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