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Home > Art, Film & Photography > Mechanical Problems, Adapted to the Course of Reading Pursued in the University of Cambridge; Adapted to the Course of Reading Pursued in the University of Cambridge Collected and Arranged for the Use of Students
Mechanical Problems, Adapted to the Course of Reading Pursued in the University of Cambridge; Adapted to the Course of Reading Pursued in the University of Cambridge Collected and Arranged for the Use of Students

Mechanical Problems, Adapted to the Course of Reading Pursued in the University of Cambridge; Adapted to the Course of Reading Pursued in the University of Cambridge Collected and Arranged for the Use of Students


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Book may have numerous typos, missing text, images, or index. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. 1828. Excerpt: ... 22. Divide the arc of a cycloid into two parts, so that the time of a body's oscillating through them may be in the ratio of 1: 5. 23. If the arc of a common cycloid, in which a pendulum oscillates, be divided into four equal arcs, the time of moving through the first quarter is equal to one-third of the whole time of oscillation. 24. If the generating circle of a cycloid move with half the velocity due to its diameter, the describing point will move in the same manner as a body oscillating in the cycloid. 25. If in the axis of a common cycloid D VB, there be taken two points C and E, equidistant from the vertex and the centre of the generating circle; and FCG be drawn parallel to DB, and EF, EG joined. Shew that the sector EFVG is quadrable, and equal to the triangle AHI. 26. If from any point F, in the curve of the cycloid, a perpendicular to the axis FE be let fall, and VC be taken equal to OE, and CG drawn perpendicular to the axis, and FG, HA, A I, be D joined; shew that the area FG V is equal to the sum of the triangles A HE, AIC. 27. In the case of the preceding problem, shew that if FE cut the axis in the middle point between O and V, the area FG V is equal to half the area of the hexagon inscribed in the circle. But if E fall in the centre, the area is one-fourth of the inscribed square. 28. If the bases of two equal cycloids be parallel, and the vertex of one in the base of the other; prove that the angle formed by the intersection of the curves will be a right angle. 29. Required the locus of the intersections of tangents to the cycloid and corresponding points of the generating circle, determined by drawing ordinates to the axis. 30. When a pendulous body oscillates in a cycloid, beginning at the highest point; compare the tension of the string at the lowest point, with...


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Product Details
  • ISBN-13: 9781150778698
  • Publisher: General Books
  • Publisher Imprint: General Books
  • Height: 246 mm
  • No of Pages: 42
  • Spine Width: 2 mm
  • Width: 189 mm
  • ISBN-10: 1150778695
  • Publisher Date: 01 Jan 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 95 gr


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Mechanical Problems, Adapted to the Course of Reading Pursued in the University of Cambridge; Adapted to the Course of Reading Pursued in the University of Cambridge Collected and Arranged for the Use of Students
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