Adoor closing mechanism, like the one we studied in homework 4, can be represented as a simple second-order system as follows: jθ" + bθ' + kθ = twhere j is the door inertia about the hinges, b is the damping coefficient in the closing damper, and k is the spring stiffness in the closing spring. θ is the angle of door opening, and t is the applied torque when the door is pushed open. write down the transfer function that relates the input torque t to the output angle θ.