Section $5\mathrm{.}4\mathrm{.}4$

$5\mathrm{.}16$ Consider the machine of $25$ kg mass that is mounted on springs and dampers as shown in Figure E$5\mathrm{.}16.$ The equivalent stiffness of the spring combination is $9k\frac{N}{m},$ and the equivalent damping of the damper combination is $150N*\frac{s}{m}.$ An excitation force $F(t)$ is directly applied to the mass of the system, as shown in the figure. Consider the displacement $x(t)$ as the output, the forcing $F(t)$ as the input, and determine the frequency response of this system.

Figure E$5.16.$