In the below structure, a force $F=100N$ is applied to node $2$ and $L=2m.$ Nodes $1$ and $2$ are also allowed to move in certain directions. The cross$-$sectional area and the Young's modulus of the bars are $A=0\mathrm{.}02m^2$ and $E=100$GPa, respectively. Determine the displacements at node $1$ and $2$ and the reaction at the supports.