The Elements of Analytic Mechanics: Solids & Fluids |
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Common terms and phrases
acceleration according acting action angle angular velocity applied attraction axes axis base becomes body called centre of gravity component considered constant coördinates curve density determined direction directly distance earth effect element energy equal equation equilibrium example expression feet fixed flow fluid force friction given gives head hence horizontal impact impulse inertia initial integrating intensity length liquid mass measure moment moments momentum motion move Multiply normal opposite orifice origin parallel particle passing path perpendicular plane position pounds preceding pressure principal problem produce quantity radius reduced reference represent resistance respectively rest resultant rotation similarly space sphere square stream stress string substituted Suppose surface Take tangential tension tion uniform unit varies vertical vessel volume weight wheel zero
Popular passages
Page 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.
Page 220 - Pendulum vibrating Seconds of Mean Time in the Latitude of London in a Vacuum at the Level of the Sea...
Page 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...
Page 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.
Page 267 - Newton generalized the law of attraction into a statement that every particle of matter in the universe attracts every other particle with a force which varies directly as the product of their masses and inversely as the square of the distance between them; and he thence deduced the law of attraction for spherical shells of constant density.
Page 63 - Change of motion is proportional to the force impressed, and is in the direction of the line in which the force acts.
Page 96 - The distance of the centre of gravity of a circular arc from the centre of the circle is a fourth proportional to the length of the arc, the radius of the circle, and the chord of the arc.
Page 65 - If two forces acting at a point be represented in magnitude and direction by the adjacent sides of a parallelogram, the resultant...
Page 165 - The moment of inertia of an area with respect to an axis is the sum of the products obtained by multiplying each element of the area dA by the square of its distance from the axis y; it is therefore the quantity fdA • y2.
Page 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.