Addition of Forces Diagram


Now that the two vectors are described using the unit vectors, i and j, they can been easily added. Adding the two forces will give the total force in Cartesian notation,
F_{R} = F_{1} + F_{2} = 250i  (500 + 433)j
= 250i  933j lb
The magnitude of the total force can be determined by squaring the i and j magnitudes, and then taking the square root,
F_{R} = (250^{2} + 933^{2})^{0.5} = 965.9 lb
The angle at which the total force acts is,
θ = tan^{1} (250/933) = 15^{o}
