Equation of motion for a damped linear pendulum


Assignment:

Question 1. The equation of motion for a damped linear pendulum is

(d^2 θ)/?dt?^2 +2γ dθ/dt+ω^2 θ=0,

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

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Physics: Equation of motion for a damped linear pendulum
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