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A question about Materials

  1. Feb 10, 2008 #1
    1. The problem statement, all variables and given/known data
    Two wires each of 2.50m long, one of steel of diameter 1.0mm and the other of copper of diameter 0.56mm are suspended from two points in the same horizontal plane 200mm apart. The lower ends of the wires are fixed to the two ends of a uniform bar 200mm long and of weight 20.0N

    A mass of 6.0kg is suspended from the center of the bar. The bar tilts at 0.8degrees to the horizontal. The young modulus of steel is greater than that of copper. Assume the wires remain vertical.

    i) What is the tension in each wire?
    ii) Calculate the extension of steel
    iii) Determine the young modulus of the copper wire
    v) Calculate the strain energy stored in the two wires.

    The acceleration of free fall is 9.8ms^-2 and the Young modulus of steel is 2.0 * 10^11 Pa.
    2. Relevant equations
    The equations to be used are probably these (from my knowledge):
    strain = extension/length
    stress = tension/area
    young modulus = stress/strain = FL/Ae


    3. The attempt at a solution
    i) [ 20 + (6 * 9.8) ] / 2= 39.4

    If someone could work out ii and iii for me showing all the working i'd appreciate. i believe i can proceed from there
     
    Last edited: Feb 10, 2008
  2. jcsd
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