14/ aircraft sponse of the system. h(s) e(s) s(s2+4s XXXXXXXXXXs-6) G (s) = roblem2(10 points) Determine the transfer function X2(s)/F(s) for the following system. Both masses lide on a frictionless...

14/ aircraft sponse of the system. h(s) e(s) s(s2+4s +13) 30(s-6) G (s) = roblem2(10 points) Determine the transfer function X2(s)/F(s) for the following system. Both masses lide on a frictionless surface and k=1 N/m. www Fun 1 kg 1 kg Problem2(10 points) The dynamics for a cruise control system are given as M (t)+bx(t) = u(t) where u(t) is the input force, x(t) is the position of the car. The mass of the car is M and b is the viscous friction coefficient. Find the trans fer function for the system. Draw its pole-zero map Problem 3(10 points) Consider equation. system whose behavior is modeled hy the following differential (t)+4(t) +3y(t) = u(t) Find the final value of the output y(t) of the system when u(t) is a unit step. Problem 5 (10 points) Consider a unity negative feedback system (see Figure1) with the following open loop transfer function (OL TF 3