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Addition of Coplanar Forces – Using Cartesian Vector Notation



 

 

For problems and solutions on addition of coplanar forces click HERE.

 

Given the coplanar forces F₁, F₂ and F₃ below, find the resultant force F_R = F₁ + F₂ + F₃

 

 

 Step 1:

Represent each force as a Cartesian vector:

 

 

Step 2:

Finally, determine the resultant force: 

 

 

Addition of Coplanar Forces – Using Scalar Notation

For problems and solutions on addition of coplanar forces click HERE.

Given the coplanar forces F₁, F₂ and F₃ below, find the resultant force F_R = F₁ + F₂ + F₃

 

Step 1:

Resolve the forces into their rectangular components i.e.:

Step 2:

Determine the resultant force in the x-axis and y-axis independently i.e.:

Step 3:

Finally determine the magnitude of the resultant force F_R and its direction θ :

 

For problems and solutions on addition of coplanar forces click HERE.