What is the main concept of lami's theorem?In lami's theorem Why "the sine of the angle" is used?
2006-08-05 05:43:56 · 6 answers · asked by star123 2 in Science & Mathematics ➔ Mathematics
I would add that the three vectors must form a triangle (the resultant force must be zero), and that this theorem must be related to the "Law of Sines".
2006-08-05 06:05:25 · answer #1 · answered by Benjamin N 4 · 1⤊ 1⤋
Lami's theorem in statics states that if three coplanar forces are acting on a same point and keep it stationary, then it obeys the relation where A, B and C are the magnitude of forces acting at the point (say P), and the values of α, β and γ are the angles directly opposite to the forces C, B and A respectively. Lami's theorem is applied in static analysis of mechanical and structural systems. See also Mathematics of Vectors Vectors in Mechanics TextBook 'Engineering Mechanics' by Beer & Johnson TextBook 'Physics' by Hayt & Kemmerly
2016-03-27 00:06:48 · answer #2 · answered by Nikki 4 · 0⤊ 0⤋
The concept means that the forces a a junction must vectorially add to zero for equilibrium.
2006-08-06 08:12:25 · answer #3 · answered by goring 6 · 0⤊ 0⤋
it is an invariant of a triangle. Relates the side of a triangle with the angle that opens that side. Moreover, this relation is the same
independently of the side you chose.
2006-08-05 05:59:30 · answer #4 · answered by Carlos 3 · 0⤊ 0⤋
I'd better let the article speak for itself on this one.
2006-08-05 05:55:23 · answer #5 · answered by ensign183 5 · 0⤊ 0⤋
"shrug"
2006-08-07 15:16:06 · answer #6 · answered by steve b 5 · 0⤊ 0⤋