A model for an inverted pendulum was introduced in Example 3.2. Neglecting damping and linearizing the pendulum around the upright position gives a linear system characterized by the matrices A = (0 1 mgl/J_t 0), B = (0 1/J_t), C = (1 0), D = 0. Determine the transfer function of the system.

An open feedwater heater operates at steady state with liquid entering at inlet 1 with t? = 40°c and pl = 1 .2 mpa. water vapor att2-200°c and p2 = 1.2 mpa enters at inlet 2. saturated liquid water exits with a pressure of pa 1.2 mpa. neglect heat transfer with the surroundings and all kinetic and potential energy effects, determine the mass flow rate of steam at inlet 2 if the mass flow rate of liquid water at inlet 1 is given as 2 kg/s.