A Collection of Problems in Illustration of the Principles of Elementary Mechanics |
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Page 183
... impinges against a circular arc : determine the point of impact , in order that it may rebound at right angles to its direction of incidence . Let A be the point of the arc , the radius of which is parallel to the direction of incidence ...
... impinges against a circular arc : determine the point of impact , in order that it may rebound at right angles to its direction of incidence . Let A be the point of the arc , the radius of which is parallel to the direction of incidence ...
Page 184
... impinges on a fixed rough plane in a given direction : determine the direction of the motion of the particle after impact , the impulsive friction being proportional to the impulsive pressure between the particle and plane . If a , a ...
... impinges on a fixed rough plane in a given direction : determine the direction of the motion of the particle after impact , the impulsive friction being proportional to the impulsive pressure between the particle and plane . If a , a ...
Page 186
... impinge on A ,; A , then impinges on A ,, and so on ; to find the relation between the masses of the balls , in order that each of them may be at rest after impinging on the next ; and to find the velocity of the nth ball after its ...
... impinge on A ,; A , then impinges on A ,, and so on ; to find the relation between the masses of the balls , in order that each of them may be at rest after impinging on the next ; and to find the velocity of the nth ball after its ...
Page 187
... impinge directly upon A and , rebounding , strikes C : to shew that , if A and C , after having been struck by B , each ... impinges directly upon another of twice its mass , which is at rest : prove that it loses two - thirds of its ...
... impinge directly upon A and , rebounding , strikes C : to shew that , if A and C , after having been struck by B , each ... impinges directly upon another of twice its mass , which is at rest : prove that it loses two - thirds of its ...
Page 188
... impinges directly on a ball B , which is at rest , the balls being perfectly elastic : shew that , whatever be the ... impinge directly on B , and B consequently on C ; compare the velocity thus communicated to C with the velocity which ...
... impinges directly on a ball B , which is at rest , the balls being perfectly elastic : shew that , whatever be the ... impinge directly on B , and B consequently on C ; compare the velocity thus communicated to C with the velocity which ...
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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.