This paper introduces a methodology, algorithms, and the achieved results for determining the damping coefficient using a microelectromechanical systems (MEMS) accelerometer, specifically for finite element method (FEM) simulations. The paper not only showcases the results but also employs several independent verification procedures to confirm the validity of the obtained damping coefficient. The determined damping coefficient is presented directly in SI units, making it readily applicable to a specific object, while it is usually given as a percentage. The accuracy of the determined damping ratio was validated through unbiased experiments, an in-house computational Python program. Additionally, to ensure the correctness of the determined damping coefficient, a practical example was provided wherein FEM simulation was executed using a discrete element as a damper within ANSYS LS-Dyna software to corroborate the results. The authors emphasize that the proposed method for determining the damping coefficient is both efficient and can be implemented without the necessity of complex equipment. This novel methodology for assessing a damping coefficient serves as a promising alternative to Rayleigh Damping, which lacks a direct physical correlation. Moreover, it opens up significant possibilities for broader application in various engineering fields, including structural dynamics, vibration analysis, and mechanical system optimization.