First Principles of Mechanics: With Historical and Practical Illustrations |
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The First Principles of Mechanics: With Historical and Practical ... William Whewell No preview available - 2017 |
The First Principles of Mechanics: With Historical and Practical ... William Whewell No preview available - 2017 |
Common terms and phrases
a₁ angle angular velocity axis beam body catenary center of force center of gravity chord circle co-ordinates compression couple curvature curve deflexion diameter direction distance dy dx elastic ellipse ellipsoid equal equation equilibrium finite fixed force F forces acting fulcrum given Hence hyperbola inclined plane inertia infinite integral last Article Law of Motion Lemma length lever limit magnitude moment of inertia momentum move P₁ parabola parallel to Ax parallelograms perpendicular pole portion position pressure PROB produce PROP proportional proposition pully quantity of matter radius ratio resolved resultant rotatory motion shewn similar triangles space described straight line string subtense suppose surface tangent tension triangles ultimately vertical weight whence y₁
Popular passages
Page 16 - ... the tendency away from the centre of the curvature, that when a bend has once commenced, it increases, and is soon followed by others, until that complete serpentine winding is produced, which characterizes most rivers in their course across extended plains. The water being thrown by any...
Page 2 - The resultant of two forces is represented in magnitude and direction by the diagonal of a parallelogram whose sides represent the magnitude and direction of these two forces* POISSON, Additions.
Page 64 - ... marble, 2200 feet in the side, through a space equal to its own height, or to pile one such mountain upon another. The Monte Nuovo, near Pozzuoli, (which was erupted in a single night by volcanic fire,) might have been raised by such an effort, from a depth of 40,000 feet, or about eight miles. (54 ) It will be observed, that, in the above statement, the inherent power of fuel is, of necessity, greatly under-rated. It is not pretended by engineers that the economy of fuel is yet pushed to its...
Page 63 - It is well known to modern engineers that there is virtue in a bushel of coals, properly consumed, to raise seventy millions of pounds weight a foot high. This is actually the average effect of an engine at this moment working in Cornwall. The ascent of Mont Blanc from...
Page 27 - To find the resultant of any number of parallel forces acting on a rigid body in one plane. Let , denote the forces.
Page 71 - ... experiment, we let the same ball descend through a fourth part only of the length of the groove, and found the measured time to be exactly half the former. Continuing our experiments with other portions of the length, comparing the fall through the whole with the fall through half, two-thirds, three-fourths, in short, with the fall through any part, we found, by many hundred experiments, that the spaces passed over were as the squares of the times, and that this was the case in all inclinations...
Page 59 - ... begins to descend with a given velocity. 15. Shew how to determine, from three observations, the direction in which a comet is moving, supposing the motion to be uniform and rectilinear.
Page 37 - There is an equilibrium upon the wheel and axle when the power is to the weight as the radius of the axle to the radius of the wheel.
Page 63 - The Menai Bridge, one of the most stupendous works of art that has been raised by man in modern ages, consists of a mass of iron, not less than four millions of pounds in weight, suspended at a medium height of about 120 feet above the sea.
Page 22 - If a body move in any orbit about a fixed centre of force, the areas, described by lines drawn from the centre to the body, lie in one plane, and are proportional to the times of describing them...