Consider the damped pendulum system
dθ/dt=v
dv/dt=−(g/l)*sinθ−(b/ml)*v
where b is the damping coefficient, m is the mass of the bob, l is the length of the arm, and g is the acceleration of gravity (g≈9.8m/s^2).
What relationship must hold between the parameters b, m, and l for the period of a small swing back and forth of the damped pendulum to be one second?
The answer must be equal to 1/2*pi.

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