The Elements of Statics and Dynamics

The Elements of Statics and Dynamics

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This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1902 edition. Excerpt: ...(though this is practically an impossible supposition), we should have A: O, and therefore 232. If the force of compression exerted by the wood on the wedge be great enough the force P may not be large enough to make the wedge on the point of motion down; in fact the wedge may be on the point of being forced out. If P1 be the value of P in this case, its value is found by changing the sign of p. in Art. 230, so that we should have therefore only be on the point of slipping out if a pull were applied to its upper surface. If %=)t, the wedge will just stick fast without the application of any force. Ex. Prove that the multiplication of force produced by a. screwpress, in which the distance between successive th: 1-ads is c and the power is applied at the extremities of a cross-bar of length 211, is the same as that produced by a. thin isosceles wedge of angle a. such that When we have a system of forces acting on a body in equilibrium and we suppose that the body undergoes a slight displacement, which is consistent with the geometrical conditions under which the system exists, and if a point Q of the body, with this imagined displacement, goes to Q', then QQ' is called the Virtual Velocity, or Displacement, of the point Q. The word Virtual is used to imply that the displacement is an imagined, and not an actual, displacement. 234. If a force R act at a point Q of the body and QQ' be the virtual displacement of Q and if Q'lV be the perpendicular from Q' on the direction of R, then the product R. QN is called the Virtual Work or Virtual Moment of the force R. As in Art. 195 this work is positive, or negative, according as QN is in the same direction as R, or in the opposite direction. 235. The virtual work of a force is...show more

Product details

  • Paperback | 124 pages
  • 189 x 246 x 7mm | 236g
  • Rarebooksclub.com
  • United States
  • English
  • black & white illustrations
  • 1236790081
  • 9781236790088