Explore BrainMass

Damped Simple Harmonic Motion

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.

Solution Preview

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 ...

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.