LAWS FOR THE RESULTANT FORCE
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The document outlines two laws for finding the resultant force of a system of forces: 1) the triangle law of forces which states that the resultant of two forces can be represented by the third side of a triangle formed by the other two forces, and 2) the polygon law of forces, an extension of the triangle law to more than two forces, where the resultant is the closing side of a polygon formed by the other forces. It also mentions the graphical/vector method for finding the resultant force which involves constructing a diagram showing the magnitude and lines of action of the individual forces.
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LAWS FOR THE RESULTANT FORCE
- 1. LAWS FOR THE RESULTANT FORCE The resultant force, of a given system of forces, may also be found out by the following laws : 1. Triangle law of forces. 2. 2. Polygon law of forces.
- 2. TRIANGLE LAW OF FORCES • It states, “If two forces acting simultaneously on a particle, be represented in magnitude and direction by the two sides of a triangle, taken in order ; their resultant may be represented in magnitude and direction by the third side of the triangle, taken in opposite order.”
- 3. POLYGON LAW OF FORCES It is an extension of Triangle Law of Forces for more than two forces, which states, “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 ; 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.”
- 4. GRAPHICAL (VECTOR) METHOD FOR THE RESULTANT FORCE • Construction of space diagram (position diagram). It means the construction of a diagram showing the various forces (or loads) alongwith their magnitude and lines of action.