Theoretical Mechanics Microform An Introductory Treatise On the Principles O
Theoretical Mechanics Microform An Introductory Treatise On the Principles O
Love, A. E. H. (Augustus Edward Hough), 1863-1940
The book Theoretical Mechanics Microform An Introductory Treatise On the Principles O was written by author Love, A. E. H. (Augustus Edward Hough), 1863-1940 Here you can read free online of Theoretical Mechanics Microform An Introductory Treatise On the Principles O book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is Theoretical Mechanics Microform An Introductory Treatise On the Principles O a good or bad book?
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Prove that the time down the chord of quickest descent from the focus to the curve is v /(2a. 9 r ~ 1 se 6. A spherical shell has a small hole at its lowest point, and any number of particles start down chords from the interior surface at the same instant, pass through the hole, and then move freely. Prove that at any instant before or after passing through the hole they lie on the surface of a sphere, and find the radius and position of such a sphere. 7. An ellipse is placed with its minor axi...s vertical. Prove that the normal chord of quickest descent from the curve to the major axis is that drawn from a point subtending a right angle at the foci when there is such a point. Determine the normal chord of quickest descent when there is no such point. 202 MOTION UNDER CONSTRAINTS AND RESISTANCES. [CHAP. X. 8. A cycloid is placed with its axis vertical and base upwards, and particles starting from various points of the base run down chords of quickest descent to the curve. Prove that if x is the length of such a chord, and 2A the vertical height through which a particle would fall freely in the time of describing it, then x 2 - x */(h?/a) - 2A 2 = 0.
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