A Treatise on Analytical Statics: The parallelogram of forces. Forces acting at a point. Parallel forces. Forces in two dimensions. On friction. The principle of work. Forces in three dimensions. Graphical statics. Centre of gravity. On strings. The machinesUniversity Press, 1891 |
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عبارات ومصطلحات مألوفة
A₁ angle of friction axes begin to move body catenary centre of gravity circle coefficient of friction Coll components conditions of equilibrium cone coordinates corners curvature curve cylinder cylindroid differential calculus direction directrix displacement distance elastic string equal and opposite equations equations of equilibrium equivalent extremities figure fixed in space fixed point forces acting forces P₁ forces which act funicular polygon Hence hinged horizontal plane hyperbola inclination intersection latus rectum length line of action locus magnitude Math middle point normal parabola parallel forces particle pegs perpendicular point of application position of equilibrium pressure prove pulley quadrilateral radius ratio reactions represented resolved rest right angles rotation rough round screw Show sides smooth sphere straight line suppose surface taking moments tangent tension tetrahedron theorem triangle Tripos vertex virtual weight wrench zero
مقاطع مشهورة
الصفحة 8 - Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it may be compelled by impressed forces to change that state.
الصفحة 376 - The efficiency of a machine is the ratio of the useful work done by it to the total work done by the acting force, a.
الصفحة 8 - To every action there is always an equal and contrary reaction; or, the mutual actions of any two bodies are always equal and oppositely directed in the same straight line.
الصفحة 220 - If three forces acting on a particle keep it in equilibrium, each is proportional to the sine of the angle between the other two.
الصفحة 394 - In the system of pulleys, in which each pulley hangs by a separate string with one end attached to a fixed beam, there are n moveable pulleys of equal weight w.
الصفحة 291 - ... is the length of the path described by the centre of gravity of the area.
الصفحة 379 - The limbs of animals are generally levers of this description. The socket of the bone, a, Fig.
الصفحة 33 - Show that the area of the triangle whose vertices are (4, 6), (2, —4), (—4, 2) is four times the area of the triangle formed by joining the middle points of the sides.
الصفحة 53 - A heavy equilateral triangle hung up on a smooth peg by a string, the ends of which are attached to two of its angular points, rests with one of its sides vertical — shew that the length of the string is double the altitude of the triangle.
الصفحة 282 - The straight lines which join the middle points of opposite edges of a tetrahedron are concurrent.