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Guide to the Indian Civil Service; Containing Directions for Candidates, Standards…

by Alexander Charles Ewald
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Book cover type: Paperback
  • ISBN13: 9781236238009
  • Binding: Paperback
  • Subject: Career Counselling
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Publication Date:
  • Pages: 52
  • Original Price: USD 16.23
  • Language: English
  • Edition: N/A
  • Item Weight: 109 grams
  • BISAC Subject(s): General

This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1870 Excerpt: ... If a particle describe a curvilinear path about a centre I of force, prove that the areas described by the radius vector are proportional to the times. The orbit of a comet is an ellipse which intersects the earth's orbit (supposed circular) at the extremities of its minor axis. Find the period of the comet in days. If e be the eccentricity, find how long the comet will remain within the earth's orbit. 6. Explain what is meant by centrifugal force, and show that it is properly measured by, where v is the velocity, m the mass of a particle, and p the radius of curvature of its path. A small heavy ring can slide on a smooth vertical circular wire, and the circle is made to turn about a vertical diameter with a uniform angular velocity so as to make n complete revolutions in a second. Find the position which the ring tends to take on the wire and the time of a small oscillation. 7. Show how to find the centre of pressure of any area immersed in a homogeneous fluid under the action of gravity. Apply your method to the case of a triangle with one side in the surface. 8. Define the metacentre, and point out how its position determines the stability or instability of a floating body. A thin heavy hemispherical shell floats in water; determine the ratio in which the stability is altered by attaching a weight equal to that of the hemisphere to its lowest point. 9. Investigate the equation of continuity in Hydrody namics. What physical fact does this equation express? 10. Find the deviation of a ray of light passing through a prism. In what position should a prism be held to form the most distinct image of a point? 11. Define the circle of least confusion. Investigate its position and magnitude. What is the use of this circle? 12. Give a diagram showing the construc...

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