Abstract: In this experiment, the primary goal is to investigate the free vibration characteristics of a single-degree-of-freedom (SDOF) mechanical system. The objectives include determining the system natural frequency, damping ratio, and analyzing its transient behavior during free vibrations. We employ a combination of theoretical analysis, numerical simulations using Simulink, and experimental observations to achieve these objectives. Numerical results provide insights into the dynamic response, revealing critical system behaviors such as damping effects. The discussion contextualizes the findings within the realm of mechanical engineering principles, emphasizing practical implications. In conclusion, this study offers an understanding of SDOF system dynamics, with applications in engineering design and analysis.