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   =    cos   
                                                               
                                                                      
                                                          
                                                                        
                                                        = 150 kos 30
                                                        
                                                          = 129.9   
                                                          
               2.5    THE RESULTANT FORCE OF COPLANAR FORCES BY ADDITION

               When a system of more than two forces have obtained, it is much more convenient and easier to

               find the components each force along the specified axes. Add these components algebraically and

               then form the resultant. This way proved to be easier than forming the resultant of the forces by
               successive application of the parallelogram law as discussed before.

















                                               Figure 2.16: Resultant Force, F


               In figure, the force F has been resolved into a component Fx along the x axis and a component

               Fy along the y axis. Although the axes shown are horizontal and vertical, both of components
               may be directed at any inclination, as long as they remain perpendicular to one another as shown

               in Figure


               To determining the rectangular component of a force, built the construction line is very

               important as always being parallel to the x and y axes, rather than perpendicular to these axes.


               So the vector notation for the component resolved into x y axes, can be write like this
                                                           =    +   
                                                                
                                                                     


               And the vector notation for the component resolved into inclination axes, can be write like this
                                                                    ′
                                                              ′
                                                         ′
                                                          =    +   
                                                                      
                                                                

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