Suppose a spring has mass and spring constant and let . Suppose that the damping constant is so small that the damping force is negligible. if an external force is applied, where , use the method of undetermined coefficients to show that the motion of the mass is described by the equation

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Coleen AmadoLv10

11 Mar 2021

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Is called a simple harmonic oscillator. Examples of the simple harmonic oscillator are a mass suspended from a spring and a pendulum swinging through a small angle, in the absence of frictional damping forces. When we take damping forces into account, we obtain a damped harmonic oscillator: