A Collection of Problems in Illustration of the Principles of Elementary Mechanics |
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Page 4
... meet in T , and draw OE , OF , parallel to DC , AB , respectively . L L The angle OBE is equal to AOB + BAO , and there- fore to DOC + ‹ BAC , and therefore to DOC + ¿ BDC , or to DOC + CDO , and therefore to OCF Also BEO = CFO . Hence ...
... meet in T , and draw OE , OF , parallel to DC , AB , respectively . L L The angle OBE is equal to AOB + BAO , and there- fore to DOC + ‹ BAC , and therefore to DOC + ¿ BDC , or to DOC + CDO , and therefore to OCF Also BEO = CFO . Hence ...
Page 22
... meet the circle in F and join BF . Complete the parallelogram BFOK . Then the force KO is equivalent to forces BO , KB , applied at O , that is , to forces BO , OF , that is , to the two forces BO , CO . Let E be the intersection of the ...
... meet the circle in F and join BF . Complete the parallelogram BFOK . Then the force KO is equivalent to forces BO , KB , applied at O , that is , to forces BO , OF , that is , to the two forces BO , CO . Let E be the intersection of the ...
Page 27
... meet the horizontal line AB in H. Let W the given weight , and T = the tension of the string . Let ACH = 0 , BCH 4. Then , since the = = SECT . 2. Components along two lines at right angles FORCES ACTING ON A POINT . 27.
... meet the horizontal line AB in H. Let W the given weight , and T = the tension of the string . Let ACH = 0 , BCH 4. Then , since the = = SECT . 2. Components along two lines at right angles FORCES ACTING ON A POINT . 27.
Page 76
... meet the horizontal line through A in the point D : let L'ADB = 0 . Then , from the triangles BAH , CAH , we have BH sin BAH AH cos ( B + 0 ) = sin B sin B 9 and CH 2 sin CAH cos ( C - 0 76 CENTRE OF GRAVITY . Body supported at a point.
... meet the horizontal line through A in the point D : let L'ADB = 0 . Then , from the triangles BAH , CAH , we have BH sin BAH AH cos ( B + 0 ) = sin B sin B 9 and CH 2 sin CAH cos ( C - 0 76 CENTRE OF GRAVITY . Body supported at a point.
Page 80
... meet GO , drawn vertically through the middle point G of the rod , and join AO : produce OG to meet AC in H. Then the weight of the rod , supposed to be collected at G , the reaction of the wall , and the pressure exerted on the rod at ...
... meet GO , drawn vertically through the middle point G of the rod , and join AO : produce OG to meet AC in H. Then the weight of the rod , supposed to be collected at G , the reaction of the wall , and the pressure exerted on the rod at ...
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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...
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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.