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Elements of natural philosophy (Volume 1) (1850)

Bartlett, W. H. C. (William Holms Chambers), 1804-1893 · New York : Barnes · leaf 189

An illustration from Elements of natural philosophy (Volume 1), 1850, leaf 189
a motion of rotation will now begiven. § 159.—Consider an element m of a body, situated at adistance r from an axis of rotation L M. Denote by V thevelocity which it has at any in-stant, and by p its weight, m its Fig. 100. pmass = —, Then will its living force be — . V2 or m V2. If S denote the… … t t (59); but we have seen that, in any motion whatever, thevelocity is equal to the space described, during a veryshort interval of time, divided by this interval, hence t& = V, = Vu relation ofangular toabsolute velocity; in which Vx is the velocity of the point at the units dis-tance from…

Mechanics · Acoustics · Optics

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