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Elements of natural philosophy (Volume 1) (1850)

Bartlett, W. H. C. (William Holms Chambers), 1804-1893 · New York : Barnes · leaf 161

An illustration from Elements of natural philosophy (Volume 1), 1850, leaf 161
k2; 156 NATURAL PHILOSOPHY. denoting Cm^ = Cx m2 = Cx m3 by r, 7)^1^ = m2 k2 by ynand the velocity of rotation acquired by a point at theunits distance from G by Vh then will and m2mz = Vxr, cos Ox m2 h2 = —, Relative velocity which substituted above, give of two elementsof a solid bodyin motion; v… … directionperpendicular tothe former; V = VXX, (42). Denoting, as before, the weight of the element m by p,and its force of inertia in the direction C Ox by /, wehave __ p v _ p f ~ JT ~ Jt{v~ Yxy^ and similar expressions for the inertia of the other ele-ments. Taking the sum of these, and…

Mechanics · Acoustics · Optics

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