 | John Hewitt Jellett - Calculus of variations - 1850 - 410 pages
...equal to the resolved part of R in the same direction. Now it is evident that the pressure on the curve in any direction is equal to the sum of the resolved parts (in that direction) of the resultant and the centrifugal force ; if, therefore, the total pressure... | |
 | John Hewitt Jellett - Calculus of variations - 1850 - 401 pages
...equal to the resolved part of R in the same direction. Now it is evident that the pressure on the curve in any direction is equal to the sum of the resolved parts (in that direct! on)*'of the resultant and the centrifugal force ; if, therefore, the total pressure... | |
 | Isaac Todhunter - Statics - 1853 - 362 pages
...the intensity of the force. Hence for example, by Art. (29), the resolved part of a resultant couple in any direction is equal to the sum of the resolved parts of the component couples in the same direction. CHAPTEE IV. RESULTANT OF FORCES IN ONE PLANE. CONDITIONS OF... | |
 | Stephen Parkinson - Mechanics - 1863 - 408 pages
...cos2 a + cos2/3 + cos27 = 1; JSTcosa + r'cos/3 + Zcos7 = .£ (iii), which expresses that the resultant is equal to the sum of the resolved parts of the components estimated in its direction — a theorem which is true for any system of forces which admits of a single... | |
 | Cambridge Philosophical Society - Philosophy - 1864 - 520 pages
...is the resolved part of the velocity normal to the surface, and the resolved part of the resultant is equal to the sum of the resolved parts of the components. Hence the number of unit tubes which cross the surface outwards in the third case must be the algebraical... | |
 | Cambridge Philosophical Society - Philosophy - 1864 - 518 pages
...is the resolved part of the velocity normal to the surface, and the resolved part of the resultant is equal to the sum of the resolved parts of the components. Hence the number of unit tubes which cross the surface outwards in the third case must be the algebraical... | |
 | John Kerr - Mechanics - 1866 - 358 pages
...couples of transference must vanish (art. 63). But the sum of the resolved parts of the forces at O in any direction is equal to' the sum of the resolved parts of the original forces in that direction, and the moments of the couples of transference are evidently equal... | |
 | Isaac Todhunter - Mechanics - 1867 - 368 pages
...= -y . Thus the magnitude and the direction of the resultant are determined. 268. Since VcosvOa>=X, the resolved part of the resultant in any direction...the sum of the resolved parts of the components in that direction : see Arts. 44 and 90. 269. In Art. 39 we have given the conditions under which three... | |
 | Isaac Todhunter - Mechanics - 1867 - 372 pages
...-p . Thus the magnitude and the direction of the resultant are determined. 268. Since VcosvOa;= X, the resolved part of the resultant in any direction is equal to the mm of the resolved parts of the components in that direction : see Arts. 44 and 90. 269. In Art. 39... | |
 | W. G. Willson - Dynamics - 1874 - 294 pages
...parallelogram on any given direction, that the resolved part of a velocity (or of an acceleration of velocity) in any direction, is equal to the sum of the resolved parts of its components in the same direction. This is otherwise evident, since the velocity (or acceleration... | |
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... the resolved part of the resultant is equal to the sum of the resolved parts of the components. 
