Mass-Spring System with Damping
This animation shows two 1-DOF mass-spring systems initially at rest, but displaced from equilibrium by \( x=x_{\rm max|} \). The black mass on the left is undamped and the blue mass on the right is damped (underdamped). After being released from rest the undamped (black) mass exhibits simple harmonic motion with a constant amplitude while the damped (blue) mass exhibits an oscillatory motion which decays with time as the damping removes energy each cycle of oscillation