Consider the mechanical system shown in Figure P3.7I . The differential equation relating velocity v(t) and the input force f(t) is given by
(a) Assuming that the output is . Obtain the frequency response of the system, and argue that it approximates that of a lowpass filter.
(b) Assuming that the output is fd(t), the compressive force acting on the dash-pot, write the differential equation relating fd(t) and f (t). Obtain the frequency response of the system, and argue that it approximates that of a highpass filter.
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