Consider the following spring system.
$c_1 = 8,\quad c_2 = 10,\quad c_3 = 6,\quad c_4 = 3,\quad c_5 = 8,\quad c_6 = 5,\quad c_7 = 6 \\ m_1 = 3,\quad m_2 = 6,\quad m_3 = 2$
Write the elongation matrix $A =$$\left[\Rule{0pt}{8.4em}{0pt}\right.$$\left]\Rule{0pt}{8.4em}{0pt}\right.$ (assume down is the positive direction).
Write the stiffness matrix $K =$$\left[\Rule{0pt}{3.6em}{0pt}\right.$$\left]\Rule{0pt}{3.6em}{0pt}\right.$
Find the displacement of the springs at equilibrium caused by gravity $u = g$$\left[\Rule{0pt}{3.6em}{0pt}\right.$$\left]\Rule{0pt}{3.6em}{0pt}\right.$