The Principles of Dynamics: An Elementary Text-book for Science Students (Google eBook)

Rivingtons, 1876 - Dynamics - 252 pages

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Contents

 Time and Space Force and Mass 46 Momentum and Energy 72 Laws of Motion 91 Parallelogram of Forces 98 Moments of Forces 115 Surfaces 136
 Centre of Gravity 158 Energy Of a System of Particles 175 Problems on Energy 192 Machines 205 Friction 224 Moments of Inertia 232 Answers 244

Popular passages

Page 58 - absolute " in the present sense is used as opposed to the word " relative," and by no means implies that the measurement is accurately made, or that the unit employed is of perfect construction ; in other words, it does not mean that the measurements or units are absolutely correct, but only that the measurement, instead of being a simple comparison with an arbitrary quantity of the same kind as that measured, is made by reference to certain fundamental units of another kind treated as postulates.
Page 94 - To every action there is always an equal and opposite reaction; or, the mutual actions of any two bodies are always equal and oppositely directed along the same straight line.
Page 118 - Prove that the algebraic sum of the moments of two concurrent forces about any point in their plane is equal to the moment of their resultant about the same point.
Page 92 - The rate of change of momentum is proportional to the impressed force, and takes place in the direction in which the force acts.
Page 98 - If two forces acting on a particle be represented in magnitude and direction by two adjacent sides of a parallelogram, the resultant of these forces will be represented in magnitude and direction by that diagonal of the parallelogram which passes through the particle.
Page 99 - If three forces acting at a point are in equilibrium they can be represented in magnitude and direction by the three sides of a triangle taken in order.
Page 69 - If a particle moves in consequence of the continued action upon it of a constant force, show what is the character of the resulting motion, and in what manner it depends on the magnitude of the force and the mass of the particle.
Page 207 - A Lever is an inflexible rod moveable only about a fixed axis ; which is called the fulcrum. The portions of the lever into which the fulcrum divides it are called the arms of the lever: when the arms are in the same straight line, it is called a straight lever; in other cases a bent lever.
Page 233 - Show that the moment of inertia of a body about any axis is equal to the moment of inertia about a parallel axis through the center of mass plus the product of the mass of the body and the square of the distance between the axes.