Resultant forces equal to two co-planar (occupying the same plane) forces acting on an object can only be solved mathematically.

Question

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Resultant forces can either be solved graphically (by actually drawing a scaled diagram and using the "tip to tail" method by joining the two forces with a third (the resultant)) or mathematically by resolving the forces and then using the first condition of equilibrium (∑F = 0) to determine the third force

Resultant Forces Equal to Two Co-Planar (Occupying the Same Plane)