A Collection of Problems in Illustration of the Principles of Elementary Mechanics |
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Page 45
... 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 the end B , it balances at a point 2 feet from that end : find the weight of the beam . The required ...
... 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 the end B , it balances at a point 2 feet from that end : find the weight of the beam . The required ...
Page 47
... beam being thus held at rest at an in- clination of 45 ° to the horizon : prove that , if the string were attached to the centre instead of the end of the beam , and passed over the same fixed point , a weight , at the end of the string ...
... beam being thus held at rest at an in- clination of 45 ° to the horizon : prove that , if the string were attached to the centre instead of the end of the beam , and passed over the same fixed point , a weight , at the end of the string ...
Page 86
... beam ; let AO , BO , be the direc- tions of the reactions of the horizontal plane and vertical wall CX , CY . Join GO , G being the middle point of the beam . Then for equilibrium it is necessary that GO be a vertical line . 2 The ...
... beam ; let AO , BO , be the direc- tions of the reactions of the horizontal plane and vertical wall CX , CY . Join GO , G being the middle point of the beam . Then for equilibrium it is necessary that GO be a vertical line . 2 The ...
Page 88
... beam is hung from a fixed point by two unequal strings attached to its extremities : compare the tension of each string with the weight of the beam . If a , b , represent the lengths of the strings , P , Q , their re- spective tensions ...
... beam is hung from a fixed point by two unequal strings attached to its extremities : compare the tension of each string with the weight of the beam . If a , b , represent the lengths of the strings , P , Q , their re- spective tensions ...
Page 89
... beam and the strings , when the system is in equilibrium . If P , Q , be the two unequal weights , W the weight of the beam and c its length , the two other sides of the triangle are equal to Pc Qc ( 2P2 + 2 Q * − W2 ) 1 ' ( 2 P2 + 2 ...
... beam and the strings , when the system is in equilibrium . If P , Q , be the two unequal weights , W the weight of the beam and c its length , the two other sides of the triangle are equal to Pc Qc ( 2P2 + 2 Q * − W2 ) 1 ' ( 2 P2 + 2 ...
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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...
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.