Q$4,$ A two bar truss is shown in Figure Q$5$ A force $P=100kN$ is applied to node $1$ in the positive $y$ direction while node $1$ settle an amount $=50mm$ in the negative $x$ direction. Let $E=210$GPa and $A=6\mathrm{.}00{10}^{-4}{m}^2$ for each element. The lengths of the elements are shown in the Figure Q$4.$

i$)$ Determine the displacement in the $y$ direction of node $1$

ii$)$ Axial force in each element

iii$)$ Stress in each bar.