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an introduction to mathematical physics

by robert alexander houstoun

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Author: robert alexander houstoun

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Added by: P. M. Lewis "...

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Originally published in 1912. This volume from the Cornell University Library's print collections was scanned on an APT BookScan and converted to JPG 2000 format by Kirtas Technologies. All titles scanned cover to cover and pages may include marks notations and other marginalia present in the original volume.

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...at their ends so as to form a triangle, it will be in equilibrium if placed at the centre of the circle inscribed in the triangle. 2. Prove that the resultant attraction of a very long rectangular plate on a particle of unit mass in its plane, in line with one end of the plate, and at distances a, a' from its long edges, is in a line inclined at 45 to these edges, and is of amount >/2&o- log (a' jo), where er is the uniform surface density of the plate. 3. Show that the resultant attraction of a uniform right circular cylinder on a particle situated on its axis outside the cylinder at a distance c from its end is where A, b and p are respectively the height, radius and density of the cylinder. 4. Show that the resultant attraction of a uniform right circular cone on a particle at its vertex is _ CQS a where A, a, p are respectively the height, semi- vertical angle and density of the cone. 5. . Find the attraction of a segment of a solid paraboloid of revolution, bounded by a plane...