 | 1867 - 224 pages
...<rei<r<£x9(ia, EXAMINATION FOE THE MA DEGREE. SATURDAY, April 17, 1875. NATURAL PHILOSOPHY. 1. Prove that if three forces are in equilibrium each is proportional to the sine of the angle contained by the other two. What additional condition must be fulfilled in order that the converse... | |
 | William John Macquorn Rankine, Edward Fisher Bamber - 1873 - 368 pages
...other, or in other words, that three forces in the same plane balance each other at one point, when each is proportional to the sine of the angle between the other two. 211. Polygon of Forces. — If a number of forces acting through the same point be represented by lines... | |
 | William John Macquorn Rankine - 1873 - 356 pages
...oiher, or in other words, that three forces in the same plane balance each other at one point, when each is proportional to the sine of the angle between the other two. 211. Polygon of Forces. — If a number of forces acting through the same point be represented by lines... | |
 | Julius George Medley - 1873 - 942 pages
...Load compresses both bars; and since the three stresses (-7- -f- w' ),<,', A, are in equilibrio at C', each is proportional to the sine of the angle between the other two, í. в., ^L + wj ; t,' : А„ = sin A'C'C" : sin C"C'M- : sin A'C'M" = sin í : 1 : cos » Л í,'... | |
 | James Russell Soley - 1880 - 346 pages
...State the parallelogram of forces, and deduce from it that, if three forces acting on a particle be in equilibrium, each is proportional to the sine of the angle between the other two. A small ring of given weight rests on the arc of a smooth circular hoop which is fixed in a vertical... | |
 | United States. Congress. Senate - 1880 - 1304 pages
...State the parallelogram of forces, and deduce from it that, if three forces acting on a particle be in equilibrium, each is proportional to the sine of the angle between the other two. A small ring of given weight rest» on the arc of a smooth circular hoop which is filed in a vertical... | |
 | Adolphe Ganot - 1886 - 1074 pages
...the sines of the angles are equal to the sines of their supplements, we at once conclude that •when three forces are in equilibrium, each is proportional to the sine of t/te angle between the directions of the other two. •^ 36. Momenta at Forces. — Let P (fig. 12)... | |
 | John Greaves - 1888 - 302 pages
...parallelogram of forces in another form. -J " \ Prop. If three forces acting on a particle, keep it in ". I equilibrium, each is proportional to the sine of the angle * between the other two. Let OA, OB, OC represent three forces P, Q, R which, acting on a particle, keep it in equilibrium.... | |
 | Thomas Wallace Wright - 1890 - 276 pages
...^/ysin (180° - y), or ./P/sin a = F,/sia ft = F,/sin y; that is, when three forces acting on a particle are in equilibrium, each is proportional to the sine of the angle between the directions of the other two forces. Illustration. — Take a piece of board, and drive in three smooth... | |
 | Sidney Luxton Loney - 1891 - 318 pages
...together are less than the third. 40. Lami's Theorem. If three forces acting on a particle keep it in equilibrium, each is proportional to the sine of the angle between the other two. Taking Fig., Art. 38, let the forces P, Q, R be in equilibrium. As before, measure off lengths OL,... | |
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Lami's Theorem. If three forces acting on a particle keep it in equilibrium, each is proportional to the sine of the angle between the other two. 
