A Collection of Problems in Illustration of the Principles of Elementary Mechanics |
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Page 132
... instant when the latter body is let go , the velocity of the former body is ( 2ga ) * . Since gravity cannot affect the relative velocity of the two bodies , ( 2ga ) is therefore always their relative velocity : hence , b being their ...
... instant when the latter body is let go , the velocity of the former body is ( 2ga ) * . Since gravity cannot affect the relative velocity of the two bodies , ( 2ga ) is therefore always their relative velocity : hence , b being their ...
Page 139
... instant from a point in different directions with the same velocity : to find their locus at the end of a given time . Since gravity acts in the same direction and with the same intensity upon all the bodies , their relative motion will ...
... instant from a point in different directions with the same velocity : to find their locus at the end of a given time . Since gravity acts in the same direction and with the same intensity upon all the bodies , their relative motion will ...
Page 141
... instant , with velocities , the horizontal components of which are u , u ' , and the vertical components respectively v , v ' , prove that the time which elapses between their transits through an- other point , which is common to both ...
... instant , with velocities , the horizontal components of which are u , u ' , and the vertical components respectively v , v ' , prove that the time which elapses between their transits through an- other point , which is common to both ...
Page 149
... instant another particle is projected from A find the condition that the particles may meet , and when and where this occurs . The second particle must be projected at right angles to the plane . If a be the inclination of the plane and ...
... instant another particle is projected from A find the condition that the particles may meet , and when and where this occurs . The second particle must be projected at right angles to the plane . If a be the inclination of the plane and ...
Page 152
... instant of their motion , in the same plane , to prove that they will be so throughout their motion , and that a circle can be described passing through them . If , at one instant of the motion , the particles are in the same plane , it ...
... instant of their motion , in the same plane , to prove that they will be so throughout their motion , and that a circle can be described passing through them . If , at one instant of the motion , the particles are in the same plane , it ...
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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
Popular passages
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.