Page 28 - eEISBN FINALIZE
P. 28

Figure 2.14 (b)


                            2
                       2
                 2
                  =    +    − 2            
                 2
                                                                  
                           2
                                      2
                  = (40  ) + (60  ) − 2(40  )(60  )      155
                 2
                  = 97.73 N

               Now, applying the law of sines


                                                   sin     sin      sin   
                                                         =       =
                                                                       


                                                 sin     sin 155      sin   
                                                       =           =
                                                  60      97.73       40  


                                                       sin 155   
                                                                                  
                                              =        −1  [(   ) 60  ] = 15.04
                                                        97.73  


                                                        sin 155   
                                                                                  
                                              =        −1  [(    ) 40  ] = 9.96
                                                        97.73  


                                                =    −    = 45 − 9.96 = 35
                                                                 
                                                                              0
                                                                       0
                                                     
                                                


               Example 2.4


               Resolve the 150 N forces into components along the x and y axes as shown in Figure 2.14 (a).



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