Consider the following system for Parts a-c.  Draw free body diagrams for each mass Part 2b (6 points): Write the equations of motion for each mass as differential equations in the time domain. Part 2c (6 points): Convert the equations of motion for each mass into algebraic equations using the Laplace transform (assume zero initial conditions)

2 N-s/m x2(1) x3(t) 2 N-s/m x1(t) 6 N/m 6 N/m 2 N-s/m 4 kg 4 kg 00004 kg (t) f(t) Frictionless