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Maths help

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astarmathsandphysics:
I wrote these note. They are under a level physics. Tell me if you want some more.

http://www.astarmathsandphysics.com/a_level_physics_notes/a_level_physics_notes_shear_deformation.html

wassup:
thank u very much for the help but these notes are not what i need. in shear and stretch, there is an invariant and how to take out the scale factor, etc. so plz help me asap as i hav my exam in this oct/nov 09 session.

sh@ni_rox:
hey  :)
i dont really have any notes i can give you but i can try and explain it to you...
In a Stretch: the points move at right angles to the invariant line
                  there are 2 basic transformation matrix for the stretch
                  1.) when the x-axis is the invariant line - [0 K] where k is the scale factor
                                                                            [1 0]
                   
                   2.) when the y-axis is the invariant line [0 1] where K is again the scale factor
                                                                           [K 0]

In a Shear: the points move parallel to the invariant line
                there are also 2 basic transformation matrix for the shear
                1.) when the x-axis is the invariant line - [1 K]
                                                                          [0 1]

                 2.) when the y-axis is the invariant line - [1 0]
                                                                           [K 1]

                                                                         

sh@ni_rox:
oh by the way,
*NB: the invariant line is the line about which the transformation takes place such that points on the line remain FIXED or (do not move)

the difference between a shear and a strtch is quite easy to see, as a shear will really distort the original image, a stretch will just err... stretch it? lol
anyways hope that helped!  ;D

astarmathsandphysics:
I have done a pnother page of notes on this and will put them up tonight

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