An Elementary Treatise on Mechanics for the Use of the Junior Classes at the University...: With a Collection of ExamplesMacmillan, 1863 - 374 من الصفحات |
طبعات أخرى - عرض جميع المقتطفات
عبارات ومصطلحات مألوفة
a₁ accelerating force angular points applied axis balance ball bisects body or system centre of gravity circle coefficient of friction conditions of equilibrium cos² curve cycloid cylinder diagonal distance elastic equal particles equation equi find the centre fixed point forces acting fulcrum geometrical given heavy particles Hence horizontal plane impact inclined plane latus rectum length lever librium magnitude and direction mass middle point moving parabola parallel parallelogram parallelogram of forces parallelopiped Pcos perpendicular point of application polygon position of equilibrium pressure prove pully radius represented resolved rest resultant right angles rough shew sides similar triangles sliding smooth space sphere straight line string passes suppose surface system of forces system of particles t₁ tangent tension three forces triangle uniform vertex vertical plane virtual velocity W's virtual weight
مقاطع مشهورة
الصفحة 15 - We proceed to establish an important theorem which enables us to determine the resultant of any two forces acting at a point. The theorem is called the Parallelogram of Forces, and may be thus enunciated. If two forces acting at a point be represented in magnitude and direction by two straight lines drawn from that point, and if a parallelogram be constructed having these two lines for adjacent sides, then that diagonal of the parallelogram which passes through the point of application of the forces...
الصفحة 19 - If three forces acting at a point can be represented in magnitude and direction by the sides of a triangle taken in order, they will be in equilibrium.
الصفحة 115 - The substance to be weighed is placed in one scale-pan, and weights of known magnitude are placed in the other till the beam remains in equilibrium in a perfectly horizontal position, in which case the weight of the substance is indicated by the weights which balance it.
الصفحة 355 - If V, V, V", be the velocities at three points P, Q, R, of the path of a projectile, where the inclinations to the horizon are a, a — /3, a — 2/3, and if t, t...
الصفحة 326 - A person travelling eastward at the rate of 4 miles per hour, finds that the wind seems to blow directly from the north; on doubling his speed it appears to come from the north-east; find the direction of the wind and its velocity.
الصفحة 274 - A uniform ladder, 10 feet long, rests with one end against a smooth vertical wall and the other on the ground, the coefficient of friction between the ladder and the ground being J.
الصفحة 311 - 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 258 - A smooth circular ring is fixed in a horizontal position, and a small ring sliding upon it is in equilibrium when acted on by two strings in the direction of the chords PA, PB ; shew that, if PC be a diameter of the circle, the tensions of the strings are in the ratio of BC to AC.
الصفحة 267 - One end of a string is fixed to the extremity of a smooth uniform rod, and the other to a ring without weight which passes over the rod, and the string is hung over a smooth peg. Determine the least length of the string for which equilibrium is possible, and shew that the inclination of the rod to the vertical cannot be less than 45°.
الصفحة 92 - When a body is suspended from a point, it will rest with its centre of gravity in the vertical line passing through the point of suspension.