Problem L5.1. For the transfer function given in Eq. 3 and m=1kg adjust the values of
\zeta and \omega _(n) to determine their effects on the system.
(a) How does \zeta affect the damping of the system? For what values of \zeta is the system
underdamped, over-damped, and critically damped?
(b) How does \omega _(n) and \zeta affect the time constant for under-damped systems? What about
for over-damped systems?
(c) What affect does \zeta have on the percent overshoot of the system? What affect does \omega _(n)
have on the percent overshoot of the system?
(d) How do \zeta and \omega _(n) affect the maximum peak value of the system?
USE MATLAB