Mechanics of engineering. Theoretical mechanics, with an introduction to the calculus by unknow

Author:unknow
Language: eng
Format: epub
Tags: Mechanics, Applied, Mechanical engineering
Publisher: New York, D. Van Nostrand
Published: 1882-03-25T05:00:00+00:00

FIFTH SECTION.

DYNAMICS OF RIGID BODIES,

Fig. 465.

CHAPTEH I.

THEORY OF THE MOMENT OF INERTIA.

§ 279. Kinds of Motion.— The motion of a rigid body is either one of translation, or of rotation, or a comlination of the two. In the motion of translation (Fr. mouvement de translation; G-er. fortschreitende or progi-essive Bewegung) the spaces described simultaneously by the different parts of the body are parallel and equal to each other; in the motion of rotation (Fr. mouvement de rotation; Ger. drehende or rotirende Bewegung), on the contrary, the parts of the body describe concentric arcs of circles about a certain line, called the axis of rotation (Fr. axe de rotation; Ger. Umdre-hungsaxe). Every compound motion can be considered as a motion of rotation around a movaUe axis. The latter is either variable or constant. The piston D E and the piston-rod B F of Si pump or steam engine, Fig. 465, have a motion of translation, and the crank A C has a motion of rotation. The connecting rod A B has a compound motion; for one of its extremities B has a motion of translation, while the other A has a motion of rotation. The axis of rotation of a cylinder, which is rolling, is con-

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