 | University of St. Andrews - 1903 - 762 Seiten
...to have its sides parallel to the lines of action of the forces. Hence show that if three forces be in equilibrium each is proportional to the sine of the angle between the other two. A weight of 130 kilogs. is suspended by two cords, whose lengths are -5 and 1«2 metres, attached to... | |
 | Arthur Morley - 1905 - 308 Seiten
...not true for any number of forces but three. 74. Lami's Theorem. — If three forces keep a particle in equilibrium, each is proportional to the sine of the angle between the other two. Let P, Q, and R (Fig. 57) be the three forces in equilibrium acting at O in the lines OP, OQ, and OR... | |
 | Thomas Wallace Wright - 1906 - 418 Seiten
...CA/sin (180° - ft) - AD/sm (180° - y), or that is, when three forces acting on a particle keep it in equilibrium, each is proportional to the sine of the angle between the directions of the other two forces. This is known as Land's Theorem. It was first published by Father... | |
 | Sidney Luxton Loney - 1907 - 332 Seiten
...therefore proportional to the forces. 33. 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. represent the forces P and Q, and complete the parallelogram OLNM. Then NO represents B. Since the... | |
 | Great Britain. Board of Education - 1912 - 632 Seiten
...point of contact. Statics and Dynamics. (Two hour$.) 1. Prove that if three forces acting on a particle are in equilibrium, each is proportional to the sine of the angle between the other two. The ends of a string, which may be regarded as weightless, are fastened at two points A, B, the distance... | |
 | Great Britain. Board of Education - 1912 - 1044 Seiten
...point of contact. STATICS AND DYNAMICS. (Two hourt.) 1. Prove that if three forces acting on a particle are in equilibrium, each is proportional to the sine of the angle between the other two. The ends of a string, which may be regarded as weightless, are fastened at two points A, B, the distance... | |
 | Sidney Luxton Loney - 1912 - 418 Seiten
...together are less than the third. 23. 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. For, in the previous article, since the sides of the triangle OLN are proportional to the sines of... | |
 | Trinity College (Dublin, Ireland) - 1912 - 624 Seiten
...questions 9-12, and any six of the remaining questions.] 1. If three forces are in equilibrium, prove that each is proportional to the sine of the angle between the other two. 2. A weight of 100 Ibs. is suspended from a point (: which is attached to strings AC ;m<i SC. A and... | |
 | Arthur Morley - 1920 - 314 Seiten
...not true for any number of forces but three. 74. Lami's Theorem. — If three forces keep a particle in equilibrium, each is proportional to the sine of the angle between the other two. Let P, Q, and R (Fig. 57) be the three forces in equilibrium acting at O in the lines OP, OQ, and OR... | |
 | Charles Ernest Weatherburn - 1921 - 218 Seiten
...This is Lami's Theorem, viz. : // three concurrent forces are in equilibrium they are coplanar, and each is proportional to the sine of the angle between the other two. In the case of n concurrent forces, let A1} A2, A3, . . . , An be the points whose position vectors... | |
| |
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. 
