: Consider the following spring-mass-damper system:

Draw free body diagrams for each mass. i) Write the equations of motion for each mass as differential equations in the time domain. iii) Convert the equations of motion for each mass into algebraic equations using the Laplacetransform. (Assume zero initial conditions.) (3 points) iv) Solve for the transfer function G(s) = X2(s)/F(s). (You do not need to simplify your answer orconvert the transfer function back to the time domain.) (3 points) v) Find a state-space representation of the equations of motion.