A Collection of Problems in Illustration of the Principles of Elementary Mechanics |
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Page 180
... elasticity , in order that the time of motion may be n times that of describing the diameter with the velocity of projection . Let AB , fig . ( 121 ) , be the diameter , APB the path of the particle , C the centre of the circle . Join ...
... elasticity , in order that the time of motion may be n times that of describing the diameter with the velocity of projection . Let AB , fig . ( 121 ) , be the diameter , APB the path of the particle , C the centre of the circle . Join ...
Page 182
... elasticity e , is projected along a horizontal plane , from the middle point of one of the sides of an isosceles right - angled triangle , so as , after reflection at the hypotenuse and remaining side , to return to the same point ; to ...
... elasticity e , is projected along a horizontal plane , from the middle point of one of the sides of an isosceles right - angled triangle , so as , after reflection at the hypotenuse and remaining side , to return to the same point ; to ...
Page 183
... elasticity , 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 ...
... elasticity , 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 ...
Page 184
... elasticity e , be projected from D , so as to strike AC in E and then rebound to F , AE = e . CE : if the ball return to D , prove that also AB = e.AC . ( 7 ) A ball is projected from the middle point of one side of a billiard - table ...
... elasticity e , be projected from D , so as to strike AC in E and then rebound to F , AE = e . CE : if the ball return to D , prove that also AB = e.AC . ( 7 ) A ball is projected from the middle point of one side of a billiard - table ...
Page 185
... elasticity of the balls , supposing the mass of B to be times that of A. Let m be the mass of A , u its velocity before , and v its velo- city , in the opposite direction , after collision : the mass of B is accordingly Am , and its ...
... elasticity of the balls , supposing the mass of B to be times that of A. Let m be the mass of A , u its velocity before , and v its velo- city , in the opposite direction , after collision : the mass of B is accordingly Am , and its ...
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Common terms and phrases
body is projected centre of gravity chord coefficient of friction collision component cos˛ 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 sin˛ sliding smooth sphere straight line string passing supposing suspended tanš 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.