Tuesday, December 29, 2009

Matrices used to solve a statics problem

"http://www.intmath.com/Matrices-determinants/6_Matrices-linear-equations.php" exercise 4 in this page is a common statics problem were we need to find the forces acting on the rod such that the rod is in equilibrium.
we get 3 equations with 3 unknowns after we sum the vertical and horizontal forces and the moment along any point on the rod.
and then we write them
In matrix form, we write the equations as:
forcesforces
using the inverse method we solve for F1, F2, and F3.

So the solution for the system is:
solutionsolution 2solution 3
So
F1 = 425.5 N
F2 = 1079.9 N
F3 = 362.2 N
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3 comments:

  1. UnknownDecember 29, 2009 at 2:55 PM

    Thanks a lot Jack! very interesting indeed! By the way, you should tell us HOW did you use matrix notation in the Blog? I could not do it! :)

    Well, wait a bit until we have more Postings, and then find a good example to comment on. Ok?

    Enjoy your vacations!

    Zeina

    ReplyDelete
  2. chadyJanuary 2, 2010 at 2:54 AM

    jack it's very interresting , it have never heard that matrices can be used to solve problem in physics

    ReplyDelete
  3. pierreJanuary 6, 2010 at 2:51 PM

    jack i don't understand a lot in physics but this problem is used to find the forces F1,F2and F3 of what?

    ReplyDelete

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