Assignment Problem

For the single degree of freedom system presented in the figure below, assume small displacement motion at the reference shown as $\backslash (\backslash$mathrm$\{$x$\}(\backslash$mathrm$\{$t$\})\backslash )$ to find the following:

Task$-1$: The equivalent mass of the system.

Task$-2$: The equivalent stiffness of the system.

Task$-3$: The natural frequency of the system.

Task$-4$: The equation of motion.