# damped linear pendulum

The equation of motion for a damped linear pendulum is

(d^2?/dt^2)+2?(d?/dt)+Ï?^2?=0

where Ï?=sqrt(l/g) and ? are positive constants, with l the length of the pendulum and g gravity. If l=1, g=9.81 and ?=1/4 and ?(0)=3, how long does it take the pendulum swinging from rest to reach the position ?=0. How long does it take to reach ?=0 a second time?

https://brainmass.com/physics/periodic-motion/damped-linear-pendulum-380574

#### Solution Summary

The equation of motion for a damped linear pendulum is depicted.

$2.19