A Treatise on Statics: Containing the Fundamental Principles of Electrostatics and Elasticity |
Other editions - View all
Common terms and phrases
angle of friction attraction axes axis beam centre of gravity centre of mass centroid circle cloth co-ordinates coefficient of friction components cone constant couple curve cylinder denote density distance dx dy dy dz Edition element element plane ellipse ellipsoid elongation equation of virtual example Extra fcap extremity forces acting funicular given Hence inclined plane integral internal forces intersection length line of action m₁ middle point motion normal P₁ P₂ parallel particle perpendicular polygon portion position of equilibrium potential pressure quadric radius rectangular resultant right line rigid body rope rotation rough round shearing shearing stress sides smooth sphere strain stress string suppose surface system of forces T₁ tangent tension Theorem three forces total resistance triangle uniform vertex vertical plane virtual displacement weight zero
Popular passages
Page 400 - 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.
Page 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. This force consists in the action only, and remains no longer in the body when the action is over. For a body maintains every new state it acquires, by its inertia only.
Page 28 - Crown 8vo. cloth, 7s. 6d. A Treatise on Electricity and Magnetism. By J. Clerk Maxwell, MA, FRS, Professor of Experimental Physics in the University of Cambridge.
Page 251 - Hence show that the lines joining the middle points of the opposite sides of a quadrilateral bisect each other.
Page 94 - 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.
Page 32 - Crown 8vo. paper covers, 3*. 6d. - The Book of Tobit. A Chaldee Text, from a unique MS. in the Bodleian Library ; with other Rabbinical Texts, English Translations, and the ítala. Edited by Ad. Neubauer, MA 1878.
Page 107 - COR. 1. Whatever be the path described by the pole, the point of intersection of the extreme sides of the funicular describes a fixed right line. This is the line of action of the resultant of the given system of forces. COR. 2. The point of intersection of any two sides of a funicular describes a fixed right line, when the pole varies in any manner. Thus the sides /i/2 and/4/5 will always intersect on the line of action of the resultant of the forces P2, P3, P4.
Page 9 - 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. Since an infinite number of parallelograms, of each of which OO...
Page 340 - 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.
Page 250 - Prove that the centre of mass of a system of uniform bars forming a triangle is the centre of the circle inscribed in the triangle formed by the middle points of the bars.