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Physical Sciences and Mathematics Commons

Open Access. Powered by Scholars. Published by Universities.®

Mathematics

University of South Florida

Journal

2017

Hooke's law

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Full-Text Articles in Physical Sciences and Mathematics

Application Of Simple Harmonics Modeling A Shock, Kai Raymond Jan 2017

Application Of Simple Harmonics Modeling A Shock, Kai Raymond

Undergraduate Journal of Mathematical Modeling: One + Two

This project entails modeling a spring-shock absorber system in order to evaluate the position of a mass when this system is acted upon by outside forces. We will restrict our attention to the linear case where it is assumed that Hooke’s law gives the force exerted by the spring, and the resistance of the system will be proportional to the velocity of the mass. We analyze the time and frequency domain of the absorber system and compute its impulse response.