SKEE $3133$

$6$

NAME: $q,$

QUESTION $3$

Vibration absorbers are used to protect machines that work at the constant speed from steadystate harmonic disturbance. Figure Q$3$ shows a simple vibration absorber system, where $f(t)$ is the external force, and $x_1(t)$ and $x_2(t)$ are the linear displacements of the motion. Assuming there is no gravitational force to the system, obtain:

a$)$ The differential equation of motion for the system.

b$)$ The transfer function, $G(s)=\frac{x_2(s)}{F(s)}.$

$[10$ marks$]$

Answer for Question $3$: