- #1

James Wine

- 8

- 0

## Homework Statement

Let a wire's tension increase quasi-statically from [tex]F_{1}[/tex][tex]\rightarrow[/tex][tex]F_{2}[/tex], with Young's Modulus [tex]Y[/tex], Cross-sectional Area [tex]A[/tex], and Length [tex]L[/tex]. Find the work done

## Homework Equations

[tex]F=\frac{YA}{L}[/tex] *Delta L, tex having issues

W= Integral from L to L_2

## The Attempt at a Solution

W = YA*Integral[dL/L]

W = YA ln(L_2/L)

Question is if the length changes then the cross-sectional area should also change and would require this to be a double integral, 2nd question would be if I even thought about the first integral in the right way.