Which method involves placing forces head-to-tail to determine the resultant?

Which method involves placing forces head-to-tail to determine the resultant?

• A. Polygon method
• B. Components
• C. Moment of force
• D. Couple

Answer: (A)

When you add several forces graphically, you use vector addition by connecting them end to start. Draw each force so its tail sits at the head of the previous one, creating a chain. The resultant is the vector from the tail of the first force to the head of the last one. This is exactly the idea behind the polygon method: lay out all forces in sequence to form a polygon, and the resultant is the closing vector that would bring you back to the starting point. If the forces balance, the polygon closes and the resultant is zero. The other methods work differently. The components method adds horizontal and vertical components separately, not by chaining full forces end to end. The moment-of-a-force approach focuses on the rotational effect about a point, not on summing the forces’ magnitudes and directions. A couple refers to two equal and opposite forces producing a pure moment, with no net translational force.

When you add several forces graphically, you use vector addition by connecting them end to start. Draw each force so its tail sits at the head of the previous one, creating a chain. The resultant is the vector from the tail of the first force to the head of the last one. This is exactly the idea behind the polygon method: lay out all forces in sequence to form a polygon, and the resultant is the closing vector that would bring you back to the starting point. If the forces balance, the polygon closes and the resultant is zero.

The other methods work differently. The components method adds horizontal and vertical components separately, not by chaining full forces end to end. The moment-of-a-force approach focuses on the rotational effect about a point, not on summing the forces’ magnitudes and directions. A couple refers to two equal and opposite forces producing a pure moment, with no net translational force.