Question:

Can anyone help me with this physics question?

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Determine the elongation of the rod in Figure P9.11 if it is under a tension of 4.2 103 N.

I am pretty sure I have to use the youngs modulus (F/A=Y changeL/Lo). The Y of Al=7e10 Pa and Y of Cu= 11e10 Pa. I may be off track so any help is much appreciated. The figure for this problem is on the link below. Thanx

http://www.webassign.net/sercp/p9-11.gif

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2 ANSWERS


  1. Use the formula for Young's Modulus

    Y= (F/A) / (changeL/Lo)

    Everything in SI units

    You are given Y1 and Y2, F and can calculate A because you are given r. You are given ( L0)1 and (L0)2

    Therefor apply Young's modulus formula and solve for change L1 and do it again for change L2

    Add the two answers to get the elongation.


  2. You're definitely on the right track.

    Rearrange F/A = Y*[ΔL/L(i)]  -->  ÃŽÂ”L = [F*L(i)]/[A*Y] and solve it for ΔL(Al) and ΔL(Cu).  Then add those results to the original lengths to get the final rod length.

    You're given the force and lengths, and the cross-sectional area can be found easily (convert the radius to m first).

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