explain Lami's theorem
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Lami's theorem states that if three forces acting at a point are in equilibrium, each force is proportional to the sine of the angle between the other two forces.
for example.....
If you have three vectors a, b, and c, that sum to 0
a+b+c=0
then
∥a∥/α=∥b∥/β=∥c∥/γ
where α is the angle between b and c, β is the angle between c and a, and γ is the angle between a and b.
Some of the applications are ..
1)Lami’s theorem has wide applications in springs and beams
2)Applications of super-position theorem.
3)Finding the length of sides in a right triangle (a triangle with one right angled corner)
for example.....
If you have three vectors a, b, and c, that sum to 0
a+b+c=0
then
∥a∥/α=∥b∥/β=∥c∥/γ
where α is the angle between b and c, β is the angle between c and a, and γ is the angle between a and b.
Some of the applications are ..
1)Lami’s theorem has wide applications in springs and beams
2)Applications of super-position theorem.
3)Finding the length of sides in a right triangle (a triangle with one right angled corner)
Answered by
10
hello, here's ur answer-
Lami's theorem states that if three forces acting at any point are in equilibrium, then each force is proportional to the sine of the angle between the OTHER TWO FORCES, i.e. opposite to the former force.
As shown in the figure, the point P (on which the three forces are acting) MUST be in equilibrium.
Lami's theorem states that if three forces acting at any point are in equilibrium, then each force is proportional to the sine of the angle between the OTHER TWO FORCES, i.e. opposite to the former force.
As shown in the figure, the point P (on which the three forces are acting) MUST be in equilibrium.
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