Page 85 - E-MODUL MEKANIKA ANALITIK
P. 85

1              1
                                     ℒ =           ̇  2  +        ̇  2  +         +        
                                                1 1
                                                                           1
                                                                                        2
                                                                                1
                                                                                             2
                                                               2 2
                                           2              2

                       LAGRANGE MULTIPLIER

                                                       ℒ                    ℒ
                                                          + λ       =
                                                                                 ̇





                       VARIABLE   
                                       


                                                      ℒ                      ℒ
                                                         + λ        =
                                                         1         1            ̇ 1





                            1        2     1        2
                           (        ̇   +          ̇  +         +         )              (   +    +   )
                            2    1 1       2    2 2         1    1       2    2   + λ       1      2

                                                       1                                            1
                                                                  + λ
                                                               1





                                           1        2     1        2
                                           (       ̇   +          ̇  +         +         )
                                                                           1
                                                                                1
                                                               2 2
                                                1 1
                                                                                             2
                                                                                        2
                                           2
                                                          2
                                                                     ̇ 1
                                                                    ̈
                                                                 1 1
                                                                =                    
                                                         +    =       ̈
                                                        
                                                                            









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