...The Simple Pendulum Laboratory Report Abstract The pendulum method is used for determination of the acceleration of gravity (g). The thin string used and a large mass reduces frictional effects and air drag. The long pendulum arm and a small swing about a small angle helps in the approximation of the simple harmonic motion. The slope of the graph was 0.23 while a graphical value of the acceleration of gravity was g=9.0824. The acceleration of gravity from the calculation was g = 9.7744. Hypothesis As the length of the string increases, the period (T) of oscillation increases Introduction In pendulum method, the period of oscillations is independent of the pendulum mass, but dependent of the square root of the string length. The simple pendulum setup can be used for the determination of acceleration of gravity value (g) (Cutnell, & Kenneth, 2013). The mass of the pendulum should be kept constant while the length of the string is varied. The length is the manipulated variable, period (T) a responding variable while the mass of the pendulum a fixed variable. L=lengt M= mass X=amplitude g = acceleration of gravity 1. From Newton’s 2nd law of motion F= dp/dt 2. Hooke’s law F = -kx, k is the spring constant and x is the displacement Therefore, the back and forth motion can be expressed as w=2Πf = Replacing the mass with a moment of inertia (I), then the equation becomes; w=2Πf = ) mw2=k For small angles of displacement, The equation below gives...
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...The Simple Pendulum Laboratory Report Abstract The pendulum method is used for determination of the acceleration of gravity (g). The thin string used and a large mass reduces frictional effects and air drag. The long pendulum arm and a small swing about a small angle helps in the approximation of the simple harmonic motion. The slope of the graph was 0.23 while a graphical value of the acceleration of gravity was g=9.0824. The acceleration of gravity from the calculation was g = 9.7744. Hypothesis As the length of the string increases, the period (T) of oscillation increases Introduction In pendulum method, the period of oscillations is independent of the pendulum mass, but dependent of the square root of the string length. The simple pendulum setup can be used for the determination of acceleration of gravity value (g) (Cutnell, & Kenneth, 2013). The mass of the pendulum should be kept constant while the length of the string is varied. The length is the manipulated variable, period (T) a responding variable while the mass of the pendulum a fixed variable. L=lengt M= mass X=amplitude g = acceleration of gravity 1. From Newton’s 2nd law of motion F= dp/dt 2. Hooke’s law F = -kx, k is the spring constant and x is the displacement Therefore, the back and forth motion can be expressed as w=2Πf = Replacing the mass with a moment of inertia (I), then the equation becomes; w=2Πf = ) mw2=k For small angles of displacement, The equation below gives...
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...Laboratory Report: Structure and Function (24) M. Author, C. O. Author, and C. O. Authortwo (11) Performed 20 November 2006; submitted 27 November 2006 (10) Abstract-Limit the abstract to four to five sentences stating the following: (a) statement of the problem, (b) methodology, (c) pertinent results, and (d) conclusion. Avoid numbers and symbols in the abstract. After you have written the abstract, write the title. In not more than 13 words, choose a title that would reflect your abstract. To do this you may use the “variable-method” structure, e.g. “Measuring a car’s acceleration using a pendulum.” Here the variable is the gravitational acceleration and the method is the simple pendulum. Another way is to use the “dependent-independent variable” structure, e.g. “Angular displacement of a pendulum in an accelerating car.” Here the dependent variable is the angular displacement of a pendulum and the dependent variable is the car’s acceleration. Note: do not mention any keyword in the title that you will never discuss in your report. A title is a promise that you must keep. (9) I. INTRODUCTION (8) The main purpose of the introduction is to give a motivation for the problem in the laboratory experiment performed. There are many ways to do this. One way is to start with mention something familiar to your reader, then slowly lead him to something unfamiliar—your problem. Along the way, define the terms in the title starting from the subject to...
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...harnessingquanta COPYRIGHT 2003 SCIENTIFIC AMERICAN, INC. Simple Rules for a Complex Quantum World An exciting new fundamental discipline of research combines information science and quantum mechanics By Michael A. Nielsen Updated from the November 2002 issue 25 COPYRIGHT 2003 SCIENTIFIC AMERICAN, INC. Over the past few decades, scientists have learned that simple rules can give rise to very rich behavior. A good example is chess. Imagine you’re an experienced chess player introduced to someone claiming to know the game. You play a few times and realize that although this person knows the rules of chess, he has no idea how to play well. He makes absurd moves, sacrificing his queen for a pawn and losing a rook for no reason at all. He does not truly understand chess: he is ignorant of the high-level principles and heuristics familiar to any knowledgeable player. These principles are collective or emergent properties of chess, features not immediately evident from the rules but arising from interactions among the pieces on the chessboard. Scientists’ current understanding of quantum mechanics is like that of a slowlearning student of chess. We’ve known the rules for more than 70 years, and we have a few clever moves that work in some special situations, but we’re only gradually learning the high-level principles that are needed to play a skillful overall game. The discovery of these principles is the goal of quantum information science, a fundamental field...
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...Forces and Motion For Students of Baldwin Wallace College Spring Semester 2011 Monday – Wednesday 10:00 – 11:15 am Room 139 Wilker Faculty Richard Heckathorn The materials for this course were organized and edited by Richard Heckathorn using materials from a program called Operation Physics and includes materials developed by him. The original OPERATION PHYSICS activity sequence to improve physics teaching and learning in upper elementary and middle schools was funded by the National Science Foundation. Original Material Copyright 1992 by American Institute of Physics Materials edited and photoduplicated with permission. FORCES & MOTION INTRODUCTION WORKSHOP LEADER’S TOPIC INFORMATION INTRODUCTION TO FORCES & MOTION An understanding of force and motion is fundamental to the study of almost all other physics-related topics. Yet it is a topic often overlooked or only cursorily introduced in elementary and middle school science, even though it is a topic typically identified for inclusion in the curriculum for these grades. A primary reason for this is that many teachers do not feel comfortable about their own understanding of the topic. Consequently, this may be the most needed of all of the OPERATION PHYSICS workshops. This workshop leader’s notebook is divided into two parts: PART ONE Motion Part One begins by introducing participants to the concepts of space and time....
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...SpringerBriefs in Physics Editorial Board Egor Babaev, University of Massachusetts, USA Malcolm Bremer, University of Bristol, UK Xavier Calmet, University of Sussex, UK Francesca Di Lodovico, Queen Mary University of London, London, UK Maarten Hoogerland, University of Auckland, New Zealand Eric Le Ru, Victoria University of Wellington, New Zealand James Overduin, Towson University, USA Vesselin Petkov, Concordia University, Canada Charles H.-T. Wang, The University of Aberdeen, UK Andrew Whitaker, Queen’s University Belfast, UK For further volumes: http://www.springer.com/series/8902 Péter Hraskó Basic Relativity An Introductory Essay ´ Emeritus Professor at University of Pecs, Hungary 123 Péter Hraskó University of Pécs H-7633 Pécs Szántó Kovács János u. 1/b Hungary e-mail: peter@hrasko.com ISSN 2191-5423 ISBN 978-3-642-17809-2 DOI 10.1007/978-3-642-17810-8 Springer Heidelberg Dordrecht London New York Ó Péter Hraskó 2011 e-ISSN 2191-5431 e-ISBN 978-3-642-17810-8 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be...
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...SENIOR SECONDARY COURSE PHYSICS 1 (CORE MODULES) Coordinators Dr. Oum Prakash Sharma Sh. R.S. Dass NATIONAL INSTITUTE OF OPEN SCHOOLING A-25, INSTITUTIONAL AREA, SECTOR-62, NOIDA-201301 (UP) COURSE DESIGN COMMITTEE CHAIRMAN Prof. S.C. Garg Former Pro-Vice Chancellor IGNOU, Maidan Garhi, Delhi MEMBERS Prof. A.R. Verma Former Director, National Physical Laboratory, Delhi, 160, Deepali Enclave Pitampura, Delhi-34 Dr. Naresh Kumar Reader (Rtd.) Deptt. of Physics Hindu College, D.U. Dr. Oum Prakash Sharma Asstt. Director (Academic) NIOS, Delhi Prof. L.S. Kothari Prof. of Physics (Retd.) Delhi University 71, Vaishali, Delhi-11008 Dr. Vajayshree Prof. of Physics IGNOU, Maidan Garhi Delhi Sh. R.S. Dass Vice Principal (Rtd.) BRMVB, Sr. Sec. School Lajpat Nagar, New Delhi-110024 Dr. G.S. Singh Prof. of Physics IIT Roorkee Sh. K.S. Upadhyaya Principal Jawahar Navodaya Vidyalaya Rohilla Mohammadabad (U.P.) Dr. V.B. Bhatia Prof. of Physics (Retd.) Delhi University 215, Sector-21, Faridabad COURSE DEVELOPMENT TEAM CHAIRMAN Prof. S.C. Garg Former Pro-Vice Chancellor IGNOU, Delhi MEMBERS Prof. V.B. Bhatia 215, Sector-21, Faridabad Prof. B.B. Tripathi Prof. of Physics (Retd.), IIT Delhi 9-A, Awadhpuri, Sarvodaya Nagar Lucknow-226016 Sh. K.S. Upadhyaya Principal Navodaya Vidyalaya Rohilla Mohammadabad, (U.P.) Dr. V.P. Shrivastava Reader (Physics) D.E.S.M., NCERT, Delhi EDITORS TEAM CHAIRMAN Prof. S.C. Garg Former Pro-Vice Chancellor IGNOU, Delhi MEMBERS Prof. B.B. Tripathi Prof...
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...NATURE OF MAN HISTORY AND PHILOSOPHY OF SCIENCE IN 10 MODULES E. Kolawole Ogundowole, Ph.D., D.Sc. Professor & Head of Philosophy Department University of Lagos. Akoka, Lagos. Nigeria Correct Counsels Limited Research. Counselling. Publishing. Book Supply First published 2003 Correct Counsels Ltd. P. O. Box 53 Akoka, Lagos. C E. Kolawole Ogundowole, 2003 ISBN: 978 -37004 - 0 – 5 This book is copyright. All rights reserved under the Copyright La Enquiries should be addressed to the Publishers. Printed in Nigeria by: Mustard Press Enterprises 16, Ogundola Street Sungas-BAriga. PREFACE A few words about the overall objectives of the course is appropriate as a starting point. Historically, philosophy was the first form of theoretical knowledge. As a rational theoretical tool of comprehending the world, philosophy arose in ancient Greece in stiff battle with mythology and religious consciousness. It came out to lay the foundation for the evolvement of scientific consciousness and the emergence and development of the sciences - Mathematics, Astronomy, Physics, Chemistry, Biology, etc. In an environment rife with various and varying superstitions and myths, the study of the History of Science and Philosophy of Science becomes crucial, lest science itself falls within the ambit of mythology and superstition and becomes another form of myth even in the hands of the tutored. The study of the History of Science...
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...PHYSIC AL CONSTANTS CONSTANT Speed of light Elementary charge Electron mass Proton mass Gravitational constant Permeability constant Permittivity constant Boltzmann’s constant Universal gas constant Stefan–Boltzmann constant Planck’s constant Avogadro’s number Bohr radius SYMBOL c e me mp G m0 P0 k R s h 15 2p"2 NA a0 THREE-FIGURE VALUE 3.003108 m/s 1.60310219 C 9.11310231 kg 1.67310227 kg 6.67310211 N # m2/kg 2 1.2631026 N/A2 1H/m2 8.85310212 C 2/N # m2 1F/m2 1.38310223 J/K 8.31 J/K # mol 5.6731028 W/m2 # K4 6.63310234 J # s 6.0231023 mol21 5.29310211 m BEST KNOWN VALUE* 299 792 458 m/s (exact) 1.602 176 4871402 310219 C 9.109 382 151452 310231 kg 1.672 621 6371832 310227 kg 6.674 281672 310211 N # m2/kg 2 4p31027 (exact) 1/m0c2 (exact) 1.380 65041242 310223 J/K 8.314 4721152 J/K # mol 5.670 4001402 31028 W/m2 # K4 6.626 068 961332 310234 J # s 6.022 141 791302 31023 mol21 5.291 772 08591362 310211 m *Parentheses indicate uncertainties in last decimal places. Source: U.S. National Institute of Standards and Technology, 2007 values SI PREFIXES POWER 1024 1021 1018 1015 1012 109 106 103 102 101 100 1021 1022 1023 1026 1029 10212 10215 10218 10221 10224 THE GREEK ALPHABET PREFIX yotta zetta exa peta tera giga mega kilo hecto deca — deci centi milli micro nano pico femto atto zepto yocto SYMBOL Y Z E P T G M k h da — d c m μ n p f a z y Alpha ...
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...Freud's Stages of Psychosexual Development Oral stage: Age Range: Birth to 1 Year Erogenous Zone: Mouth * During the oral stage, the infant's primary source of interaction occurs through the mouth, so the rooting and sucking reflex is especially important. The mouth is vital for eating, and the infant derives pleasure from oral stimulation through gratifying activities such as tasting and sucking. Because the infant is entirely dependent upon caretakers (who are responsible for feeding the child), the infant also develops a sense of trust and comfort through this oral stimulation. * The primary conflict at this stage is the weaning process--the child must become less dependent upon caretakers. If fixation occurs at this stage, Freud believed the individual would have issues with dependency or aggression. Oral fixation can result in problems with drinking, eating, smoking, or nail biting. The anal stage: Age Range: 1 to 3 years Erogenous Zone: Bowel and Bladder Control * During the anal stage, Freud believed that the primary focus of the libido was on controlling bladder and bowel movements. The major conflict at this stage is toilet training--the child has to learn to control his or her bodily needs. Developing this control leads to a sense of accomplishment and independence. * According to Freud, success at this stage is dependent upon the way in which parents approach toilet training. Parents who utilize praise and rewards for using the toilet at the appropriate...
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...Introductory Physics I Elementary Mechanics by Robert G. Brown Duke University Physics Department Durham, NC 27708-0305 rgb@phy.duke.edu Copyright Notice Copyright Robert G. Brown 1993, 2007, 2013 Notice This physics textbook is designed to support my personal teaching activities at Duke University, in particular teaching its Physics 141/142, 151/152, or 161/162 series (Introductory Physics for life science majors, engineers, or potential physics majors, respectively). It is freely available in its entirety in a downloadable PDF form or to be read online at: http://www.phy.duke.edu/∼rgb/Class/intro physics 1.php It is also available in an inexpensive (really!) print version via Lulu press here: http://www.lulu.com/shop/product-21186588.html where readers/users can voluntarily help support or reward the author by purchasing either this paper copy or one of the even more inexpensive electronic copies. By making the book available in these various media at a cost ranging from free to cheap, I enable the text can be used by students all over the world where each student can pay (or not) according to their means. Nevertheless, I am hoping that students who truly find this work useful will purchase a copy through Lulu or a bookseller (when the latter option becomes available), if only to help subsidize me while I continue to write inexpensive textbooks in physics or other subjects. This textbook is organized for ease of presentation and ease of learning. In particular, they are...
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...e eBook Collection Scientific American-Psychology Appendix Ch01 This is a Protected PDF document. Please enter your user name and password to unlock the text. User Name: Password: Unlock Remember my user name and password. If you are experiencing problems unlocking this document or you have questions regarding Protectedpdf files please contact a Technical Support representative: In the United States: 1-877-832-4867 In Canada: 1-800-859-3682 Outside the U.S. and Canada: 1-602-387-2222 Email: technicalsupport@apollogrp.edu. molempien kuninkaasta pantiin rakenna suunnilleen valmiita kannatusta tunne vanhurskaus ranskan laupeutensa etko riitaa jutussa koyhaa huuto referenssit palvelijan seuduilla kuluu ainakin luulivat tuomari varmistaa vuoriston kansoihin poydan persian kommunismikerralla sinkut jokilaakson tekojaan uskovia kohtuullisen maara ostan kaytetty muidenkin hopeaa ylos eloon tavoin persian toimittaa saapuu totuuden kaytosta osoittamaan pelastuksen hanta palvelijasi toivonsa seitsemaksi juoda lahettanytrunsaasti osan julistan muutakin riemuitkaa mieleen samaan mielipiteesi galileastaoleellista valitus pienta pientapaattavat jo hehku hyvasteli hengella isieni joihin tasangon menevat kansaansa sano ratkaisuja kirjuri selaimilla tahdet kapitalismin hekin pahempia tuot sijasta kyllin hyvaan suomen liittyvista keskuuteenne etujen uskottavuus pysytteli tunnustanut tulkintoja lammasta sovitusmenot tahdot elaimet onkos keneltakaan otetaan silmansa laillista puhumme...
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...CHAPTER 0 Contents Preface v vii Problems Solved in Student Solutions Manual 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Matrices, Vectors, and Vector Calculus Newtonian Mechanics—Single Particle Oscillations 79 127 1 29 Nonlinear Oscillations and Chaos Gravitation 149 Some Methods in The Calculus of Variations 165 181 Hamilton’s Principle—Lagrangian and Hamiltonian Dynamics Central-Force Motion 233 277 333 Dynamics of a System of Particles Motion in a Noninertial Reference Frame Dynamics of Rigid Bodies Coupled Oscillations 397 435 461 353 Continuous Systems; Waves Special Theory of Relativity iii iv CONTENTS CHAPTER 0 Preface This Instructor’s Manual contains the solutions to all the end-of-chapter problems (but not the appendices) from Classical Dynamics of Particles and Systems, Fifth Edition, by Stephen T. Thornton and Jerry B. Marion. It is intended for use only by instructors using Classical Dynamics as a textbook, and it is not available to students in any form. A Student Solutions Manual containing solutions to about 25% of the end-of-chapter problems is available for sale to students. The problem numbers of those solutions in the Student Solutions Manual are listed on the next page. As a result of surveys received from users, I continue to add more worked out examples in the text and add additional problems. There are now 509 problems, a significant number over the 4th edition. The instructor will find a large...
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...ALSO BY MALCOLM GLADWELL The Tipping Point To my parents, Joyce and Graham Gladwell Introduction The Statue That Didn’t Look Right In September of 1983, an art dealer by the name of Gianfranco Becchina approached the J. Paul Getty Museum in California. He had in his possession, he said, a marble statue dating from the sixth century BC. It was what is known as a kouros—a sculpture of a nude male youth standing with his left leg forward and his arms at his sides. There are only about two hundred kouroi in existence, and most have been recovered badly damaged or in fragments from grave sites or archeological digs. But this one was almost perfectly preserved. It stood close to seven feet tall. It had a kind of light-colored glow that set it apart from other ancient works. It was an extraordinary find. Becchina’s asking price was just under $10 million. The Getty moved cautiously. It took the kouros on loan and began a thorough investigation. Was the statue consistent with other known kouroi? The answer appeared to be yes. The style of the sculpture seemed reminiscent of the Anavyssos kouros in the National Archaeological Museum of Athens, meaning that it seemed to fit with a particular time and place. Where and when had the statue been found? No one knew precisely, but Becchina gave the Getty’s legal department a sheaf of documents relating to its more recent history. The kouros, the records stated, had been in the private collection of a Swiss physician named Lauffenberger...
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... rational analysis, and experimentation. Observation: Closely observe the physical world around you. Question: Recognize a question or a problem. Hypothesis: An educated guess or a reasonable explanation. When the hypothesis can be tested by experiment, it qualifies as a scientific hypothesis Prediction: Consequences that can be observed if the hypothesis is correct. The consequences should be absent if the hypothesis is not correct. Conclusion: Formulate the simplest general rule that organizes the hypothesis, predicted effects, and experimental findings. What is the principle of falsifiability? For a hypothesis to be considered scientific it must be testable?it must, in principle, be capable of being proven wrong. Fact: A phenomenon about which competent observers can agree. Theory: A synthesis of a large body of information that encompasses well-tested hypotheses about certain aspects of the natural world. Law: A general hypothesis or statement about the relationship of natural quantities that has been tested over and over again and has not been contradicted. Also known as a principle. Evidence: which serves to either support or counter a scientific theory or hypothesis. Experiment: is a test carried out in order to discover whether a theory is correct or what the results of a particular course of action would be . What did Galileo do to challenge Aristotle?s belief that heavy objects fall faster than lighter objects? Galileo...
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