A Collection of Problems in Illustration of the Principles of Elementary Mechanics |
From inside the book
Results 1-5 of 28
Page 1
... square on OC must be equal to the square on OA together with that on AC : hence , by Euclid , the angle OAC , and therefore the angle AOB , that is , the angle between the two forces , must be a right angle . ( 2 ) If the angle between ...
... square on OC must be equal to the square on OA together with that on AC : hence , by Euclid , the angle OAC , and therefore the angle AOB , that is , the angle between the two forces , must be a right angle . ( 2 ) If the angle between ...
Page 24
... square root of P2 + Q2 + R2 + 2 QR cos ( B - y ) + 2RP cos ( y - a ) + 2PQ cos ( a − B ) . ( 3 ) Three forces , each equal to P , act on a point O , in directions OA , OB , OC ; the angle AOC being a right angle , and the line OB ...
... square root of P2 + Q2 + R2 + 2 QR cos ( B - y ) + 2RP cos ( y - a ) + 2PQ cos ( a − B ) . ( 3 ) Three forces , each equal to P , act on a point O , in directions OA , OB , OC ; the angle AOC being a right angle , and the line OB ...
Page 26
... square , the lines AB and CD being horizontal : a fine string AEB hangs over the higher tacks , its lowest point E being at the centre of the square : another fine string PDECP , with equal weights P , P , at its ends , hangs over the ...
... square , the lines AB and CD being horizontal : a fine string AEB hangs over the higher tacks , its lowest point E being at the centre of the square : another fine string PDECP , with equal weights P , P , at its ends , hangs over the ...
Page 28
... square , the lines AB and CD being horizo AEB hangs over the higher tacks , its lowest the centre of the square : another fine string l weights P , P , at its ends , hangs over the for the lower tacks : to find the tension of the ...
... square , the lines AB and CD being horizo AEB hangs over the higher tacks , its lowest the centre of the square : another fine string l weights P , P , at its ends , hangs over the for the lower tacks : to find the tension of the ...
Page 29
... square  ̧‚ ̧ : draw CM , OM , parallel to  ̧ ,  ̧ ‚ to intersect in M : let CM = x , OM = y . Let 1 2 3 OA1 = c1 , OA2 = C2 , OA ̧ = C3 , OA ̧ = c , and let 2a represent the length of a side of the square . 19 For the ...
... square  ̧‚ ̧ : draw CM , OM , parallel to  ̧ ,  ̧ ‚ to intersect in M : let CM = x , OM = y . Let 1 2 3 OA1 = c1 , OA2 = C2 , OA ̧ = C3 , OA ̧ = c , and let 2a represent the length of a side of the square . 19 For the ...
Other editions - View all
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.