Applied mechanics for engineers ; a text-book for engineering students by Hancock Edward Lee 1873-1911

Author:Hancock, Edward Lee, 1873-1911. [from old catalog]
Language: eng
Format: epub, pdf
Tags: Mechanics, Applied
Publisher: New York, The Macmillan company
Published: 1909-03-25T05:00:00+00:00

Fig. 121a

^ P^, Pg, etc., making

angles oci, aoj ^3' ^^<^-' with X, It is seen at once that only the components of Pj, P2, P3, etc., parallel to x have any part in producing motion in that direction. We may say, then, that the impressed forces are Pj cos a^, P^ cos a^-, P3 cos ccg, etc., and that these produce an acceleration a in the direction indicated.

Imagine the body now divided into small particles each of mass dM^ and assume that the system of forces producing the motion of the body consists of a small force dM. a acting on each particle. D'Alembert's Principle then states that these forces reversed are in equilibrium with the impressed forces. We have, then, ^x =0,

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