# damped linear pendulum

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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?

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

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