Product Description
ELEMENTS OF THE THEORY OF RESONANCE ILLUSTRATED BY THE MOTION OF A PENDULUM By E. W. BROJKN, Sc. D, F. R. S. Josiah ff Gibbs Professor of Mathematics Tale University CAMBRIDGE AT THE UNIVERSITY PRESS 1932 PRINTED IN THE UNITED STATES OF AMERICA CONTENTS Introduction ...... page t d x I. The Equation - K 2 sin x o . . . 1 1 Method of Approximation . . . .18 2 v The Generalized Equation - f o . 20 II. Solutions of III. Application to the Pendulum with an Oscillating Support . . . . . .36 IV. Applications to the Mutual Influence of Two Pendulums ...... 43 V. Solutions of v x m f , 53 VI. The Effect of Friction ..... 56 PREFACE This pamphlet contains an attempt to describe and analyse the phenomena which are peculiar to resonance in an elementary manner. Although the subject is of fundamental importance in many mechanical problems it has received but little attention in the text books. The treatment, which consists of an investigation of the changes which take place in the amplitude and phase of a vibrating element under certain types of forces, appears to be convenient both for the mathematical development and for the interpretation of the results. The issue of The Rice Institute Pamphlet, Vol. xix, No. i, in the present form, is made with the permission of the Trustees of the Institute and the co-operation of the Cambridge University Press, and is due to the hope that it may prove to be useful to students and others who may not have easy access to the publications of the Institute. My thanks are due to Professor C. G. Darwin for his helpful criticisms, especially in the mode of presentation of a subject in which the method of approach and certain of the results appear to have some degree of novelty. ERNEST W. BROWN April 1932 ELEMENTS OF THE THEORY OF RESONANCE ILLUSTRATED BY THE MOTION OF A PENDULUM 1 INTRODUCTION 1. The original observations which gave rise to the word resonance were audible sounds which are familiar to most of us. A note is struck on a piano or other musical instrument and some body a wall or another musical instrument will take up the same note and will continue to sound it even after the original source is stopped. The megaphone takes up the vibrations of the air produced by the voice and gives them out again, concentrated in a particular direction. A vibrating body, for example, the cylinders in the engine of an automobile, will set up vibrations in other parts of the car, certain vibrations being noticeable at certain speeds and others at other speeds. To all these phenomena the term resonance is applied. But the actual nature of the phenomena is not always the same. The megaphone and loud speaker are designed to take up and emit any vibration within a certain range of frequency. On the other hand, the audible vibrations of a stretched wire are confined to a limited number of sounds as long as we keep the tension unaltered, and these bear definite relations to one another to produce resonance in such a wire, it is necessary to sound a note with a frequency 1 A course of lectures, given at the Rice Institute, April 22, 23, and 24, 1931, by Ernest William Brown, D. Sc., F. R. S., Josiah W. Gibbs Professor of Mathematics in Yale University 1 2 Introduction very near that of one of these modes of vibration. These illustrations bring up the necessity for a definition of what are usually called the natural frequencies or periods of vibration of any system. 2. A stretched wire when made to vibrate appears to give out the same note, in general, however it may be struck or when the bow of the violin is drawn across it. An ordinary drinking glass exhibits the same phenomenon it gives out the same note when struck as when the finger is wetted and run around the top edge of the glass. The periods of these sounds are called natural periods of vibration they depend only on the construction of the mechanism and not on the manner in which its vibrations are started. But this last statement is not exact... ... Read more

Product Description
Kessinger Publishing is the place to find hundreds of thousands of rare and hard-to-find books with something of interest for everyone! ... Read more

Product Description
This scarce antiquarian book is a selection from Kessinger Publishing's Legacy Reprint Series. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment to protecting, preserving, and promoting the world's literature. Kessinger Publishing is the place to find hundreds of thousands of rare and hard-to-find books with something of interest for everyone! ... Read more

Product Description
Les achats comprennent une adhésion à l'essai gratuite au club de livres de l'éditeur, dans lequel vous pouvez choisir parmi plus d'un million d'ouvrages, sans frais. Le livre consiste d'articles Wikipedia sur : Joseph Boxhall, Dorothy Mackaill, William Wilberforce, Ernest William Brown, Dean Windass, Charles Sheffield, Alfred Harker, Poppy Morgan, Ralph Thomas, Adrian Hardy Haworth, Edward Arthur Milne, William Kirby, Tom Courtenay, Karen Briggs, Trevor Bolder, Cosey Fanni Tutti, Thomas Frederic Cheeseman, Thomas Somerscales, Everard Home, John Venn, William Mason, William Spence, Maureen Lipman, Joseph Henry Gilbert. Non illustré. Mises à jour gratuites en ligne. Extrait : Joseph Groves Boxhall, (23 mars 1884 - 25 avril 1967) est un marin britannique qui a notamment été le quatrième officier à bord du RMS Titanic. Élevé dans une famille de marins, il obtient ses certificats de second en 1903, puis ceux de capitaine dans les années qui suivent. Il rejoint finalement la White Star Line en 1907 et sert sur plusieurs navires, dont notamment l'Oceanic avant d'être muté à bord du Titanic. Comme les autres officiers du paquebot, il participe aux essais en mer du navire, puis quitte Southampton le 10 avril 1912. À bord, il est notamment chargé des tâches liées à la navigation telles que le relevé de position. Le 14 avril à , Boxhall se trouve près de la passerelle lorsque le paquebot heurte un iceberg. Il est par la suite chargé de tirer des fusées de détresse pour signaler la position du navire. Il est finalement chargé d'un canot et est récupéré au matin par le Carpathia. Par la suite, Boxhall participe aux commissions d'enquête et reprend son service pour la White Star. Durant la Première Guerre mondiale, il commande un navire de guerre, puis redevient officier au sein de sa compagnie. Il est par ailleurs le seul officier rescapé du naufrage à y rester toute sa carrière, qui se termine en 1940. Longtemps réticent à l'idée de par...http://booksllc.net/?l=fr ... Read more

Product Description
Les achats comprennent une adhésion à l'essai gratuite au club de livres de l'éditeur, dans lequel vous pouvez choisir parmi plus d'un million d'ouvrages, sans frais. Le livre consiste d'articles Wikipedia sur : John Milton, Sacha Baron Cohen, William Ames, Ernest William Brown, John Leland, Jagadish Chandra Bose, Harry Marshall Ward, Arthur Everett Shipley, Martin Evans, John Desmond Clark, Richard Luce, Henry More, William Lee, William Perkins, Walter Edward Davidson, Christ's College. Non illustré. Mises à jour gratuites en ligne. Extrait : John Milton (1608 - 1674) est un poète et un pamphlétaire anglais, célèbre pour être, en particulier, l'auteur de plusieurs poèmes épiques, Paradise Lost. Paradise Regained et Samson Agonistes, et aussi de sonnets. Né à Londres en 1608, il fréquente de prestigieux établissements, St Paul's et Christ's College, Cambridge. Cependant, son désaccord avec son « tutor » (« directeur d'études ») rend son éducation, dans un premier temps, tumultueuse. À bien des égards, cependant, c'est un autodidacte qui ne cesse d'étudier et approfondir ses connaissances en langues anciennes et modernes, philosophie, littérature et théologie. À la victoire puritaine du Commonwealth de l'Angleterre, il est nommé Secrétaire d'État aux langues étrangères, poste qui le conduit à gérer l'image du nouveau régime auprès de l'étranger. Il publie de nombreux pamphlets et traités en latin ou en anglais. Sa vue baisse inexorablement et, à l'âge de 40 ans, il est complètement aveugle. Il reçoit alors l'aide d'assistants, en particulier celle du poète Andrew Marvell. Lors de la Restauration, il est arrêté et emprisonné à la Tour de Londres pendant quelques semaines, mais se voit assez rapidement libéré. Il se consacre alors à l'écriture de ses longs poèmes épiques, d'une Histoire de l'Angleterre et aussi de sonnets plus intimes, dont le célèbre « On His Blindness » (« Sur sa cécité »). Il meurt le 8 novembre 1674. Il est c...http://booksllc.net/?l=fr ... Read more

Product Description
Purchase includes free access to book updates online and a free trial membership in the publisher's book club where you can select from more than a million books without charge. Chapters: Ernest William Brown, Adam Garfinkle, Arthur Charles Lewis Brown, Richard J. Bernstein, Ronald Frank Thiemann, Wilson Carey Mcwilliams, Charles M. Payne, Roger Lane, Robert Stevens, Curt Cacioppo, Douglas V. Steere, Frederic M. Wheelock, Beth Willman, Roberto Castillo. Excerpt:Adam Morris Garfinkle Homer T. Knudbucker Jr. Adam M. Garfinkle (born June 1, 1951 in Washington, D. C.) is the editor of The American Interest , a public policy quarterly magazine. He was previously editor of another such publication, The National Interest . He has been a university teacher and a staff member at high levels of the U.S. government . He was a speechwriter to more than one U.S. Secretary of State . Garfinkle was a speechwriter for both George W. Bush 's Secretaries of State, Colin Powell and Condoleezza Rice . He was editor of The National Interest and left to edit The American Interest magazine in 2005. Francis Fukuyama , Eliot Cohen , Zbigniew Brzezinski , Josef Joffe , and Ruth Wedgwood were among the magazine's founding leadership. Early in his career, Dr. Garfinkle worked at the Foreign Policy Research Institute (1972 1978 and from 1981). He taught American foreign policy and Middle East politics at the University of Pennsylvania (1980 1989) and The Johns Hopkins University 's School of Advanced International Studies . He has also taught at Drexel University (1980), Widener College (Chester, Pennsylvania ) (1981), Haverford College (1991), and Tel Aviv University (1992 1993). He served on the staff of the National Security Study Group of the US Commission on National Security/21st Century (the Hart-Rudman Commission), as an aide to General Alexander M. Haig, Jr. (1979 1980), and an assistant to Senator Henry M. Jackson (1979). As of 2009, he was a member of the project "Middle East at... ... Read more

Product Description
This digital document is an article from African American Review, published by Thomson Gale on March 22, 2007. The length of the article is 8550 words. The page length shown above is based on a typical 300-word page. The article is delivered in HTML format and is available in your Amazon.com Digital Locker immediately after purchase. You can view it with any web browser.

Citation Details
Title: Traumatic theology in the Narrative of the Life of Henry Box Brown, written by himself.
Author: John Ernest
Publication: African American Review (Magazine/Journal)
Date: March 22, 2007
Publisher: Thomson Gale
Volume: 41Issue: 1Page: 19(13)

Distributed by Thomson Gale ... Read more

Product Description
This digital document is an article from Sojourners, published by Sojourners on September 1, 2002. The length of the article is 1519 words. The page length shown above is based on a typical 300-word page. The article is delivered in HTML format and is available in your Amazon.com Digital Locker immediately after purchase. You can view it with any web browser.

Citation Details
Title: A lesson for living: for Louisiana writer Ernest Gaines, home is the place where you're torn between the difficulty of leaving and the terror of staying.(Interview)
Author: Dale Brown
Publication: Sojourners (Magazine/Journal)
Date: September 1, 2002
Publisher: Sojourners
Volume: 31Issue: 5Page: 30(4)

Article Type: Interview

Distributed by Thomson Gale ... Read more

Product Description

Ernest Brown has faced hardship throughout his life. Through it all, he was never alone-he always had the guidance of Jesus Christ, his Savior and Lord.