QUESTION $4$:

Consider the system shown in the separate file "Homework$2\_$Q$4($Three$-$Mass$-$System$)."$

Assume that $"x_1=0"$ and $"x_2=0"$ and $"x_3=0"$ correspond to the positions where

all springs are unstretched. Each POSITIVE direction is as shown.

Derive the equations of motion.

Your answer should have the form:

i$),x_1^{}(t)=$dots

ii$),x_2^{}(t)=$dots

iii$),x_3^{}(t)=$dots

Be sure to draw the Free Body Diagram $($FBD$)$ for each mass