A Manual of Applied Mechanics

Cover A Manual of Applied Mechanics
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: — Wv s Q.x, ,_.
T -5 — + tj — = -f~- -sin 2 at + — ~ cos 2 at = — =-; (6.) 2g 2«! 2g 2 2 v ' where, as before, a=2nn; n being the number of double oscilla- tions in a second. For the elliptic oscillations of Article 543, the total energy of the body is at each instant the sum of the quanti- ties of energy due to the two straight oscillations of which the elliptic oscillation is compounded ; and for a body revolving in a circle, and urged towards the centre by a deviating force propor- ti
...onal to the radius vector, the total energy relatively to the centre is one-half actual and one-half potential, viz. : — ^ + «r = Q r (7 .) 2g T 2 ^ v * SYSTEM OF BODIES — ANGULAR MOMENTUM. 505 Section 4. — Varied Translation of a System of Bodies.
558. Conservation of Momentum. — THEOREM.


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