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Damped Simple Harmonic Motion

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A mass of 25g is attached to a vertical spring with a spring constant k = 3 dyne/cm. The surrounding medium has a damping constant of 10 dyne*sec/cm. The mass is pushed 5 cm above its equilibrium position and released. Find (a) the position function of the mass, (b) the period of the vibration, and (c) the frequency of the vibration.

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Solution Summary

The solution is comprised of detailed explanations of damped simple harmonic motion. By solving the differential equation, the motion of the mass attached to a spring in the damping medium is described step-by-step.

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Please see the attached file for detailed solution.

Since we adjust the coordinate system so that x = 0 corresponds to the spring being unstretched, then the ...

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