A Manual of the Mechanics of Engineering and of the Construction of Machines; Theorectical Machines

A Manual of the Mechanics of Engineering and of the Construction of Machines; Theorectical Machines

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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. 1870 edition. Excerpt: ...S a perpendicular 8 A upon the direction of the force and continue it in the other direction until the prolongation S B is equal to the perpendicular S A, and let us suppose that two forces + j P and-J P, which balance each other and are parallel to P, are applied at B. The force + A P combines with half the force P acting in A and gives rise to the resultant P, = i P +-i P = P applied at the centre of gravity, while, on the contrary, the force--i P forms "with the other half (j P) of the force P applied in A a couple; hence the force P, applied eccentrically, is equivalent to a force P, = P, which is applied at the centre of gravity, and which moves this point and with it the body, and to a couple Q P, --i P), which causes the body to turn around its centre of gravity S without producing a pressure upon it The statical moment of this couple is Fig. 467. = P.8A + iP.SB=P.SA=Pa, or equal to the statical moment of the force P applied in A in reference to the centre of gravity 8', the resulting rotation would therefore be the same if the centre of gravity 8 were fixed and P alone were acting. If a body A B, Fig. 407, is compelled, by means of guides D E, Z), to assume a motion of translation, the eccentric force A P = P produces the same effect upon the motion of the body as an equal force acting at the centre of gravity, and the couple P, --P) is counteracted by the guides. If a is the eccentricity 8 A of the force P, or the distance of its direction from the centre of gravity S of the body, and if b denotes the distance IIK Fig. 408. between the perpendiculars to the guides at the diagonally opposite points.Fand G and (N, --N) the couple, with which the body acts on the guides, we have, by equating the moment of the couples...show more

Product details

  • Paperback | 262 pages
  • 189 x 246 x 14mm | 472g
  • Rarebooksclub.com
  • Miami Fl, United States
  • English
  • Illustrations, black and white
  • 1236516567
  • 9781236516565