A treatise on statics |
Frases i termes més freqüents
angle of friction attraction axes axis bars beam catenary centre of gravity circle co-ordinates coefficient of friction components condition cone constant couple curve cylinder denote density distance ds ds ellipse ellipsoid equal and opposite equation of virtual evidently example extremity find the centre find the position fixed point forces acting frustum Hence horizontal plane inclined plane integral intersection joint length m₁ magnitude and direction middle point motion normal P₁ P₂ parabola particle passes perpendicular polygon portion position of equilibrium potential proportional pulley quantity radius reaction rest right line rigid body rotation rough round sides sphere string suppose surface system of forces tangent tension Theorem three forces tion total resistance triangle uniform vertex vertical plane virtual displacement weight zero ΣΧ
Passatges populars
Pàgina 89 - Prove that the algebraic sum of the moments of two concurrent forces about any point in their plane is equal to the moment of their resultant about the same point.
Pàgina 403 - that every particle of matter in the universe attracts every other particle, with a force whose direction is that of the line joining the two, and whose magnitude is directly as the product of their masses, and inversely as the square of their distances from each other.
Pàgina 8 - R acting along 00' can be replaced by the two forces P and Q, represented in magnitude and direction by two adjacent sides of a parallelogram of which Off is the diagonal.
Pàgina 236 - Hence show that the lines joining the middle points of the opposite sides of a quadrilateral bisect each other.
Pàgina 420 - Then the lines of force are obviously right lines drawn from its centre ; the tubes are therefore cones whose vertices are the centre, and since the normal sections of these cones are directly as the squares of their distances from the centre, the attraction of the sphere at any external point is inversely proportional to the square of its distance from the centre. Again, let the attracting body be an infinite cylinder whose density is the same at the same distance from its axis. Here the lines of...
Pàgina 272 - Again, if the arc of any plane curve revolve through any angle round a line in its plane, the area of the surface generated is equal to the length of the revolving arc multiplied by the length of the path described by its centroid.
Pàgina 333 - The tension at any point of the catenary is equal to the weight of a portion of the string whose length is equal to the ordinate of the point.
Pàgina 1 - DEFINITION IV An impressed force is an action exerted upon a body, in order to change its state, either of rest, or of uniform motion in a right line.
Pàgina 43 - Q (fig. 47), rest on a smooth double-inclined plane, and are attached to the extremities of a string which passes over a smooth peg, 0, at a point vertically over the intersection of the planes, the peg and the weights being in a vertical plane. Find the position of equilibrium.
Pàgina 120 - R are in equilibrium, each must be equal and opposite to the resultant of the other two.