The Elements of Analytical Mechanics

Εξώφυλλο
Wiley, 1882 - 249 σελίδες
 

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Σελίδα 67 - If three forces, acting at a point, be represented in magnitude and direction by the sides of a triangle taken in order, they will be in equilibrium.
Σελίδα 179 - Remembering that the resistance of the air varies as the square of the velocity, it might easily be shown that the strength should be at least eight times, instead of twice, as great. Passing to the question of power. The soaring of birds is a most important fact, of which no one who has taken the trouble to make observations has any doubt. Though it was lately the subject of a...
Σελίδα 63 - Every body continues in its state of rest, or of uniform motion in a straight line, unless it is compelled to change that state by forces impressed upon it.
Σελίδα 220 - Pendulum vibrating Seconds of Mean Time in the Latitude of London in a Vacuum at the Level of the Sea...
Σελίδα 63 - Change of motion is proportional to the force impressed, and is in the direction of the line in which the force acts.
Σελίδα 165 - The moment of inertia of a body is the sum of the products obtained by multiplying each element of the body by the square of its distance from an axis. LANZA.— The moment of inertia...
Σελίδα 189 - The radius vector (line joining the centre of the sun with the centre of the planet) of each planet sweeps over equal areas in equal times. 3. The squares of the periodic times (the periods of complete revolution round the sun) of two planets are proportional to the cubes of their mean distances from the sun.
Σελίδα 187 - A particle in projected from a given point in a. given direction with a given velocity, and moves under the action of a force which varies inversely as the square of the distance from the centre ; required the orbit.
Σελίδα 40 - ... r distant ; find the time that it would take a body to fall from the moon to the earth, and the velocity, at the earth's surface, of a body falling from the sun. The attraction of the moon and sun, and the resistance of any medium, are not to be considered.
Σελίδα 170 - Iyl will be a minimum, and the reverse ; hence there is always a pair of rectangular axes in reference to one of which the moment of inertia is greater than for any other axis, and for the other it is less. These are called principal axes. Thus, in the case of a rectangle, if the axes are parallel to the sides and pass through the centre, we find...

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