The mass-spring system is subject to natural laws of gravity and the reaction to the spring wire and the surrounding, so the swing is affected by these factors that are in the form of forces, and therefore the continued swing of the wire depends on the effect of these forces affecting the body attached to the spring wire, but it is possible to influence one way or another with an external force to quench this power to keep the wire moving continuously. If this is achieved, this phenomenon can be exploited in various practical fields such as energy production, for example. This paper will be concerned with how to influence with an external force that ensures the continuity of the spring wire movement. Since the responsibility for the motion of this system is a second-order differential equation, the damping coefficient listed within the wire movement equation will be dealt with the addition of an external force.
Mass-Spring, Damped Mass-Spring, Second Order ODE, Harmonic Oscillation, Stability of 2nd order ODE
