A Collection of Problems in Illustration of the Principles of Elementary Mechanics |
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Page 125
... velocity of the extremity of the shadow of the longer : to find also the mean velocity of the extremity of the shadow of the shorter , during the last hour in which it is burning . Let AB , A'B ' , fig . ( 103 ) , be the candlesticks ...
... velocity of the extremity of the shadow of the longer : to find also the mean velocity of the extremity of the shadow of the shorter , during the last hour in which it is burning . Let AB , A'B ' , fig . ( 103 ) , be the candlesticks ...
Page 126
... velocity is therefore , during the last hour , 2 feet per hour . Again , the equation ( 4 ) shews that the extremity of the shadow of the longer candle has a uniform velocity of 8 inches per hour . ( 2 ) One body moves through 40 feet ...
... velocity is therefore , during the last hour , 2 feet per hour . Again , the equation ( 4 ) shews that the extremity of the shadow of the longer candle has a uniform velocity of 8 inches per hour . ( 2 ) One body moves through 40 feet ...
Page 127
... velocity . The wind blows from the north - west with a velocity of 4√2 miles an hour . ( 5 ) Two bodies move uniformly along two straight lines from their point of intersection , their velocities being inversely proportional to their ...
... velocity . The wind blows from the north - west with a velocity of 4√2 miles an hour . ( 5 ) Two bodies move uniformly along two straight lines from their point of intersection , their velocities being inversely proportional to their ...
Page 128
... velocity acquired in one second , is equal to 32.2 feet : hence the space which would be described in one second , with the velocity acquired in half a second , is equal to 16.1 feet , and therefore the space which would be described in ...
... velocity acquired in one second , is equal to 32.2 feet : hence the space which would be described in one second , with the velocity acquired in half a second , is equal to 16.1 feet , and therefore the space which would be described in ...
Page 129
... velocity of the body at the beginning of the two seconds during which its motion is observed : then , by the formula for falling bodies , s = Vt + ge2 , putting t = 1 , Vu , and s = 144.9 , we have 144 · 9 = u + g ( 1 ) . Again , at the ...
... velocity of the body at the beginning of the two seconds during which its motion is observed : then , by the formula for falling bodies , s = Vt + ge2 , putting t = 1 , Vu , and s = 144.9 , we have 144 · 9 = u + g ( 1 ) . Again , at 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
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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...
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.