A Collection of Problems in Illustration of the Principles of Elementary Mechanics |
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Page 3
... circle , towards 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 .
... circle , towards 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 .
Page 5
... proportional to these sides ; prove that their resultant passes through the 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 ...
... proportional to these sides ; prove that their resultant passes through the 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 ...
Page 9
... proportional between its greatest and least value . If P be not less than Q , the required angle is equal to Cos -1 (一) ( 21 ) Two equal forces act on a particle , first at an angle of 45 ° to each other , and next at an angle of 90 ...
... proportional between its greatest and least value . If P be not less than Q , the required angle is equal to Cos -1 (一) ( 21 ) Two equal forces act on a particle , first at an angle of 45 ° to each other , and next at an angle of 90 ...
Page 12
... proportional to the sides BC , CA , AB , of a triangle ABC , and of which the directions are either parallel to these sides or respectively in- clined to them at equal angles , act upon a point , they will pro- duce equilibrium , and ...
... proportional to the sides BC , CA , AB , of a triangle ABC , and of which the directions are either parallel to these sides or respectively in- clined to them at equal angles , act upon a point , they will pro- duce equilibrium , and ...
Page 13
... the three perpendiculars drawn from the angles of a triangle to the opposite sides , and their magnitudes inversely proportional to these perpendiculars : to prove that the three EQUILIBRIUM OF THREE FORCES ACTING ON A POINT . 13.
... the three perpendiculars drawn from the angles of a triangle to the opposite sides , and their magnitudes inversely proportional to these perpendiculars : to prove that the three EQUILIBRIUM OF THREE FORCES ACTING ON A POINT . 13.
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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.