(b) derive the equation of motion of the system showing below using Newton's mechanics and find its natural frequency ($\omega_n$)? assuming that $k_1 = k_2$ and $k_3 = 2k_1$. Take $k_2 = 4$ (N/m) and $m = 2.5$ (kg).
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In this system, there are two forces acting on the mass: the force due to the spring on the left (k1) and the force due to the spring on the right (k3). The force due to the spring on the left is given by Hooke's Law: F1 = -k1x, where x is the displacement of the Show more…
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