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The Elements of Applied Mathematics Including Kinetics, Statics, and Hydrostatics

The Elements of Applied Mathematics Including Kinetics, Statics, and Hydrostatics


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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. 1894 edition. Excerpt: ...I. let the body be displaced from the top to the bottom of the plane, then R does no work, and the total work done by W and by P must be zero, Art. 157, hence since the forces are in equilibrium WxAC-PxBC = 0. In Case II. take the same displacement, then similarly WxAC-PxAB = 0. Ex. 1. Find the weight which a force of 10 lbs. acting horizontally can support on an inclined plane whose height is 2 feet and base 13 feet., W base WehaVe P=helght' or W= 10 x Y=65 lbs. weight. Ex. 2. What is the inclination of the plane to the horizon on which a horizontal force of s/3 lbs. can support a weight of 3 lbs.? height _ P_V3_ 1 base W 3 %' Thus the required angle is 30. Ex. 3. An inclined plane rises 2 in 5, what force acting along the plane will sustain a weight of 200 lbs.? Here i= 200 x f=80 lbs. weight. EXAMPLES. XL. 1. A weight of 8 lbs. is supported on an inclined plane by a horizontal force of 6 lbs. weight, if the length of the plane is 20 feet, what is its height 1 2. A truck whose weight is 3 tons is kept at rest by a rope on a gradient of 1 in 60, find the tension of the rope. 3. What force acting horizontally could keep a weight of 12 lbs. at rest on a smooth inclined plane whose height is 3 feet and base 4 feet, and what is the pressure on the plane 1 4. What horizontal force will keep in equilibrium a weight of 9 lbs. on an inclined plane and produce a pressure of 15 lbs. weight on the plane 1 5. If the length of the plane is 40 inches and the height 8 inches, what is the mechanical advantage in the two cases? 6. In the case when the applied force acts horizontally the plane is turned over so that the height becomes the base, show that the force required to support a given weight will be greater if the original base exceeded the...


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Product Details
  • ISBN-13: 9781151843838
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 98
  • Spine Width: 5 mm
  • Width: 189 mm
  • ISBN-10: 1151843830
  • Publisher Date: 01 Jul 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 191 gr


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