The model for the steering dynamics of a ship is given by vo 6,(s) -(/0.142) r(s/0.325+1)(s/0.0362 +1) g)- where v is the ship's lateral velocity in meters per second and & is the rudder angle in radians eind:

(a) g(ja) for k-0.2 using the matlab bode command
(b) gain crossover frequency and pm, phase crossover frequency and gm on the bode plot.
(c) is the ship steering system stable with k-0.2
(d) value of k for pm-30 and the corresponding gain crossover frequency

Agas contained within a piston-cylinder assembly e end nation about same energy states, 1 and 2, where pi 10 bar, v undergoes two processes, a and b, between the sam 0.1 m3, ui-400 kj and p2 1 bar, v2 1.0 m2, u2 200 kj: process a: process from 1 to 2 during which the pressure- volume relation is pv constant process b: constant-volume process from state 1 to a pressure of 2 bar, followed by a linear pressure-volume process to +20 0 state 2 kinetic and potential energy effects can be ignored. for each of the processes a and b, (a) sketch the process on p-v coordinates, (b) evaluate the work, in kj, and (c) evaluate process the heat transfer, in kj