The Essential Elements of Practical Mechanics; Based on the Principle of Work Designed for Engineering Students

The Essential Elements of Practical Mechanics; Based on the Principle of Work Designed for Engineering Students

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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. 1892 edition. Excerpt: ...as O r 8 a the forces represented by the sides are called the component forces, while the force represented by the diagonal is denominated the resultant. Another experiment may be instituted to determine the intensity of forces by this simple apparatus. Instead of three forces being applied to the board, let there be any number; and suppose H to be any point taken in the movable plane PQR, and from H let fall perpendiculars, Hn, Hin, H/, &c., in the directions, or directions produced, of the forces; then the units of length, taken from any scale of equal parts, multiplied by the pounds in the corresponding force, will be what is termed the moment of that force tending to turn the board or movable plane upon the point H. This being done, the principle denominated the principle of the equality of moments may be verified by experiment. Here but three forces are applied, but any given number may be introduced; in the present case, H/x Bibs.+ Hm x C lbs. = H n A lbs. The student must not confound the principle of the equality of moments, just defined, with the intensity of forces usually considered by examining the motions they produce, or the spaces passed over when the motions are uniiormly accelerated. It has been before shown that, generally, W v (Force) =-(I.); being an extremely small portion of time, denominated an element, during which the velocity v is generated. The above formula shows that if, by observing the laws of motion, we know for each instant the value of the ratio, we shall then have that of the corresponding effort designated (Force) in the above formula. Suppose we know, from experiment, that the motion is uniformly accelerated, we have, for the space S, S=VlXT-. V v In which V, = = as in (I.);. W 2S-. (Force) =---, flL)...show more

Product details

  • Paperback | 68 pages
  • 189 x 246 x 4mm | 141g
  • Rarebooksclub.com
  • Miami Fl, United States
  • English
  • black & white illustrations
  • 1236558189
  • 9781236558183