A Collection of Problems in Illustration of the Principles of Elementary Mechanics |
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Page 2
... draw the diagonal CD , which will repre- sent the resultant of CA , CB . Bisect CD in O and join 04 : then , since a circle can be described about the triangle CAD , having CD for its diameter , it is plain that OD , OA , which are ...
... draw the diagonal CD , which will repre- sent the resultant of CA , CB . Bisect CD in O and join 04 : then , since a circle can be described about the triangle CAD , having CD for its diameter , it is plain that OD , OA , which are ...
Page 3
... draw the line TQ parallel to AS , cutting the curve in any point Q. Draw QR parallel to TA , cutting AS in R : join PR . Then QR , AP , are equal to one another , being each equal to AT ; they have also been drawn parallel to each other ...
... draw the line TQ parallel to AS , cutting the curve in any point Q. Draw QR parallel to TA , cutting AS in R : join PR . Then QR , AP , are equal to one another , being each equal to AT ; they have also been drawn parallel to each other ...
Page 4
... draw OE , OF , parallel to DC , AB , respectively . L L The angle OBE is equal to AOB + BAO , and there- fore to DOC ... drawn from the point : prove that the locus of the extremity of the straight line which represents either force is ...
... draw OE , OF , parallel to DC , AB , respectively . L L The angle OBE is equal to AOB + BAO , and there- fore to DOC ... drawn from the point : prove that the locus of the extremity of the straight line which represents either force is ...
Page 5
... draw Co to bisect the angle between their directions , and draw y Cy ' at right angles to Cx . Then one of the forces is equal to Pcos 30 ° along Cx and Psin 30 ° along RESULTANT OF TWO FORCES ACTING ON A POINT . 5 II Trigonometrical ...
... draw Co to bisect the angle between their directions , and draw y Cy ' at right angles to Cx . Then one of the forces is equal to Pcos 30 ° along Cx and Psin 30 ° along RESULTANT OF TWO FORCES ACTING ON A POINT . 5 II Trigonometrical ...
Page 6
... drawn in different directions by the forces P and Q to determine the angle between these directions , sup- posing the pressure on the pin to be equal to ( P + Q ) . Let be the required angle : then , ( P + Q ) being by the hypothesis ...
... drawn in different directions by the forces P and Q to determine the angle between these directions , sup- posing the pressure on the pin to be equal to ( P + Q ) . Let be the required angle : then , ( P + Q ) being by the hypothesis ...
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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.