Question $1[05$ points$]$

Determine whether each of the following statements is true or false. If a statement is false, correct it:

$1\mathrm{.}1$ A system with a damping ration is said to be critically damped.

$1\mathrm{.}2$ An N degree of freedom system with no repeated natural frequencies will have an infinity number of resources.

$1\mathrm{.}3$ An anti$-$resonance in a multi degree of freedom system typically exhibits small motions when excited at that frequency.

$1\mathrm{.}4$ A rigid body mode has a corresponding natural frequency of ${}_n=0.$

$1\mathrm{.}5$ The response of a single degree of freedom system excited by a harmonic force with a frequency greater than the system's natural frequency will be in phase with the excitation.