several experiments are performed leading to a mathematical definition of the center of gravity and the first law of mechanics, also called the law of the lever. Consequences of this law and different explanations of it are described at the end of the book, together with an exhaustive analysis of the works of Euclid and Archimedes.

The First Principles of Mechanics

Author : William Whewell
Publisher :
ISBN 13 :
Total Pages : 142 pages
Book Rating : 4.0/5 (57 download)

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Book Synopsis The First Principles of Mechanics by : William Whewell

Download or read book The First Principles of Mechanics written by William Whewell and published by . This book was released on 1832 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Illustrated Method of Archimedes

Author : Assis Andreu Koch Torres Magnaghi C P
Publisher :
ISBN 13 : 9781461905417
Total Pages : 48 pages
Book Rating : 4.9/5 (54 download)

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Book Synopsis The Illustrated Method of Archimedes by : Assis Andreu Koch Torres Magnaghi C P

Download or read book The Illustrated Method of Archimedes written by Assis Andreu Koch Torres Magnaghi C P and published by . This book was released on 2014-05-14 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Brief History of Mechanical Engineering

Author : Uday Shanker Dixit
Publisher : Springer
ISBN 13 : 3319429167
Total Pages : 178 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis A Brief History of Mechanical Engineering by : Uday Shanker Dixit

Download or read book A Brief History of Mechanical Engineering written by Uday Shanker Dixit and published by Springer. This book was released on 2016-08-13 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is mechanical engineering? What a mechanical engineering does? How did the mechanical engineering change through ages? What is the future of mechanical engineering? This book answers these questions in a lucid manner. It also provides a brief chronological history of landmark events and answers questions such as: When was steam engine invented? Where was first CNC machine developed? When did the era of additive manufacturing start? When did the marriage of mechanical and electronics give birth to discipline of mechatronics? This book informs and create interest on mechanical engineering in the general public and particular in students. It also helps to sensitize the engineering fraternity about the historical aspects of engineering. At the same time, it provides a common sense knowledge of mechanical engineering in a handy manner.

Approximation Methods in Science and Engineering

Author : Reza N. Jazar
Publisher : Springer Nature
ISBN 13 : 1071604805
Total Pages : 544 pages
Book Rating : 4.0/5 (716 download)

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Book Synopsis Approximation Methods in Science and Engineering by : Reza N. Jazar

Download or read book Approximation Methods in Science and Engineering written by Reza N. Jazar and published by Springer Nature. This book was released on 2020-03-13 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approximation Methods in Engineering and Science covers fundamental and advanced topics in three areas: Dimensional Analysis, Continued Fractions, and Stability Analysis of the Mathieu Differential Equation. Throughout the book, a strong emphasis is given to concepts and methods used in everyday calculations. Dimensional analysis is a crucial need for every engineer and scientist to be able to do experiments on scaled models and use the results in real world applications. Knowing that most nonlinear equations have no analytic solution, the power series solution is assumed to be the first approach to derive an approximate solution. However, this book will show the advantages of continued fractions and provides a systematic method to develop better approximate solutions in continued fractions. It also shows the importance of determining stability chart of the Mathieu equation and reviews and compares several approximate methods for that. The book provides the energy-rate method to study the stability of parametric differential equations that generates much better approximate solutions.

Eureka Man

Author : Alan Hirshfeld
Publisher : Bloomsbury Publishing USA
ISBN 13 : 0802719791
Total Pages : 252 pages
Book Rating : 4.8/5 (27 download)

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Book Synopsis Eureka Man by : Alan Hirshfeld

Download or read book Eureka Man written by Alan Hirshfeld and published by Bloomsbury Publishing USA. This book was released on 2009-09-08 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many of us know little about Archimedes other than his "Eureka" exclamation upon discovering that he could immerse an object in a full tub of water and measure the spillage to determine the object's weight. That seemingly simple observation not only proved to King Hieron II of Syracuse that a certain amount of silver had been used in what was supposed to be his solid-gold crown, it established the key principles of buoyancy that govern the flotation of hot-air balloons, ships, and denizens of the sea. Archimedes had a profound impact on the development of mathematics and science: from square roots to irrigation devices; planetariums to the stability of ships; polyhedra to pulleys; number systems to levers; the value of pi to the size of the universe. Yet this same cerebral man developed machines of war so fearsome, they might have sprung from a devil's darkest imagination - indeed, weapons that held at bay the greatest army of antiquity. Ironically, Archimedes' reputation swelled to mythic proportions in the ancient world for his feats of engineering: the hand-cranked irrigation device, commonly known as "Archimedes' screw," and his ingenuous use of levers, pulleys, and ropes to pull, single-handedly, a fully laden ship! His treatises, rediscovered after a thousand years of collective amnesia in Europe, guided nascent thinkers out of the Dark Ages and into the Renaissance. Indeed, Archimedes' cumulative record of achievement-both in breadth and sophistication-places him among the exalted ranks of Aristotle, Leonardo da Vinci, Isaac Newton, and Albert Einstein. Eureka Man brings to life for general readers the genius of Archimedes, offering succinct and understandable explanations of some of his more important discoveries and innovations.

Mathematics, Education and History

Author : Kathleen M. Clark
Publisher : Springer
ISBN 13 : 3319739247
Total Pages : 387 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Mathematics, Education and History by : Kathleen M. Clark

Download or read book Mathematics, Education and History written by Kathleen M. Clark and published by Springer. This book was released on 2018-03-30 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book includes 18 peer-reviewed papers from nine countries, originally presented in a shorter form at TSG 25 The Role of History of Mathematics in Mathematics Education, as part of ICME-13 during. It also features an introductory chapter, by its co-editors, on the structure and main points of the book with an outline of recent developments in exploring the role of history and epistemology in mathematics education. It serves as a valuable contribution in this domain, by making reports on recent developments in this field available to the international educational community, with a special focus on relevant research results since 2000. The 18 chapters of the book are divided into five interrelated parts that underlie the central issues of research in this domain: 1. Theoretical and conceptual frameworks for integrating history and epistemology in mathematics in mathematics education; 2. Courses and didactical material: Design, implementation and evaluation; 3. Empirical investigations on implementing history and epistemology in mathematics education; 4. Original historical sources in teaching and learning of and about mathematics; 5. History and epistemology of mathematics: Interdisciplinary teaching and sociocultural aspects. This book covers all levels of education, from primary school to tertiary education, with a particular focus on teacher education. Additionally, each chapter refers to and/or is based on empirical research, in order to support, illuminate, clarify and evaluate key issues, main questions, and conjectured theses raised by the authors or in the literature on the basis of historical-epistemological or didactical-cognitive arguments.

The Genius of Archimedes -- 23 Centuries of Influence on Mathematics, Science and Engineering

Author : S. A. Paipetis
Publisher : Springer Science & Business Media
ISBN 13 : 9048190916
Total Pages : 515 pages
Book Rating : 4.0/5 (481 download)

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Book Synopsis The Genius of Archimedes -- 23 Centuries of Influence on Mathematics, Science and Engineering by : S. A. Paipetis

Download or read book The Genius of Archimedes -- 23 Centuries of Influence on Mathematics, Science and Engineering written by S. A. Paipetis and published by Springer Science & Business Media. This book was released on 2010-05-25 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: Archimedes is held in high esteem by mathematicians, physicists and engineers as one of the most brilliant scientists of all time. These proceedings contain original, unpublished papers with the primary emphasis on the scientific work of Archimedes and his influence on the fields of mathematics, science, and engineering. There are also papers dealing with archaeological aspects and the myths and legends about Archimedes and about the Archimedes Palimpsest. Papers on the following subjects form part of the book: Hydrostatics (buoyancy, fluid pressure and density, stability of floating bodies); Mechanics (levers, pulleys, centers of gravity, laws of equilibrium); Pycnometry (measurement of volume and density); Integral Calculus (Archimedes as the father of the integral calculus, method of exhaustion, approximation of pi, determination of areas and volumes); Mathematical Physics (Archimedes as the father of mathematical physics, Law of the Lever, Law of Buoyancy, Axiomatization of Physics); History of Mathematics and Mechanics (Archimedes’ influence in antiquity, the middle ages, the Renaissance, and modern times; his influence on Leonado da Vinci, Galileo, Newton, and other giants of science and mathematics); Ancient Machines and Mechanisms (catapults, water screws, iron hands, compound pulleys, planetaria, water clocks, celestial globes, the Antikythera Mechanism); Archimedean Solids (their rediscovery in the Rennaisance and their applications in materials science and chemistry); Archimedean Legends (how stories of golden crowns, eureka moments, naked runs, burning mirrors, steam cannons, etc., have influenced us through the ages, whether true or not); The Cattle Problem (how its 18th century rediscovery inspired the study of equations with integer solutions); Teaching the Ideas of Archimedes (how his life and works have influenced the teaching of science, mathematics, and engineering).

Geometrical Solutions Derived from Mechanics

Author : Archimedes
Publisher :
ISBN 13 :
Total Pages : 42 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis Geometrical Solutions Derived from Mechanics by : Archimedes

Download or read book Geometrical Solutions Derived from Mechanics written by Archimedes and published by . This book was released on 1909 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Introduction to the History of Structural Mechanics

Author : Edoardo Benvenuto
Publisher : Springer Science & Business Media
ISBN 13 : 1461229820
Total Pages : 324 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis An Introduction to the History of Structural Mechanics by : Edoardo Benvenuto

Download or read book An Introduction to the History of Structural Mechanics written by Edoardo Benvenuto and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is one of the finest I have ever read. To write a foreword for it is an honor, difficult to accept. Everyone knows that architects and master masons, long before there were mathematical theories, erected structures of astonishing originality, strength, and beauty. Many of these still stand. Were it not for our now acid atmosphere, we could expect them to stand for centuries more. We admire early architects' visible success in the distribution and balance of thrusts, and we presume that master masons had rules, perhaps held secret, that enabled them to turn architects' bold designs into reality. Everyone knows that rational theories of strength and elasticity, created centuries later, were influenced by the wondrous buildings that men of the sixteenth, seventeenth, and eighteenth centuries saw daily. Theorists know that when, at last, theories began to appear, architects distrusted them, partly because they often disregarded details of importance in actual construction, partly because nobody but a mathematician could understand the aim and func tion of a mathematical theory designed to represent an aspect of nature. This book is the first to show how statics, strength of materials, and elasticity grew alongside existing architecture with its millenial traditions, its host of successes, its ever-renewing styles, and its numerous problems of maintenance and repair. In connection with studies toward repair of the dome of St. Peter's by Poleni in 1743, on p.

Body Physics

Author : Lawrence Davis
Publisher :
ISBN 13 :
Total Pages : 590 pages
Book Rating : 4.:/5 (18 download)

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Book Synopsis Body Physics by : Lawrence Davis

Download or read book Body Physics written by Lawrence Davis and published by . This book was released on 201? with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Body Physics was designed to meet the objectives of a one-term high school or freshman level course in physical science, typically designed to provide non-science majors and undeclared students with exposure to the most basic principles in physics while fulfilling a science-with-lab core requirement. The content level is aimed at students taking their first college science course, whether or not they are planning to major in science. However, with minor supplementation by other resources, such as OpenStax College Physics, this textbook could easily be used as the primary resource in 200-level introductory courses. Chapters that may be more appropriate for physics courses than for general science courses are noted with an asterisk symbol (*). Of course this textbook could be used to supplement other primary resources in any physics course covering mechanics and thermodynamics"--Textbook Web page.

Geometrical Solutions Derived from Mechanics

Author : J. L. Heiberg
Publisher :
ISBN 13 : 9781330479315
Total Pages : 34 pages
Book Rating : 4.4/5 (793 download)

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Book Synopsis Geometrical Solutions Derived from Mechanics by : J. L. Heiberg

Download or read book Geometrical Solutions Derived from Mechanics written by J. L. Heiberg and published by . This book was released on 2015-06-29 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Geometrical Solutions Derived From Mechanics: A Treatise of Archimedes If there ever was a case of appropriateness in discovery, the rinding of this manuscript in the summer of 1906 was one. In the first place it was appropriate that the discovery should be made in Constantinople, since it was here that the West received its first manuscripts of the other extant works, nine in number, of the great Syracusan. It was furthermore appropriate that the discovery should be made by Professor Heiberg, facilis princeps among all workers in the field of editing the classics of Greek mathematics, and an indefatigable searcher of the libraries of Europe for manuscripts to aid him in perfecting his labors. And finally it was most appropriate that this work should appear at a time when the affiliation of pure and applied mathematics is becoming so generally recognized all over the world. We are sometimes led to feel, in considering isolated cases, that the great contributors of the past have worked in the field of pure mathematics alone, and the saying of Plutarch that Archimedes felt that "every kind of art connected with daily needs was ignoble and vulgar" may have strengthened this feeling. It therefore assists us in properly orientating ourselves to read another treatise from the greatest mathematician of antiquity that sets clearly before us his indebtedness to the mechanical applications of his subject. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

An Introduction to Celestial Mechanics

Author : Forest Ray Moulton
Publisher :
ISBN 13 :
Total Pages : 478 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis An Introduction to Celestial Mechanics by : Forest Ray Moulton

Download or read book An Introduction to Celestial Mechanics written by Forest Ray Moulton and published by . This book was released on 1914 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Product Design

Author : Kevin N. Otto
Publisher : 清华大学出版社有限公司
ISBN 13 : 9787302070481
Total Pages : 1100 pages
Book Rating : 4.0/5 (74 download)

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Book Synopsis Product Design by : Kevin N. Otto

Download or read book Product Design written by Kevin N. Otto and published by 清华大学出版社有限公司. This book was released on 2003 with total page 1100 pages. Available in PDF, EPUB and Kindle. Book excerpt: 责任者译名:奥托。

University Physics

Author : George Arfken
Publisher : Academic Press
ISBN 13 : 0323142028
Total Pages : 918 pages
Book Rating : 4.3/5 (231 download)

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Book Synopsis University Physics by : George Arfken

Download or read book University Physics written by George Arfken and published by Academic Press. This book was released on 2012-12-02 with total page 918 pages. Available in PDF, EPUB and Kindle. Book excerpt: University Physics provides an authoritative treatment of physics. This book discusses the linear motion with constant acceleration; addition and subtraction of vectors; uniform circular motion and simple harmonic motion; and electrostatic energy of a charged capacitor. The behavior of materials in a non-uniform magnetic field; application of Kirchhoff's junction rule; Lorentz transformations; and Bernoulli's equation are also deliberated. This text likewise covers the speed of electromagnetic waves; origins of quantum physics; neutron activation analysis; and interference of light. This publication is beneficial to physics, engineering, and mathematics students intending to acquire a general knowledge of physical laws and conservation principles.

The Works of Archimedes

Author : Archimedes
Publisher :
ISBN 13 :
Total Pages : 524 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Works of Archimedes by : Archimedes

Download or read book The Works of Archimedes written by Archimedes and published by . This book was released on 1897 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Physics and Necessity

Author : Olivier Darrigol
Publisher : OUP Oxford
ISBN 13 : 0191021938
Total Pages : 432 pages
Book Rating : 4.1/5 (91 download)

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Book Synopsis Physics and Necessity by : Olivier Darrigol

Download or read book Physics and Necessity written by Olivier Darrigol and published by OUP Oxford. This book was released on 2014-05-22 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Can we prove the necessity of our best physical theories by rational means, without appeal to experience? This book recounts a few ingenious attempts to derive physical theories by reason only, beginning with Descartes' geometric construction of the world, and finishing with recent derivations of quantum mechanics from natural axioms. Deductions based on theological, metaphysical, or transcendental arguments are worth remembering for the ways they motivated and structured physical theory, even though we would now criticize their excessive confidence in the power of the mind. Other deductions more modestly relied on criteria for the comprehensibility of nature, including forms of measurability, causality, homogeneity, and correspondence. The central thesis of this book is that such criteria, when properly applied to idealized systems, effectively determine some of our most important theories as well as the mathematical character of the laws of physics. The relevant arguments are not purely rational, because only experience can tell us to which extent nature is comprehensible in a given way. Nor do they block the possibility of ever more varied forms of comprehensibility. They nonetheless suggest the inevitability of much of our theoretical physics.