Problem 2a (10 points): 2 N-s/m 6 N/m 00004 kg x(t) 2 N-s/m 4 kg x2(t) 0000 6 N/m 4 kg X3(1) 2 N-s/m -f(t) Frictionless 1. Draw free body diagrams for each mass (4 points) 2. Write the equations of motion for each mass as differential equations in the time domain (3 points) 3. Convert the equations of motion for each mass into algebraic equations using the Laplace transform (assume zero initial conditions) (3 points) Problem 2b (10 points): C Us(t) R w + HE R3 w R L Find the circuit equations in the Laplace domain in terms of the variables and parameters indicated in the problem.