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Relativistic mechanics:circle becoming ellipse.

  1. Sep 6, 2014 #1
    1. The problem statement, all variables and given/known data

    Suppose a circle of radius 'b' is set in motion.Calculate the relativistic speed parameter β(=v/c) such that the circle is seen as an ellipse of semiminor axis 'a' and semimajor axis 'b' where a <b.3 marks.


    2. Relevant equations

    L=L0

    3. The attempt at a solution
    Whichever direction the circle travels say x-axis the radius shrinks in that direction to 'a'.
    So a=b/γ.
    (a/b)2=1-(v/c)2
    β=√[1-(a/b)2]
    Is my deduction correct? Do I need to show more mathematics here or to say is my above workout enough?
     
    Last edited: Sep 6, 2014
  2. jcsd
  3. Sep 6, 2014 #2

    Orodruin

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    Looks fine to me. I would say "becomes lenght contracted" rather than "shrinks" though.
     
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