Under this condition forces are transformed into a polygon.

Under this condition forces are transformed into a polygon.

• A. Directional condition
• B. Analytical condition
• C. Hydraulics
• D. Graphical condition

Answer: (D)

The idea being tested is the graphical way to add forces in a plane by turning them into a polygon. When you lay each force vector end-to-end, the sequence forms a polygon whose sides are proportional to the magnitudes and directions of the forces. If the system is in equilibrium, the vectors sum to zero and the polygon closes, meaning the last point returns to the starting point. This polygon of forces is the graphical representation of the force-sum. So, forces are transformed into a polygon under the graphical method, which is why that choice is correct. The other terms don’t capture this visual vector-addition approach: the directional or analytical terms refer to different ways of handling forces, and hydraulics deals with fluids rather than the polygon construction for planar force systems.

The idea being tested is the graphical way to add forces in a plane by turning them into a polygon. When you lay each force vector end-to-end, the sequence forms a polygon whose sides are proportional to the magnitudes and directions of the forces. If the system is in equilibrium, the vectors sum to zero and the polygon closes, meaning the last point returns to the starting point. This polygon of forces is the graphical representation of the force-sum.

So, forces are transformed into a polygon under the graphical method, which is why that choice is correct. The other terms don’t capture this visual vector-addition approach: the directional or analytical terms refer to different ways of handling forces, and hydraulics deals with fluids rather than the polygon construction for planar force systems.