A Collection of Problems in Illustration of the Principles of Elementary Mechanics |
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Page 6
... 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 portion CA of the string , in the ...
... 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 portion CA of the string , in the ...
Page 11
... wall in the angles of an equilateral triangle , A being the highest and BC being horizontal : a string , the length of which is equal to four times a side of the triangle is hung over them , and its two ends attach- ed to a weight W ...
... wall in the angles of an equilateral triangle , A being the highest and BC being horizontal : a string , the length of which is equal to four times a side of the triangle is hung over them , and its two ends attach- ed to a weight W ...
Page 43
... wall CD , its pressure against the wall is the same as when a man of weight M ascends to a point m : to prove that B : M : Am : Ab . Let G be the centre of gravity of the ladder and W its weight let R denote the reaction of the wall ...
... wall CD , its pressure against the wall is the same as when a man of weight M ascends to a point m : to prove that B : M : Am : Ab . Let G be the centre of gravity of the ladder and W its weight let R denote the reaction of the wall ...
Page 52
... wall , three weights , each equal to P , being suspended from points quadrisecting the rod : find the pressure of the rod on the wall , the inclination of the rod to the horizon being a . The required pressure is equal to ( 3P + W ) cot ...
... wall , three weights , each equal to P , being suspended from points quadrisecting the rod : find the pressure of the rod on the wall , the inclination of the rod to the horizon being a . The required pressure is equal to ( 3P + W ) cot ...
Page 79
... wall , by means of a fine string at- tached to the lower end of the rod and to a point in the wall : to find by a geometrical construction the point in the wall to which the string must be attached . Let AB , fig . ( 71 ) , be the rod ...
... wall , by means of a fine string at- tached to the lower end of the rod and to a point in the wall : to find by a geometrical construction the point in the wall to which the string must be attached . Let AB , fig . ( 71 ) , be the rod ...
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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 - 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.