A Collection of Problems in Illustration of the Principles of Elementary Mechanics |
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Page 44
... inches , rests on a fulcrum placed at the distance of 3 inches from one of its ends : find what weight must be suspended from that end to balance the longer arm . The required weight is equal to W. ( 10 ) A power P , acting vertically ...
... inches , rests on a fulcrum placed at the distance of 3 inches from one of its ends : find what weight must be suspended from that end to balance the longer arm . The required weight is equal to W. ( 10 ) A power P , acting vertically ...
Page 45
... inches long , placed between two pegs at A and B , 4 inches apart , so as to be kept horizontal by means of them and a weight of 10lbs . hang- ing at C : find the pressures on the pegs . The pressure on the pegs A , B , are respectively ...
... inches long , placed between two pegs at A and B , 4 inches apart , so as to be kept horizontal by means of them and a weight of 10lbs . hang- ing at C : find the pressures on the pegs . The pressure on the pegs A , B , are respectively ...
Page 46
... inches and the other 9 inches in length : by always putting the weight into the scale with the shorter arm , how much does the shop - keeper gain in every cwt . ? He gains one twentieth of a hundred - weight . ( 20 ) An isosceles ...
... inches and the other 9 inches in length : by always putting the weight into the scale with the shorter arm , how much does the shop - keeper gain in every cwt . ? He gains one twentieth of a hundred - weight . ( 20 ) An isosceles ...
Page 47
... inch , find the lengths of the arms . The lengths of the arms in inches are √5 and √5 . ( 25 ) One end of a uniform beam is placed on the ground against a fixed obstacle , and to the other is attached a string , which runs in a ...
... inch , find the lengths of the arms . The lengths of the arms in inches are √5 and √5 . ( 25 ) One end of a uniform beam is placed on the ground against a fixed obstacle , and to the other is attached a string , which runs in a ...
Page 51
... inches distant from one extremity ; and from the end nearest to the fulcrum a weight of 16 pounds is suspended : find where a weight of 6 pounds must be suspended in order to produce equilibrium . The weight must be suspended from the ...
... inches distant from one extremity ; and from the end nearest to the fulcrum a weight of 16 pounds is suspended : find where a weight of 6 pounds must be suspended in order to produce equilibrium . The weight must be suspended from the ...
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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
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.