Page 131 - Schaum's Outline of Differential Equations
P. 131

CHAPTER        14







                                         Applications                                      of




                                               Second-Order




                            Linear                     Differential




                                                             Equations












         SPRING   PROBLEMS
             The  simple  spring  system  shown  in  Fig.  14-!  consists  of  a  mass m attached lo  the lower end of  a spring
         that  is itself  suspended vertically  from a mounting. The  system  is in  its equilibrium position  when it  is at rest.
         The  mass is set in  motion  by  one or  more of  the  following  means: displacing  the  mass from  its  equilibrium
         position, providing  it with an initial  velocity, or subjecting it  to an external  force  F(i).


























                                                Posiiive.v-diretrion
                                                  Fig.  14.1

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