A Collection of Problems in Illustration of the Principles of Elementary Mechanics |
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Page 105
... balls , of equal weight W , are connected by a string ACDB , which passes over two tacks C , D , in a horizontal line ; a given sphere , of weight W , being placed on the string at the middle point of CD , find how far A and B must rise ...
... balls , of equal weight W , are connected by a string ACDB , which passes over two tacks C , D , in a horizontal line ; a given sphere , of weight W , being placed on the string at the middle point of CD , find how far A and B must rise ...
Page 108
... balls , of different substances , con- nected together by strings , are placed on a rough plane inclined to the ... ball and the plane , and the system be on the point of slipping , n tan a = μ1 + μ2 + μz + ...... + μn . CHAPTER IX ...
... balls , of different substances , con- nected together by strings , are placed on a rough plane inclined to the ... ball and the plane , and the system be on the point of slipping , n tan a = μ1 + μ2 + μz + ...... + μn . CHAPTER IX ...
Page 126
... ball , which issues from a gun with a velocity of 1500 feet per second , light passing from the Sun to the Earth , a dis- tance of ninety - five millions of miles , in 83 minutes ? The required ratio is 668800 . ( 4 ) A person ...
... ball , which issues from a gun with a velocity of 1500 feet per second , light passing from the Sun to the Earth , a dis- tance of ninety - five millions of miles , in 83 minutes ? The required ratio is 668800 . ( 4 ) A person ...
Page 143
... ball is one mile , prove that the height of the point which the ball strikes is 165 feet above the horizontal plane on which the cannon stands . ( 25 ) A body is projected , at an angle a to the horizon , so as just to clear two walls ...
... ball is one mile , prove that the height of the point which the ball strikes is 165 feet above the horizontal plane on which the cannon stands . ( 25 ) A body is projected , at an angle a to the horizon , so as just to clear two walls ...
Page 147
... balls are shot at the same moment , from given points , straight at the same mark : to compare their initial velo- cities , so that they may hit each other . Let P , P ' , be the two given points , and C the mark . Also let V , V ...
... balls are shot at the same moment , from given points , straight at the same mark : to compare their initial velo- cities , so that they may hit each other . Let P , P ' , be the two given points , and C the mark . Also let V , V ...
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Common terms and phrases
body is projected centre of gravity chord coefficient of friction collision component cos² cylinder denote described determine directrix distance equal forces equation feet find the position find the pressure fixed point forces act fulcrum geometrical progression given circle given point hangs hence highest point horizontal plane impact impinges inclined plane intersection join latus rectum lever line of quickest lowest point magnitude and direction mass middle point motion moveable parabola parallel parallelogram particle perfectly elastic ball perpendicular point of projection position of equilibrium pound weight pounds prove pully quickest descent radii radius ratio reaction respectively rest resultant right angles SECT shew sides sin² sliding smooth sphere straight line string passing supposing suspended tan¹ tangent three forces uniform rod velocity of projection vertex vertical circle vertical plane
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Page 255 - Classics, so far as they have been published, will be adopted. These editions have taken their place amongst scholars as valuable contributions to the Classical Literature of this country, and are admitted to be good examples of the judicious and practical nature of English scholarship ; and as the editors have formed their texts from a careful examination of the best editions extant, it is believed that no texts better for general use can be found. The volumes will be well printed at the Cambridge...
Page 257 - Progressive Exercises in Greek Tragic Senarii, followed by a Selection from the Greek Verses of Shrewsbury School, and prefaced by a short Account of the Iambic Metre and Style of Greek Tragedy. For the use of Schools and Private Students. Second Edition, altered and revised. 8vo. 8*.
Page 141 - OUT of childhood into manhood Now had grown my Hiawatha, Skilled in all the craft of hunters, Learned in all the lore of old men, In all youthful sports and pastimes, In all manly arts and labors. Swift of foot was Hiawatha ; He could shoot an arrow from him, And run forward with such fleetness, That the arrow fell behind him...
Page 255 - THIS series is intended to supply for the use of Schools and Students cheap and accurate editions of the Classics, which shall be superior in mechanical execution to the small German editions now current in this country, and more convenient in form. The texts of the " Bibliotheca Classica" and " GrammarSchool Classics,'" so far as they have been published, will be adopted.