Elementary Introduction to Practical Mechanics, Illustrated by Numerous Examples: Being the 3d Ed. of "Elementary Examples in Practical Mechanics."

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Longmans, Green, and Company, 1868 - 320 páginas
 

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Página 252 - ... and that every such change is due to the action of some external force ; up to the time of Galileo it was supposed that certain kinds of motion — such as the rolling of a body along a road — have a natural tendency to decay ; while certain other kinds — such as that of falling bodies — have a natural tendency to increase ; when this opinion came to be examined, it was found that every case of ' decay ' could be referred to the action of retarding forces, eg friction and resistance of...
Página 188 - E the modulus of elasticity, i the moment of inertia* about an axis passing through the centre of gravity of the section, and perpendicular to the plane in which the forces act.
Página 42 - AG into any even number of equal parts, and draw the corresponding ordinates; take the sum of the extreme ordinates, four times the sum of the even ordinates, and twice the sum of the odd ordinates...
Página 299 - ... that the distance from the point of suspension to the centre of the ball is the length of the pendulum ; show that the error is less than the 0-001 of an inch.
Página 317 - ... whose area is A; if we continually increase the number of sides, x will continually approach A ; also if we assign any magnitude, say one square inch, a polygon with a certain number of sides can be found, whose area will differ from A by less than one square inch ; in like manner if...
Página 8 - France) the graduation begins at the freezing point, and the interval between the freezing and boiling points is divided into 100 equal parts called degrees...
Página 276 - The Radius of Gyration. — It is evident from the definition of the moment of inertia of a body with respect to a given axis, that there will be, with respect to that axis, a line of a certain determinate length k, such that...
Página 121 - FIG. si. curve into the length of the path described by its centre of gravity. Let AB be the curve, CD the axis of revolution ; G the centre of gravity of the curve ; draw GM at right angles to...
Página 253 - If a body slides down a smooth inclined plane, show that the accelerating force equals g sin a, where a is the inclination of the plane to the horizon ; if the plane is rough, show that the accelerating force equals...
Página 19 - ... or 403,200 units of work per minute. It is plain that under these circumstances the comparison is complete between the efficiency of the expansive force of the steam and the efficiency of the other agents, and that they are reciprocally equivalent. Hence we infer the general principle— The number of units of work yielded by any agent in a given time is the true measure of its efficiency or working power.

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