Polygon Law of Forces & Graphical Method is explained with following timestamps:
0:00 – Mechanics of Solid Lecture series
0:14 – Outlines on the session
0:26 – Polygon Law of Forces
2:16 – Statement of Polygon Law of Forces
6:08 – Graphical Method
7:58 – Space Diagram
8:28 – Bow’s Notation
9:08 – Vector Diagram

Following points are covered in this video:
1. Polygon Law of Forces
2. Statement of Polygon Law of Forces
3. Graphical Method
4. Space Diagram
5. Bow’s Notation
6. Vector Diagram

Engineering Funda channel is all about Engineering and Technology. Here this video is a part of Mechanics of Solids or Engineering Mechanics.

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Details of Polygon Law of Forces & Graphical Method in Mechanics of Solid:

The Polygon Law of Forces and the Graphical Method are techniques used in mechanics of solids to analyze and determine the resultant force acting on an object or a system of forces.

The Polygon Law of Forces states that if a number of concurrent forces acting at a point are represented in magnitude and direction by the sides of a polygon taken in order, then the forces are in equilibrium, and their resultant is zero. This law is similar to the Triangle Law of Forces, except that it can be applied to more than three forces. To use the Polygon Law of Forces, the forces acting on an object are represented by a closed polygon with each side of the polygon representing the magnitude and direction of the corresponding force. The resultant force acting on the object is given by the closing side of the polygon, and its direction and magnitude can be determined using trigonometry.

The Graphical Method is a technique used to determine the resultant force acting on an object or a system of forces by drawing the forces as vectors on a diagram. Each force is represented by an arrow with its tail at the point of application and its direction and magnitude determined by the scale of the diagram. The resultant force is then determined by adding the individual vectors using vector addition, and its magnitude and direction can be determined by trigonometry. The angle that the resultant force makes with the horizontal is given by the inverse tangent of the ratio of the sum of the vertical components of the individual forces to the sum of the horizontal components.

Both the Polygon Law of Forces and the Graphical Method are widely used in engineering and mechanics of solids to analyze and solve problems related to the equilibrium of structures and systems. They are particularly useful in situations where the forces acting on an object or system are not parallel and can be represented by vectors.