10. Examine the system shown below. Mass 2 sits on mass1 and is free to move on top of mass 1 except there is linear viscous damping with a coefficient of b. Mass 1 is additional mounted to the wall by the linear spring with constant k, and linear damper with constant b, as shown. a. For each mass, draw a free body diagram and derive the differential equation describing its motion. b. Transform the equations of motion into the Laplace domain and work out the transfer function where the position of mass 1 is the output and the force on mass 2 is the input. State any assumptions made and relate back to any modeling decisions made earlier. m m f{t} (Ctrl)