Theoretical Mechanics Microform An Introductory Treatise On the Principles O
Theoretical Mechanics Microform An Introductory Treatise On the Principles O
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In our eReader you can find the full English version of the book. Read Theoretical Mechanics Microform An Introductory Treatise On the Principles O Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Theoretical Mechanics Microform An Introductory Treatise On the Principles O
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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.
What to read after Theoretical Mechanics Microform An Introductory Treatise On the Principles O?
You can find similar books in the "Read Also" column, or choose other free books by Love, A. E. H. (Augustus Edward Hough), 1863-1940 to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
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.
What to read after Theoretical Mechanics Microform An Introductory Treatise On the Principles O?
You can find similar books in the "Read Also" column, or choose other free books by Love, A. E. H. (Augustus Edward Hough), 1863-1940 to read onlineMoreLess
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