Page 126 - Singiresu S. Rao-Mechanical Vibrations in SI Units, Global Edition-Pearson (2017)
P. 126

problems     123
                                              x 0
                                                  d 2  d 3  d 3  d 4



                                          k 3           m              k 4
                                            k 1                      k 2

                                    FiGure 1.75  Mass connected by springs.



                                                        k 2


                                                                  l
                                             mg

                                                             l
                                                             2
                                          k 1            l
                                                        4
                                             O


                                    FiGure 1.76  Rigid bar connected by
                                    springs.
                                      1.21   Figure 1.77 shows a U-tube manometer open at both ends and containing a column of liquid
                                          mercury of length l and specific weight g. Considering a small displacement x of the manom-
                                          eter  meniscus  from  its  equilibrium  position  (or  datum),  determine  the  equivalent  spring
                                            constant associated with the restoring force.

                                                       Area, A


                                         x
                                          Datum
                                                       x










                                    FiGure 1.77  U-tube
                                    manometer.
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