Hang a weight (F) from the middle of a horizontal wire of length 2L, attached on both sides. The wire has an effective modulus E and effective area A.
a) Find an equation that relates the force to the change in height (delta h) of the weight.
b) Taylor expand your solution from part (a) to find an equation that gives delta h as a function of the applied force.
c) Scale your solutions from (a) and (b) so they are dimensionless, when is the Taylor series approximation valid within 10%?