$(20$ Points$)$ A tension test was conducted on a specimen $0\mathrm{.}35$ in thick and is

made of Balonium. A gage length of $4\mathrm{.}000$ inches was marked on the specimen.

In the elastic portion of the stress$-$strain curve at an applied load of $P=20,000$

lb $,$ the elongation in the gage length was measured to be $0\mathrm{.}011$ in and the

contraction in the width of the bar was measured to be $0\mathrm{.}001$ in $.$ Determine the

following:

$($a$)$ Modulus of elasticity

$($b$)$ Poisson's ratio

$($c$)$ Shear modulus of elasticity

$($d$)$ Based on Poisson's ratio, what type of material do you think Balonium to

be$?$