Lessons on Rigid Dynamics |
From inside the book
Results 1-5 of 25
Page 1
... particles such that the distance between each pair is unchangeable . The movements of such a body are very different from those of a set of independent points . Its fixed connec tions introduce a common movement . Any straight line or ...
... particles such that the distance between each pair is unchangeable . The movements of such a body are very different from those of a set of independent points . Its fixed connec tions introduce a common movement . Any straight line or ...
Page 4
... particles AB has taken up the position A'B . Now cause the body to rotate about an axis through A ' perpendicular to the plane of the paper through an equal and opposite angle . The line A'B takes up the position A'B ' parallel to AB ...
... particles AB has taken up the position A'B . Now cause the body to rotate about an axis through A ' perpendicular to the plane of the paper through an equal and opposite angle . The line A'B takes up the position A'B ' parallel to AB ...
Page 19
... rate of change of the velocity . 2. Such are the laws by which the motions of a single particle are determined . Newton's third law , promulgated in 1687 , -that action and reaction between connected bodies 2-2 III IV D'Alembert's ...
... rate of change of the velocity . 2. Such are the laws by which the motions of a single particle are determined . Newton's third law , promulgated in 1687 , -that action and reaction between connected bodies 2-2 III IV D'Alembert's ...
Page 20
... particles . But this was not at first appreciated . The student will find in the second volume of Whewell's History ... particle to a system still remained , viz . what effect motion impressed on one part of a rigid body has on another ...
... particles . But this was not at first appreciated . The student will find in the second volume of Whewell's History ... particle to a system still remained , viz . what effect motion impressed on one part of a rigid body has on another ...
Page 21
... particles is proved for a rigid body . " Given a system of bodies related to one another in any manner whatever ; and suppose that on each of these bodies a particular motion is impressed , which it cannot follow on account of the ...
... particles is proved for a rigid body . " Given a system of bodies related to one another in any manner whatever ; and suppose that on each of these bodies a particular motion is impressed , which it cannot follow on account of the ...
Other editions - View all
Common terms and phrases
angular acceleration angular momentum angular velocity Cambridge centre of inertia centre of mass Christ's College cloth co-ordinates cos² couple Crown 8vo cylinder direction distance dt dt dt² effective forces ellipsoid English equal equilibrium Extra fcap fixed axis fixed point force acting friction geometrical Hence hoop horizontal plane impressed forces impulsive inclined kinetic energy late Fellow length 2a linear Mathematical middle point moment of inertia moments of inertia motion moving numerous oscillation Owens College particle pendulum perpendicular position pressure principal axes principle problem product of inertia Professor Prove radius radius of gyration resultant reversed right angles rigid body rotation round Schools Second Edition shew solution sphere straight line string suppose taking moments tion translation tube uniform rod vertical plane whence whole zero Σδη
Popular passages
Page 28 - EUROPEAN HISTORY. Narrated in a Series of Historical Selections from the Best Authorities. Edited and arranged by EM SEWELL and CM YONGE. First Series, 1003—1154. Third Edition. Crown 8vo. 6s. Second Series, 1088—1228. Crown 8vo. 6s. Third Edition. " We know of scarcely anything which is so likely to raise to a higher level the average standard of English education.
Page 10 - AN ELEMENTARY TREATISE ON THE LUNAR THEORY, with a Brief Sketch of the Problem up to the time of Newton. Second Edition, revised. Crown 8vo. $s. 6d. HEMMING— AN ELEMENTARY TREATISE ON THE DIFFERENTIAL AND INTEGRAL CALCULUS, for the Use of Colleges and Schools.
Page 17 - LOGIC. ELEMENTARY LESSONS IN LOGIC; Deductive and Inductive, with copious Questions and Examples, and a Vocabulary of Logical Terms. By W. STANLEY JEVONS, MA, Professor of Logic in University College, London. New Edition. Fcap. 8vo. 3^. 6d. " Nothing can be better for a school-book.
Page 10 - HEMMING— AN ELEMENTARY TREATISE ON THE DIFFERENTIAL AND INTEGRAL CALCULUS, for the Use of Colleges and Schools. By GW HEMMING, MA, Fellow of St. John's College, Cambridge. Second Edition, with Corrections and Additions. 8vo.
Page 6 - ON THE ALGEBRAICAL AND NUMERICAL THEORY OF ERRORS OF OBSERVATIONS AND THE COMBINATION OF OBSERVATIONS.
Page 11 - Prelector of St. John's College, Cambridge. AN ELEMENTARY TREATISE ON MECHANICS. For the Use of the Junior Classes at the University and the Higher Classes in Schools.
Page 3 - MAYOR (JOSEPH B.)— GREEK FOR BEGINNERS. By the Rev. JB MAYOR, MA, Professor of Classical Literature in King's College, London. Part I., with Vocabulary, is.
Page 6 - Crown 8vo. 6s. 6d. ON SOUND AND ATMOSPHERIC VIBRATIONS. With the Mathematical Elements of Music. Designed for the Use of Students in the University. Second Edition, Revised and Enlarged. Crown 8vo.
Page 6 - THE SEVEN KINGS OF. ROME. An Easy Narrative, abridged from the First Book of Livy by the omission of Difficult Passages; being a First Latin Reading Book, with Grammatical Notes and Vocabulary.
Page 31 - A GENERAL SURVEY OF THE HISTORY OF THE CANON OF THE NEW TESTAMENT DURING THE fIRST FOUR CENTURIES. Fourth Edition. With Preface on "Supernatural Religion.