A Collection of Problems in Illustration of the Principles of Elementary Mechanics |
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Results 1-5 of 17
Page 47
... ground against a fixed obstacle , and to the other is attached a string , which runs in a horizontal direction to a fixed point vertically above the obstacle , and , passing freely over it , sustains a weight Wat its extremity , the ...
... ground against a fixed obstacle , and to the other is attached a string , which runs in a horizontal direction to a fixed point vertically above the obstacle , and , passing freely over it , sustains a weight Wat its extremity , the ...
Page 70
... ground , when he stands with his legs in contact , above its altitude , when he stands with his legs asunder , varies as the square of the sine of a quarter of the angle between his legs . ( 21 ) A beetle crawls from one end A to the ...
... ground , when he stands with his legs in contact , above its altitude , when he stands with his legs asunder , varies as the square of the sine of a quarter of the angle between his legs . ( 21 ) A beetle crawls from one end A to the ...
Page 121
... that the effect of the rope to break the tree about C may be the greatest possible . The rope must be inclined to the ground at an angle of 45o . W. S. 16 ( 8 ) A weight is placed upon a smooth MISCELLANEOUS PROBLEMS . 121.
... that the effect of the rope to break the tree about C may be the greatest possible . The rope must be inclined to the ground at an angle of 45o . W. S. 16 ( 8 ) A weight is placed upon a smooth MISCELLANEOUS PROBLEMS . 121.
Page 128
... ground , is observed to pass throughths of its original height in the last second : find the height . 9 = Let h the original height , and t = the whole time of the descent : then 2h t t - 1 = 9 9g and therefore 2h 9 - 1 / 2h ) * 128 ...
... ground , is observed to pass throughths of its original height in the last second : find the height . 9 = Let h the original height , and t = the whole time of the descent : then 2h t t - 1 = 9 9g and therefore 2h 9 - 1 / 2h ) * 128 ...
Page 141
... ground , prove that , at the time T 4 sin2 a " the angle , which the direction of motion makes with the direction of projection , is equal to - α . 2 ( 15 ) A stone , thrown at an elevation of 45 ° from the top of a tower , fell in 4 ...
... ground , prove that , at the time T 4 sin2 a " the angle , which the direction of motion makes with the direction of projection , is equal to - α . 2 ( 15 ) A stone , thrown at an elevation of 45 ° from the top of a tower , fell in 4 ...
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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...
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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.