Q$1$: Answer the following $($True or False$)$:

$1-$ The unbalance in the rotating machine leads to free vibration.

$2-$ If a system vibrates due to external excitation, it is called a free vibration.

$3-$ Beating occurs when the forcing frequency exactly equal to the natural frequency.

$4-$ The transient response represents a motion that decays with time and can be neglected after a specific time.

$5-$ Undamped vibration occurs as no energy is lost or dissipated in friction or other resistance during oscillation.

$6-$ The degree of freedom refers to the number of independent coordinates needed to describe the system's configuration at any time.

$7-$ In the translational motion of the body, the angular velocity and angular acceleration are equal to zero.

$8-$ The amplitude of the underdamped system decreases exponentially with time.