For the spring assemblage shown below, use the potential energy approach. $($See this example. Assume the positive direction is to the right. Indicate the direction with the signs of your answers.$)$

Determine the displacement $($in inches$)$ at node $2.$

in$.$

Determine the reactions $($in lb$)$ at nodes $1,3,$ and $4.$

$F_{1x}=,lb$

$F_{3x}=,lb$

$F_{4x}=,lb$

Determine the forces $($in lb$)$ in each element.

Middle spring with endpoints at nodes $1$ and $2$

$f_{1x}^{(1)}=lb$

$f_{2x}^{(1)}=lb$

Topmost spring with endpoints at nodes $2$ and $3$

$f_{2x}^{(2)}=lb$

$f_{3x}^{(2)}=lb$

Bottommost spring with endpoints at nodes $2$ and $4$

$f_{2x}^{(3)}=lb$

$f_{4x}^{(3)}=lb$