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The Principles Of Mechanics

The Principles Of Mechanics


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Purchase of this book includes free trial access to www.million-books.com where you can read more than a million books for free. This is an OCR edition with typos. Excerpt from book: SECT. II. The laws of gravity, the defcent of heavy Bodies, and the motion of projeEiileSy in free fpace. PROP. XII. The fame quantity of force is requifite to keep a body in any uniform motion, direftly upwards, as is required to keep it fufpended, or at reft. And if a body defcends uniformly, the fame force that is fufficient to hinder its acceleration in defending, is equal to the weight of it. For the force of gravity will aft equally on the body in any ftate whether of motion or reft. Therefore if a body is projected directly upwards or downwards with any degree of velocity ; it would for ever retain its velocity if it were not for the force of gravity that draws it down, by ax i. If therefore a force equal to its gravity were apply'd directly upwards ; then (by ax 9.) thefe two forces deftroy each others effects; and it is the fame thing as if the body was acted on by no force at all. And therefore (by ax i.) it would retain its uniform motion. Cor. But if a body be moved upwards with an accelerated motion; the force to caufe that motion will be greater than its weight; and that in proportion to its acceleration (by ax. i0.) PROP. XIII. The velocities of falling bodies are as the times of their falling from reft. For by poftulate 3. The body is uniformly acted on by gravity, which is its accelerating force downwards ; therefore by Cor. 3. Prop. V. the velocity is as the force and time directly, and the matter reciprocally. But by ax 5. the force of gravity F r c. is as the quantity of matter ; and confequently, the velocity wifl 'be as the time. Cor. i. All bodies fatting by their own weight, gain equal velocities in equal times. Cor. 2. Whatever velocity a falling body gains in any time ; if it be thrown direcily upwards, it ....


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Product Details
  • ISBN-13: 9780548184967
  • Publisher: Kessinger Publishing
  • Publisher Imprint: Kessinger Publishing
  • Height: 229 mm
  • No of Pages: 416
  • Series Title: English
  • Weight: 825 gr
  • ISBN-10: 0548184968
  • Publisher Date: 25 Jul 2007
  • Binding: Hardback
  • Language: English
  • Returnable: N
  • Spine Width: 27 mm
  • Width: 152 mm


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