Consider the mechanical system shown in Figure P3.71. The differential equation relating

Chapter 3, Problem 3.71

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Consider the mechanical system shown in Figure P3.71. The differential equation relating velocity v(t) and the input force f(t) is given by f(t) v(t) ~ B Bv(t) + K I v(t) dt = j(t). (a) Assuming that the output is f,(t), the compressive force acting on the spring, write the differential equation relating f,(t) and f(t). Obtain the frequency response of the system, and argue that it approximates that of a lowpass filter. (b) Assuming that the output is /J(t), the compressive force acting on the dashpot, write the differential equation relating /J(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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