1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Mass-spring-mass system rotating about its centre of mass relativistically

  1. Jun 29, 2012 #1
    1. The problem statement, all variables and given/known data

    2 equal masses 'm' are attached to a spring of spring constant 'K' and unstretched length 'L'. The system is rotating about its centre of with an angular velocity 'w'. The linear velocity 'v' of m is comparable to that of speed of light 'c'. Find a relation between the Angular Momentum 'J' and the total energy 'E'.


    2. Relevant equations

    Hooke's law.
    Centripetal force.
    relativistic mass equation.



    3. The attempt at a solution

    I started off by equating the Force in the spring K (2r - L), where 2r is the compressed length of the spring; with the Centripetal force γm.w^2.r

    I obtained the expression for r using this. Using r, i obtained the Angular momentum using J = (2γm).w.r^2

    Now I cannot figure out how to obtain a relation between J and the total energy E.

    Help? Thanks in advance.
     
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted



Similar Discussions: Mass-spring-mass system rotating about its centre of mass relativistically
  1. Mass spring system (Replies: 2)

Loading...