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Three forces in equilibrium can be represented in magnitude and direction by the three sides of a triangle taken in order. If a number of forces acting simultaneously on a particle be represented in magnitude and direction by the sides of a polygon taken in order, their resultant may be represented in magnitude and direction by the closing side of the polygon taken in opposite order.
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What is Converse polygon law of forces?
Yes
What is the triangle law of forces?
The triangle law of forces states that if two forces acting simultaneously on a point can be represented in magnitude and direction by the two sides of a triangle taken in order, then the resultant force can be represented by the third side of the triangle. This law is fundamental in vector addition, illustrating how forces can be combined to determine their resultant. Essentially, it provides a geometric method for analyzing the effects of multiple forces acting at a point.
What is the polygon law of forces?
" If a number of forces acting at a point be represented in magnitude ad direction by the sides of a polygon in order, then the resultant of all these forces may be represented in magnitude and direction by the closing side of the polygon taken in opposite order "
What is the Definition of polygon law?
All the concurrent forces acting at a point can be represented by a polygon's sides closing with the resultant force equal in magnitude and opposite in direction.
Statement of polygon law of forces?
if several COPLANAR FORCES are acting at a point simultaneously such that each one of them can be represented in direction and magnitude by a side of a polygon, taken in order, then the resultant is given by the closing side in the reverse order
Why should the central ring be balanced in polygon law of forces?
The central ring should be balanced in the polygon law of forces to ensure that the net force acting on it is zero. This balance is crucial for maintaining equilibrium, meaning that the ring will not experience any unbalanced forces that could cause it to move or rotate. When the forces are balanced, each vector in the polygon can be represented as a side, forming a closed shape that visually illustrates the equilibrium of forces acting on the ring. This concept is essential in various applications, such as engineering and physics, to ensure stability and proper functioning.
Why Lami's theorem cannot be used for 4 concurrent forces?
Because, this theorem comes from the law of sines which is completely a triangle law and the law of sines can not be applied on other polygons.
Difference between concurrent coplanar forces and non concurrent coplanar forces?
Concurrent coplanar forces have their lines of action intersecting at a common point, allowing them to be resolved using the parallelogram law of forces. Non-concurrent coplanar forces have their lines of action not intersecting at a common point, requiring the use of the triangle law of forces for resolution.
Derivation for parallelogram law of forces?
The parallelogram law of forces says that the sum of two forces is equivalent to the parallelogram formed by placing the first vector as starting from the origin and the second starting from the head of the first. This can be proven through trigonometric derivation of triangle angles and sides.
Can the sine law be usd in a right triangle?
Yes, the law of sines can be used in a right triangle. The law applies to any arbitrary triangle.
Can law be define within law?
Yes, law can be defined within law. The law states rules and regulations, thus defining itself. Take a person for example. You can define who they are by what they project and their personality.
What is triangular law state?
If 2 forces acting at a point are represented by 2 sides of a triangle taken in order, then the 3rd side taken in opposite order,represents the resultant
