A Collection of Problems in Illustration of the Principles of Elementary Mechanics |
From inside the book
Results 1-5 of 16
Page 40
... fulcrum , and , conversely , if their resultant passes through the fulcrum , there will be equilibrium . The above condition of equilibrium may be replaced by the following one viz . that the moments of the forces about the fulcrum ...
... fulcrum , and , conversely , if their resultant passes through the fulcrum , there will be equilibrium . The above condition of equilibrium may be replaced by the following one viz . that the moments of the forces about the fulcrum ...
Page 41
William Walton. at rest about the fulcrum A unless its direction coincides with AB : the line DC must therefore be parallel to AB . ( 2 ) A shop - keeper has in his shop correct weights but a false balance , that is , one having one arm ...
William Walton. at rest about the fulcrum A unless its direction coincides with AB : the line DC must therefore be parallel to AB . ( 2 ) A shop - keeper has in his shop correct weights but a false balance , that is , one having one arm ...
Page 42
... fulcrum that equilibrium may be maintained , the inclinations of P's and Q's directions to AB being a and ẞ respectively . Let AB = c ; and let x , y , be the distances of the fulcrum from A , B , respectively . Then , taking moments ...
... fulcrum that equilibrium may be maintained , the inclinations of P's and Q's directions to AB being a and ẞ respectively . Let AB = c ; and let x , y , be the distances of the fulcrum from A , B , respectively . Then , taking moments ...
Page 44
... fulcrum , we have , for the equilibrium of the lever , P. AC sin ( a - 0 ) = Q. BC . sin ( a + 0 ) , and therefore P ( tan a - tan 0 ) α Q { tan a + tan 0 ) , P - Q tan = • tana . P + Q This equation determines the value of 0 , and ...
... fulcrum , we have , for the equilibrium of the lever , P. AC sin ( a - 0 ) = Q. BC . sin ( a + 0 ) , and therefore P ( tan a - tan 0 ) α Q { tan a + tan 0 ) , P - Q tan = • tana . P + Q This equation determines the value of 0 , and ...
Page 45
... fulcrum ? The required weight must be equal to half that of the rod . ( 12 ) It is observed that a beam AB , the length of which is 12 feet , will balance at a point 2 feet from the end A ; but , when a weight of 100lbs . is hung from ...
... fulcrum ? The required weight must be equal to half that of the rod . ( 12 ) It is observed that a beam AB , the length of which is 12 feet , will balance at a point 2 feet from the end A ; but , when a weight of 100lbs . is hung from ...
Other editions - View all
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
Popular passages
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.