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Young's Modulus Question

  1. May 2, 2015 #1
    1. The problem statement, all variables and given/known data
    A nano-tube having cross sectional area A and length L extends ΔL when a force F is applied normally to one of the cross-sectional surfaces. Show that if N tubes are connected end-to-end the then Young's modulus of the fibre does not change.

    2. Relevant equations


    3. The attempt at a solution
    Not sure how to answer this but:

    Stress on the nano-tubes regardless of how much there are will not change. So force and cross sectional area would be a constant.

    I'm assuming that the total length of lets say a wire, will extend proportional to its length. So the Strain will remain constant.

    So the Young's modulus of the nano-tube will not change.
     
  2. jcsd
  3. May 2, 2015 #2
    Excellent analysis!!!! Spot on.

    Chet
     
  4. May 3, 2015 #3
    Thanks :) !
     
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