What are the conditions of lami's theorem?

Answer 1

Lami's theorem states that if three forces are in static equilibrium, then the magnitude of each force is proportional to the sine of the angle between the other two forces.

Since the forces are in static equilibrium, they sum to zero. This means that if the force vectors are put end-to-end, they form a triangle.

The "law of sines" applies to any triangle, and states that the length of each side is proportional to the sine of the opposite angle.

Interpreting the sides as force vectors, we get a statement of Lami's theorem.

Answer 2

Lami's theorem states that for a system of coplanar, concurrent, and non-parallel forces in equilibrium, the magnitudes of the forces are directly proportional to the sines of the angles they make with a reference axis. This theorem is applicable when three forces act on a point and are in equilibrium. The forces must be concurrent, meaning they all meet at a single point, and coplanar, meaning they all lie in the same plane. Additionally, the forces must not be parallel to each other.

Answer 3

That there are three coplanar forces that are concurrent and non-collinear which keep an object in static equilibrium.

Answer 4

It permits calculations about three forces acting concurrently when they are in equilibrium.

Answer 5

It can be used to calculate some missing information, such as magnitude or direction of forces, when three concurrent coplanar forces are in equilibrium.

Answer 6

State conditions of lami's theorem