Problem $6$

In the figure shown:

$k=5\frac{N}{m}$ on springs connected to nodes $1$ and $4$

$k=10\frac{N}{m}$ on springs connected to nodes $1$ and $2$

$k=2\frac{N}{m}$ on springs connected to nodes $1$ and $3$

Apply a displacement $u_1=-2m,v_1=+3m$ at node $1.$ Find the resultant force components on all

nodes. Verify from the system solution that the structure is in equilibrium. Hint: The system

matrix is $88.$