A Collection of Problems in Illustration of the Principles of Elementary Mechanics |
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Page v
... Uniform and Uniformly accelerated Motion , of falling Bodies , Projectiles , Collision , and Cycloidal Oscillations . " The whole number of propositions in Elementary Mechanics , as implied in these extracts from the Schedule , are ...
... Uniform and Uniformly accelerated Motion , of falling Bodies , Projectiles , Collision , and Cycloidal Oscillations . " The whole number of propositions in Elementary Mechanics , as implied in these extracts from the Schedule , are ...
Page xi
... Uniform motion . ib . II . Acceleration . 127 CHAPTER II . PROJECTILES • I. Motion resolved horizontally and vertically II . Motion resolved parallel to any straight lines CHAPTER III . . 136 • ib . 146 CONSTRAINED MOTION I. Direct ...
... Uniform motion . ib . II . Acceleration . 127 CHAPTER II . PROJECTILES • I. Motion resolved horizontally and vertically II . Motion resolved parallel to any straight lines CHAPTER III . . 136 • ib . 146 CONSTRAINED MOTION I. Direct ...
Page 34
... to the ends of a uniform bar of known weight , passes over four tacks so as to form with the bar a regular hexagon , the bar being hori- zontal : find the vertical component of the pressure upon 34 EQUILIBRIUM OF ANY NUMBER.
... to the ends of a uniform bar of known weight , passes over four tacks so as to form with the bar a regular hexagon , the bar being hori- zontal : find the vertical component of the pressure upon 34 EQUILIBRIUM OF ANY NUMBER.
Page 41
... uniform bent rod ABC , fig . ( 39 ) , moveable about its lower end A , which is fixed , is in equilibrium : to find the incli- nation of AB to the horizon , ABC being a right angle . Let AB = 2a , BC = 2b ; then the weights of AB , BC ...
... uniform bent rod ABC , fig . ( 39 ) , moveable about its lower end A , which is fixed , is in equilibrium : to find the incli- nation of AB to the horizon , ABC being a right angle . Let AB = 2a , BC = 2b ; then the weights of AB , BC ...
Page 43
... uniform rod CD , fig . ( 41 ) , moveable about a smooth hinge C , presses against a given inclined plane AB : to find the inclination of CD to the horizon in order that the pressure ex- erted by it on the plane may be equal to half its ...
... uniform rod CD , fig . ( 41 ) , moveable about a smooth hinge C , presses against a given inclined plane AB : to find the inclination of CD to the horizon in order that the pressure ex- erted by it on the plane may be equal to half its ...
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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...
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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.