## A Collection of Problems in Illustration of the Principles of Elementary Mechanics |

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... same parts , and are respectively proportional to these sides : to prove that the resultant will pass through the

... same parts , and are respectively proportional to these sides : to prove that the resultant will pass through the

**intersection**of the diagonals . Let ABCD , fig . ( 6 ) , be RESULTANT OF TWO FORCES ACTING ON A POINT . 3. Page 5

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**intersection**of the two other sides . SECT . 2. Trigonometrical Method . Let two forces P , Q , act upon a point , and let a be the angle between their directions : then , if R be their resultant , and if R's direction be inclined to ... Page 12

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**intersection**of W's direction . with the horizontal line through any point A of the plane , draw EF at right angles to the plane . Then , since P , W , R , produce equilibrium , they must be proportional to the sides FO , OE , EF ... Page 15

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**intersect**in the point 0 , fig . ( 15 ) . Then , the forces being in equilibrium , PQR sin Q , R : sin R , P : sin P , Q. B + C π A But < Q , R = < BOC = π 2 and therefore sin Q , R = cos = + 2 2 B similarly , sin R , P = cos and ... Page 19

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**intersection**of lines drawn from the angles of a triangle ABC to bisect opposite sides , to prove that the point will be in equilibrium . Let P , Q , R , be the points of bisection of the sides : then the resultant of the forces OA , OB ...### Other editions - View all

### 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...

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.