 | William John Macquorn Rankine - Engineering - 1866 - 376 pages
...two forces, A and B. In symbols, let A, B, and C, be the forces ; then, Fig. 64. 0;AB:BC:CB::C:A:B. Each of the three forces is equal and opposite to the resultant of the other two ; and eacli pair of forces are equal and opposite to the components of the third. Hence this rule serves... | |
 | William John Macquorn Rankine - Engineering - 1866 - 356 pages
...the angles between their directions; then sin BOC : sin COA : sin A 0 B : : A : B : C. Eacli of those three forces is equal and opposite to the resultant of the other two. RULE VI. — To find the resultant of any number (Fv F2, F3, ifce., fig. 57) of forces in different... | |
 | William John Macquorn Rankine - Engineering - 1872 - 336 pages
...of the other two forces, A and B. In symbols, let A, B, and C, be the forces; then, Fig. 64. A + B+ C = 0; AB:BC:CA::C:A:B. Each of the three forces is...components, acting in given lines in the same plane. RULE XX. — To find the relative proportions of four parallel forces which balance each other, not... | |
 | William John Macquorn Rankine - Machinery - 1873 - 568 pages
...A and B. Fi«- 23°In symbols, let A, B, and C be the forces; then, A + B + C = 0;AB:BC:CA::C:A:B. Each of the three forces is equal and opposite to...components acting in given lines in the same plane. III. To find the relative proportions of four parallel forces which balance each other, not acting... | |
 | William John Macquorn Rankine - Engineering - 1873 - 338 pages
...of the other two forces, A and B. In symbols, let A, B, and C, be the forces; then, Fig. 64. Eacli of the three forces is equal and opposite to the resultant...given force into two parallel components, acting in givea lines in the same plane. RULE XX. — To find the relative proportions of four parallel forces... | |
 | William John Macquorn Rankine - Machinery - 1873 - 620 pages
...angles between their directions; then • sin BOC : sin COA : sin AOB : : A : B : C. Each of those three forces is equal and opposite to the resultant of the other two. III. Polygon of Forces. — To find the resultant of any number (Fj, F,, F3, &c., fig. 224), of forces... | |
 | George Wightwick - 1875 - 394 pages
...the angles between their directions ; then, Sin BAC : sin CAD : sin DAB : : P : R : Q. Each of these forces is equal and opposite to the resultant of the other two; or if three forces as above keep a point in equilibrium, each force is proportional to the sine of... | |
 | James Andrew Blaikie - 1878 - 184 pages
...Thus the three forces, P, Q, and R in the adjoining figure are in equilibrium. Since any one of these three forces is equal and opposite to the resultant of the other two, we may apply the equations of § 49 to find the resultant of parallel forces acting in opposite directions.... | |
 | William John Macquorn Rankine - Machinery - 1880 - 688 pages
...force, C, is contrary to that of the other two forces, A and B. Fig. 280. A + B + C=0;AB:BC:CA::C:A:R Each of the three forces is equal and opposite to...serves to resolve a given force into two parallel componrijt>3 acting in given lines in the same plane. III. To find the relative proportions of f^-or... | |
 | William John Macquorn Rankine - 1883 - 454 pages
...the angles between their directions; then sin B 0 C : sin COA : sin AOB : : A : B : C. Each of those three forces is equal and opposite to the resultant of the other two. RULE VI. — To find the resultant of any number (Fv F2, F3, &c., fig. 57) of forces in different directions,... | |
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Each of the three forces is equal and opposite to the resultant of the other two ; and each pair of forces are equal and opposite to the components of the third. Hence this rule serves to resolve a given force into two parallel components, acting in given... 
