# Damped Harmonic Oscillator

Not what you're looking for? Search our solutions OR ask your own Custom question.

(A) A damped oscillator is described by the equation:

m [(x)ddot] = ?b [(x)dot] ? kx

What is the condition for critical damping? Assume this condition is satisfied.

(B) For t < 0 the mass is at rest at x = 0. The mass is set in motion by a sharp impulsive force at t = 0, so that the velocity is v0 at time t = 0. Determine the position x(t) for t > 0.

(C) Determine the maximum displacement of the mass for t > 0.

(D) Suppose m = 1 kg and squareroot{k/m} = 2(pi)rad/s. Calculate the maximum displacement for t > 0, as a function of v0. Hand in an accurate graph of xmax versus v0.

Â© BrainMass Inc. brainmass.com March 6, 2023, 2:52 pm ad1c9bdddfhttps://brainmass.com/physics/velocity-time-graphs/problems-damped-harmonic-oscillator-466470

#### Solution Summary

We solve problems involving a damped harmonic oscillator.

$2.49