ME/AE 5481 Fall 2023 Homework #2 Due: Friday, September 8, 2023 For the magnetic levitation system shown, M is mass, v is velocity, x is position, g is gravity, k is a constant, I is current, L is inductance, R is resistance, and e is the input voltage. R M x(t) = v(t) 1(t) Mv(t) Mg-k x(t) e(t) Li(t) -RI+e(t) a) (5 points) Determine the equilibrium state variables for a constant input voltage with magnitude E. b) (15 points) Determine the state equation for the linearized system.