A Collection of Problems in Illustration of the Principles of Elementary Mechanics |
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Page 4
... point : prove that the locus of the extremity of the straight line which represents either force is an indefinite perpendicular erected at the middle point of the given straight line . ( 8 ) If ABC be a right - angled triangle and ABDE ...
... point : prove that the locus of the extremity of the straight line which represents either force is an indefinite perpendicular erected at the middle point of the given straight line . ( 8 ) If ABC be a right - angled triangle and ABDE ...
Page 14
... middle weight , ABC must be an equilateral triangle , of which the side AB is horizontal . ( 9 ) A circular disc is kept at rest by three forces acting all outwards or all inwards along normals at three points of the circumference ...
... middle weight , ABC must be an equilateral triangle , of which the side AB is horizontal . ( 9 ) A circular disc is kept at rest by three forces acting all outwards or all inwards along normals at three points of the circumference ...
Page 21
... middle point of the side BC of a triangle ABC , fig . ( 18 ) three forces , represented by AB , AC , DA , act upon the point A to find the magnitude and direction of their resultant . Complete the parallelogram ABEC and join AE : the ...
... middle point of the side BC of a triangle ABC , fig . ( 18 ) three forces , represented by AB , AC , DA , act upon the point A to find the magnitude and direction of their resultant . Complete the parallelogram ABEC and join AE : the ...
Page 23
... middle points of the diagonals . SECT . 2. Trigonometrical method . ( 1 ) A force of two pounds and a force of three pounds act upon a point ; the direction of the former force being inclined at an angle of 60 ° , and that of the latter ...
... middle points of the diagonals . SECT . 2. Trigonometrical method . ( 1 ) A force of two pounds and a force of three pounds act upon a point ; the direction of the former force being inclined at an angle of 60 ° , and that of the latter ...
Page 24
... point O , in directions OA , OB , OC ; the angle AOC being a right angle , and the line OB bisecting the angle AOC ... middle point of a fixed horizontal , equilateral , and triangular board , and is kept in equilibrium by three equal ...
... point O , in directions OA , OB , OC ; the angle AOC being a right angle , and the line OB bisecting the angle AOC ... middle point of a fixed horizontal , equilateral , and triangular board , and is kept in equilibrium by three equal ...
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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.