Question

A forced mass-spring-damper system obeys the following linear differential equation m \ddot{x}+c \dot{x}+k x=f The dependent variable 'x' represents displacement of the mass 'm'. The value of 'm', along with

those of the specified undamped natural frequency on and damping ratio 5 are provided in the datasheet. Calculate the: (a) Required values of c and k in Sl units (b) Gain (dB) of the force-to-displacement transfer function x(s)/f(s) at angular (radian)frequencies o of 0.1, 1.0 and 10 times w

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