Write the equations of motion for the masses shown Do not us

Write the equations of motion for the masses shown. Do not use impedence and make sure to show the free body diagrams.

Solution

E_f=ma

mx2=-cx1-kx

mx2+cx+kx=0

x2+cx1/m+kx/m

w₀=root of k/m

e=c/2root of km

x2=2ew₀x1+w₀²x