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If the force polygon is not a closed figure what does it indicates?
That the forces sum to a non-zero resultant.
What is polygon law of vector addition?
THE POLYGON LAW states that if (n-1) similar vectors acting at a point in a plane can be represented both in magnitude and direction by the (n-1) consecutive sides of a n-sided polygon then the n-th side will represent the resultant vector in the reverse order.
What are the limitations of parallelogram law of forces?
it is applicable to two forces only
What is the converse of if a shape is a rectangle then it is a parallelogram?
~(A => B) is ~B => ~A That is to say, the converse of "A implies B" is "the converse of B implies the converse of A". In this case: If a shape is not a parallelogram then it is not a rectangle.
What is a simular polygon?
Two polygons are similar if they meet the following criteria. They must have the same number of sides. Each vertex of one polygon has a corresponding vertex on the other polygon with same angle measurement. Each side on one polygon is proportional to a corresponding side on the other one by the same scalar multiple. If the two polygons are triangles, then if angle criteria is satisfied the side proportion will automatically be satisfied. The converse is true as well. For other polygons, both sides and angles must be tested. An example would be a square and a rhombus.
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 "
Define triangle law of forces and polygon law of forces?
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.
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.
What is polygon of forces?
Ugly face
What are some examples of a conditional statement?
A simple example of a conditional statement is: If a function is differentiable, then it is continuous. An example of a converse is: Original Statement: If a number is even, then it is divisible by 2. Converse Statement: If a number is divisible by 2, then it is even. Keep in mind though, that the converse of a statement is not always true! For example: Original Statement: A triangle is a polygon. Converse Statement: A polygon is a triangle. (Clearly this last statement is not true, for example a square is a polygon, but it is certainly not a triangle!)
Is the converse of the law of syllogism true?
Not always
When a conditional and its converse are true what can you combine them as?
a biconditional"All triangles have 3 sides" and "A polygon with 3 sides is a triangle" can be combined as "A polygon is a triangle if and only if it has 3 sides."The phrase "if and only if" is often abbreviated as "iff".
Explain why the polygon of forces must close when a body is in equilibrium?
The answer is in the definition: polygon of forces(plural polygons of forces) # (mechanics) A polygonal figure the sides of which are vectors representing several forces acting simultaneously upon one point, so that the vector necessary to make the figure closed is the resultant of those forces.
If the force polygon is not a closed figure what does it indicates?
That the forces sum to a non-zero resultant.
How the polygon of force obtained by experiment?
The polygon of forces can be obtained experimentally by applying multiple forces to an object and measuring their magnitudes and directions. By drawing vector representations of these forces to scale and closing the shape of the polygon, the resultant force can be determined. This method helps visualize the equilibrium or resultant force acting on the object.
