Notices
Results 1 to 2 of 2

Thread: Lagrangian Mechanics

  1. #1 Lagrangian Mechanics 
    Forum Professor wallaby's Avatar
    Join Date
    Jul 2005
    Location
    Australia
    Posts
    1,521
    I was wondering if a path that minimises the action of a system is necessarily one which minimises the transit time of a particle in the system? Intuition has me thinking that the answer is yes, at least in the case i'm considering, but i don't really know how i would go about finding this for a general case.

    I'm trying to come up with the alignments of an arbitrary number of chute segments so that the transit time of granular material is minimised. If minimising the action of the system is an equivalent formulation of the problem i thought maybe lagrangian mechanics could provide the appropriate equations i'm looking for.


    Reply With Quote  
     

  2.  
     

  3. #2 Re: Lagrangian Mechanics 
    . DrRocket's Avatar
    Join Date
    Aug 2008
    Posts
    5,486
    Quote Originally Posted by wallaby
    I was wondering if a path that minimises the action of a system is necessarily one which minimises the transit time of a particle in the system? Intuition has me thinking that the answer is yes, at least in the case i'm considering, but i don't really know how i would go about finding this for a general case.

    I'm trying to come up with the alignments of an arbitrary number of chute segments so that the transit time of granular material is minimised. If minimising the action of the system is an equivalent formulation of the problem i thought maybe lagrangian mechanics could provide the appropriate equations i'm looking for.
    http://en.wikipedia.org/wiki/Cycloid


    Reply With Quote  
     

Bookmarks
Bookmarks
Posting Permissions
  • You may not post new threads
  • You may not post replies
  • You may not post attachments
  • You may not edit your posts
  •