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" The altitude of a right cone is h, and the diameter of the base is b ; a string is fastened to the vertex and to a point on the circumference of the circular base, and is then put over a smooth peg: shew that if the cone rests with its axis horizontal... "
Mechanics required for the Additional Subjects for Honours at the Previous ... - Page 96
by James McDowell - 1867 - 102 pages
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A Treatise on Analytical Statics: The parallelogram of forces. Forces acting ...

Edward John Routh - Elastic rods and wires - 1891 - 428 pages
...(n + 1). [Math. Tripos, 1883.] Ex. 8. The altitude of a right cone is h and the radius of its bane is r ; a string is fastened to the vertex and to a...point on the circumference of the circular base and in then put over a smooth peg: prove that if the cone rests with its axis horizontal the length of...
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A Treatise on Analytical Statics, with Numerous Examples: The prarllelogram ...

Edward John Routh - Potential theory (Mathematics) - 1896 - 412 pages
...sec-i 2 (n + 1). [Math. Tripos, 1883.] Ex. 8. The altitude of a right cone is h and the radius of its base is r; a string is fastened to the vertex and...the circular base and is then put over a smooth peg: prove that if the cone rests with its axis horizontal the length of the string is ^(ft2 + 4r2). [Math....
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An Elementary Treatise on Statics

Sidney Luxton Loney - Mechanics - 1912 - 418 pages
...possible length of the string is h Vl + ^tan2a. 6. The altitude of a cone is /; and the radius of its base is r ; a string is fastened to the vertex and...then put over a smooth peg ; shew that, if the cone rest with its axis horizontal, the length of the string must be iJW+4iP7. Two equal circular discs...
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the elements of statistics and dynamics

650 pages
...possible length of the string is Avl-fi,/- tan2 a. 23. The altitude of a cone is h and the radius of its base is r ; a string is fastened to the vertex and...then put over a smooth peg ; shew that, if the cone rest with its axis horizontal, the length of the string must be 24. Three equal smooth spheres on a...
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