(Solved): 6. Write the equation of motion for the system shown in the figure using the variable \( \mathrm{x ...

6. Write the equation of motion for the system shown in the figure using the variable \( \mathrm{x} \) and determine its natural frequency assuming the disk does not slip. For mass and inertia, only consider the solid circular disk. Neglect other mass. \[ \mathrm{m}=5 \mathrm{~kg} \quad r=0.5 \text { meters } \quad \mathrm{k}=300 \mathrm{~N} / \mathrm{m} \]