A Collection of Problems in Illustration of the Principles of Elementary Mechanics |
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Page 11
... highest and BC being horizontal : a string , the length of which is equal to four times a side of the triangle is ... POINT . 11.
... highest and BC being horizontal : a string , the length of which is equal to four times a side of the triangle is ... POINT . 11.
Page 27
... highest point O , fig . ( 26 ) , of a given sphere : a weight P is fixed to the lower end of the string : to find the pressure on the hemisphere and the tension of the string . Let OB be the arc touched by the string , and C the centre ...
... highest point O , fig . ( 26 ) , of a given sphere : a weight P is fixed to the lower end of the string : to find the pressure on the hemisphere and the tension of the string . Let OB be the arc touched by the string , and C the centre ...
Page 35
... highest tacks . The required vertical component is equal to half the weight of the bar . SECT . 3. Components along ... point O , may be balanced by a single force LO , L being the point of intersection of the per- pendiculars from the ...
... highest tacks . The required vertical component is equal to half the weight of the bar . SECT . 3. Components along ... point O , may be balanced by a single force LO , L being the point of intersection of the per- pendiculars from the ...
Page 75
... point of sliding , we know that tan a = μ . Again , if the triangle be at the same time on the point of rota- ting ... high the plane may be elevated before the triangle rolls . The greatest elevation is an angle of 60o . ( 5 ) If a ...
... point of sliding , we know that tan a = μ . Again , if the triangle be at the same time on the point of rota- ting ... high the plane may be elevated before the triangle rolls . The greatest elevation is an angle of 60o . ( 5 ) If a ...
Page 103
... highest point by means of two strings , each equal to the radius of the circle : each of the strings passes through another ring , the weight of which is double that of either of the others , and which hangs freely prove that , when ...
... highest point by means of two strings , each equal to the radius of the circle : each of the strings passes through another ring , the weight of which is double that of either of the others , and which hangs freely prove that , when ...
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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...
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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.