Ugly face
" 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 "
Yes
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.
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 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
That the forces sum to a non-zero resultant.
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.
The polygon method is most suitable graphical technique for analyzing concurrent forces because it allows for the graphical addition of multiple vectors without the need any complex calculations. This method is particularly useful when dealing with systems of forces acting at a single point or in a plane. By using the polygon method, can visually determine the resultant of multiple forces, which simplifies the analysis and helps in understanding the overall effect of the forces on a system
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.
it seems to me that the only polygon of your description is a square
A type of polygon is a rhombusial polygon, trysectalnict polygon, and a equilateral polygon.
A triangle (not traingle) is a polygon. It can be a regular polygon but need not be.