A Collection of Problems in Illustration of the Principles of Elementary Mechanics |
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Page 51
... cylinder 2 feet long , weighing 2 pounds , turns about a fulcrum 4 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 ...
... cylinder 2 feet long , weighing 2 pounds , turns about a fulcrum 4 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 ...
Page 55
... cylinder of uniform density , 10 feet long , is kept in equilibrium round a fulcrum by means of a pound weight sus- pended from one end ; find the position of the fulcrum and the weight of the cylinder , when the pressure on the fulcrum ...
... cylinder of uniform density , 10 feet long , is kept in equilibrium round a fulcrum by means of a pound weight sus- pended from one end ; find the position of the fulcrum and the weight of the cylinder , when the pressure on the fulcrum ...
Page 72
... cylinders of the same height h , the radii of which are equal to " , " , " , ... r , respectively , stand upon one another with their axes in the same straight line ; prove that , if x be the distance of their common centre of gravity ...
... cylinders of the same height h , the radii of which are equal to " , " , " , ... r , respectively , stand upon one another with their axes in the same straight line ; prove that , if x be the distance of their common centre of gravity ...
Page 91
... cylinder A upon the cylinder B , exerted upon the latter cylinder by each of the two rectilinear portions of the string . Let r , s , be the radii of A , B , respec- tively , and let ACH = 0 . Then , for the equilibrium of the cylinder ...
... cylinder A upon the cylinder B , exerted upon the latter cylinder by each of the two rectilinear portions of the string . Let r , s , be the radii of A , B , respec- tively , and let ACH = 0 . Then , for the equilibrium of the cylinder ...
Page 92
... cylinders . The forces acting upon each cylinder are exhibited in diagram ( 84 ) . The two forces T , T , which act upon the higher cylinder , may be replaced by a vertical force 2Tcos 30 ° , acting downwards in the line of W's action ...
... cylinders . The forces acting upon each cylinder are exhibited in diagram ( 84 ) . The two forces T , T , which act upon the higher cylinder , may be replaced by a vertical force 2Tcos 30 ° , acting downwards in the line of W's action ...
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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.