(Solved): 2. Consider the three mass-four spring system in Figure 4.15. Using free body diagrams, determine t ...

2. Consider the three mass-four spring system in Figure 4.15. Using free body diagrams, determine the equations of motion given $k_1=k_4=10\mathrm{N}/\mathrm{m},k_2=k_3=40\mathrm{N}/\mathrm{m}$ and $m_1=m_2=m_3=1\mathrm{kg}$. Write the equations in matrix form. At the instance where $x_1==0.05\mathrm{m},x_2=0.04\mathrm{m}$ and $x_3=0.03\mathrm{m}$, use Python to determine the acceleration for each mass.