Problem 5 : (10 pts) Linearization: A hydraulic control system with states (v, p) (where v is the velocity and p is pressure) and input pressure p 0 as input and velocity v as output, has the following dynamics: a) (3 pts) Find the equilibrium states when the input p0 is . b) (7 pts) Find a linear approximation of the state dynamics at these equilibrium conditions and represent them as x-dot

Describe one experiment in which the glass transition temperature and melting temperature of a totally amorphous thermoplastic material can be determined. show the relevant experimental results in a diagram which should be properly annotated with the two temperatures clearly marked. what is likely to happen to the curve in the diagram if the amorphous polymer is replaced by a thermosetting type?