A Collection of Problems in Illustration of the Principles of Elementary Mechanics |
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Page 6
... attached to a point A in a wall AB : from a point B of the wall a thin rod BC projects horizontally , pushing out the string : to find the pressure of the string on the rod . The end of the rod is acted on by the tension P of the ...
... attached to a point A in a wall AB : from a point B of the wall a thin rod BC projects horizontally , pushing out the string : to find the pressure of the string on the rod . The end of the rod is acted on by the tension P of the ...
Page 11
... attach- ed to a weight W : to find the pressure on each peg . The pressure on A is equal to W , and the pressure on either B or C is equal to W √3 ( 30 ) A , B , C , fig . ( 10 ) , are three fixed tacks : BC is hori- zontal and AB is ...
... attach- ed to a weight W : to find the pressure on each peg . The pressure on A is equal to W , and the pressure on either B or C is equal to W √3 ( 30 ) A , B , C , fig . ( 10 ) , are three fixed tacks : BC is hori- zontal and AB is ...
Page 14
... attached to given points of a fine string , the ends of which are tied to two fixed points : prove that the tensions of the three portions of the string cannot be all equal . ( 8 ) Two small rings slide on the arc of a smooth vertical ...
... attached to given points of a fine string , the ends of which are tied to two fixed points : prove that the tensions of the three portions of the string cannot be all equal . ( 8 ) Two small rings slide on the arc of a smooth vertical ...
Page 16
... attached to a weight P by means of a string passing over the rim of the bowl at a point A to determine W's position of equilibrium . Let M be the position of the weight's equilibrium , O being the centre of the sphere : let AOM = 0 ...
... attached to a weight P by means of a string passing over the rim of the bowl at a point A to determine W's position of equilibrium . Let M be the position of the weight's equilibrium , O being the centre of the sphere : let AOM = 0 ...
Page 17
... attached to a fixed point A , and to the other end is fixed a weight P : a string BO , shorter than AB , is attached to a point B in the same horizontal line with A , and is connected with the string AOP by a move- able loop O , which ...
... attached to a fixed point A , and to the other end is fixed a weight P : a string BO , shorter than AB , is attached to a point B in the same horizontal line with A , and is connected with the string AOP by a move- able loop O , 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
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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.