Chapter 4, Problem 18P

a.

To determine

The damping ratio, natural frequency, and type of response for the below transfer function.

  $T(s)=\frac{2}{s+2}$

b.

To determine

The damping ratio, natural frequency and type of response for the below transfer function.

  $T(s)=\frac{5}{(s+3)(s+6)}$

c.

To determine

The damping ratio, natural frequency and type of response for the below transfer function.

  $T(s)=\frac{10(s+7)}{(s+10)(s+20)}$

d.

To determine

The damping ratio, natural frequency and type of response for the below transfer function.

  $T(s)=\frac{20}{(s^2+6s+144)}$

e.

To determine

The damping ratio, natural frequency and type of response for the below transfer function.

  $T(s)=\frac{s+2}{(s^2+9)}$

f.

To determine

The damping ratio, natural frequency and type of response for the below transfer function.

  $T(s)=\frac{s+5}{{(s+10)}^2}$