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.

For the closed feedwater heater below, feedwater enters state 3 at a pressure of 2000 psia and temperature of 420 °f at a rate of ix10 ibhr. the feedwat extracted steam enters state 1 at a pressure of 1000 psia and enthalpy of 1500 btu/lbm. the extracted er leaves at an enthalpy of 528.7 btu/lbm steam leaves as a saturated liquid. (16) a) determine the mass flow rate of the extraction steam used to heat the feedwater (10) b) determine the terminal temperature difference of the closed feedwater heater