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الكتب الكتب 1 - 10 من 120 فيbe the angles made by the lines of action of the supporting forces with that of the....
" be the angles made by the lines of action of the supporting forces with that of the resultant of the load ; then because each side of a triangle is proportional to the sine of the angle between the other two, "
A Manual of Applied Mechanics - الصفحة 135
بواسطة William John Macquorn Rankine - 1872 - عدد الصفحات: 648
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The Elements of Mechanics, Comprehending Statics and Dynamics: With a ...

John Radford Young - 1832 - عدد الصفحات: 326
...single force represented by the diagonal 10 14. Of three equilibrating fortes the intensity of any one is proportional to the sine of the angle between the other two 11 15. Composition of several concurring forces by geometrical construction . . . . . ib. 16. To resolve...
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The Elements of Mechanics: Comprehending Statics and Dynamics. With a ...

John Radford Young - 1834 - عدد الصفحات: 258
...sides of the polygon, then, recollecting that each of three equilibrating forces acting on a point is proportional to the sine of the angle between the other two, and calling the several tensions i, fj, t 2 , &c. (see fig. 18,) we have t _sin. «j íj_sin. a¡ t...
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The Elements of Mechanics: Comprehending Statics and Dynamics. With a ...

John Radford Young - 1834 - عدد الصفحات: 258
...sides of the polygon, then, recollecting that each of three equilibrating forces acting on a point is proportional to the sine of the angle between the other two, and calling the several tensions f, f,, t 2 , &c. (see fig. 18,) we have t _sin. a , t l _sin.a , t...
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The Elements of Mechanics: Comprehending Statics and Dynamics. With a ...

John Radford Young - 1834 - عدد الصفحات: 258
...force represented by the diagonal • 21 14. Of three equilibrating forces the intensity of any one is proportional to the sine of the angle between the other two - - 22 15. Composition of several concurring forces by geometrical construction - ib. 16. To resolve...
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The Elements of Mechanics, Comprehending Statics and Dynamics: With a ...

John Radford Young - 1848 - عدد الصفحات: 258
...force represented by the diagonal - - - 21 14. Of three equilibrating forces the intensity of any one is proportional to the sine of the angle between the other two - - - - 22 15. Composition of several concurring forces by geometrical construction - ib. 16. To resolve...
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THE PRINCIPLES OF THE SOLUTION OF SENATE-HOUSE 'RIDERS'

FRANCIS J. JAMESON - 1851
...pass through A. The proposition further tells us that the magnitude of each of the forces P, F, R, is proportional to the sine of the angle between the other two. Hence Pi F: R :: ÄnBAC : ÀnBAD : sin CAO; therefore „ = _ s ___. , , P smBAC But since AB = BG...
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Cambridge Senate-house problems and riders for the year 1860: with solutions

Henry William Watson, Edward John Routh - 1860 - عدد الصفحات: 198
...direction, of the resultant. 2. When three forces acting at a point are in equilibrium, each force is proportional to the sine of the angle between the other two. Two equal particles, each attracting with a force varying directly as the distance, are situated at...
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Cambridge senate-house problems and riders for the year 1860; with solutions ...

Henry William Watson, Edward John Routh - 1860
...direction, of the resultant. 2. When three forces acting at a point are in equilibrium, each force is proportional to the sine of the angle between the other two. Two equal particles, each attracting with a force varying directly as the distance, are situated at...
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An elementary treatise on Mechanics

1863 - عدد الصفحات: 374
...directions are not parallel:— (i) Their lines of action must meet in a point, Art. (22). (ii) Each force is proportional to the sine of the angle between the other two, the direction of each force lying without the angle formed by the other two, Art. (23). For this latter...
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Elements of Mechanics: For the Use of Colleges, Academies, and High Schools

William Guy Peck - 1866 - عدد الصفحات: 331
...u. P : Q : M' : : sin QOR' : sin FOR' : sin POQ. _ Hence, if three forces are in equilibrium, each is proportional to the sine of the angle between the other two. EXAMPLES. 1. Two forces, P and Q, are equal in intensity to 24 and 30, respectively, and the angle...
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