Consider the impulse response x(t) for the mechanical system shown below. x(t) Amplitude 0.2 0.15 0.1 0.05 0 -0.05 -0.1 -0.15 0 2 4 Impulse Response A 6 Time (sec) 8 10 = X(s) 1 P(s) s + 23wns + w/7/12/2 12 p(t) M www 1. Find the logarithmic decrement d of the system and the damping ratio . 2. Determine the natural frequency on of the system in order to obtain the transfer function of the system: k