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First Lessons in Theoretical Mechanics

First Lessons in Theoretical Mechanics


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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1874 Excerpt: ...loses in each second a velocity of g feet a second. This will continue until it reaches its highest point, when its velocity is zero, and at once it begins to descend. The nine equations of Art. 89, therefore, apply to the case of bodies moving up or down in vacuo, if we write g (or approximately 32) for /; the first three having regard to a body which is merely allowed to fall, the next three to a body thrown downward with an initial velocity v, the last three to a body thrown upward with an initial velocity v. In all following examples g will be taken as equal to 32 unless the contrary is specified, and this, the student must remember, presupposes that the units employed are feet and seconds. It must be added that some forces, such as friction, act always as resistances, and their effect is to retard and never to accelerate motion. When such a force alone acts on a moving body, it will at length bring the body to rest, but will have no tendency to make the body move in the opposite direction to that of its previous motion. Ex. 106.--If a body were thrown downward with a velocity of 5 ft. a second, and moved for 3 sec. in vacuo, it would describe 159 ft., and would at the end of the 3 sec be moving at the rate of 101 ft. a second. Ex. 107.--If a body were allowed to-fall in vacuo, the spaces described in the 1st, 2nd, 3rd, 4th, &c, seconds of its motion would be 16, 48, 80, 112, &c, ft. Ex. 108.--If a body were thrown upward with a velocity of 256 ft. a second, and moved in vacuo, it would at the end of 3 sec. have reached a height of 624 ft., and would be moving at the rate of 160 ft. a second. If the question were asked, what would be the greatest height the body would attain? we may reason thus: --If v is the velocity which the body has when it h..


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Product Details
  • ISBN-13: 9781150216930
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 84
  • Spine Width: 4 mm
  • Width: 189 mm
  • ISBN-10: 115021693X
  • Publisher Date: 01 May 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 168 gr


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